### College Of Education Department Of Mathematics Education

Dept. location | |||
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Phone | 02-2220-2630 | Fax | 02-2291-4447 |

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Homepage | |||

SNS |

#### Introduction

As is evident from the name, the Mathematics Education Department is a place to train math teachers. In order to become a good teacher, a deep understanding in "mathematics, education, and mathematics education" is necessary.In this department, "mathematics" is not focused on problem solving, which we learned in middle and high school, but is focused on the logic of the study. In other words, students learn math as a discipline. Most courses in the Department of Mathematics Education are similar to courses taught in the Department of Mathematics. However, the difference is that mathematics education focuses on "pure mathematics" such as algebra, analytics, and topological mathematics rather than applied mathematics. Through pedagogy, students learn various theories in a wide range of areas such as psychology, counseling, curriculum, and evaluation.

mathematics to students as mathematics developed from the past to the present. As students learn about these theories and philosophies, they spend considerable time on how to apply them to actual classes and in defining what is a good class.

#### Information

#### Highlights

**Talk Concert for Math Education**

This event is a time for high school students, math teachers, and math teachers-in-training to have conversation. Students can talk to teachers about their questions, concerns, and listen to their answers. Teachers also talk to students about the questions they have and share their experiences. Students and teachers use this opportunity to get to know each other.

**Club**

Although a small department, there are active bands and academic clubs within. The mathematics education band “3et theory” performs often in small theaters and Daehakro with their motto "you, me, music, and 3et theory”. The academic club “Mathemagicians” move away from general mathematics classes to study and develop various experiential mathematics classes and to apply them to the field with the motto of "Become a good teacher not just an instructor".

#### Outlook

Education and Academy | Math teacher(public and private school), professor, researcher related to education (developer of education program and educational instruments), etc. |
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Publishing | Author of math workbook and review, developer of educational instruments and textbooks. |

Public and Government agency | Public official in national educational organizations |

Corporation | firm, stock firm, and insurance company |

Financial and Accounting | Banker and accountant |

Mi-Kyung Ju / Professor | Dong-Uy Shin / Professor |

Byung-Geun Oh / Associate Professor | Cho, Sangbum / Associate Professor |

박상의 / IAB자문교수 | 강은주 / IAB자문교수 |

Lee, Hyung Yong / Adjunct Professor | JongEun Moon / Adjunct Professor |

Year | Term | No. | Curriculum | Course | Credits-lecture-experiential learning | |
---|---|---|---|---|---|---|

1 | 1 | CUL0005 | Korean Speaking and Writing | (Compulsory) Requirement in Fundamental Studies | 3-4-0 | |

Through kiscussion this course ask the following questions: (1) What is free associaton?; (2) How do you compose and make a text? How do you talk about a certain issue?; (3) What is rational and logical thought?; (4) How do you enhance originality and rationlity? The course help students acquire an understanding of text and composition. | ||||||

1 | 1 | CUL2018 | Understanding Education | Compulsory for Teacher Certification | 2-2-0 | |

Study of concepts, objectives, major topics and methodology of education. | ||||||

1 | 1 | GEN2052 | Calculus 1 | (Compulsory) Requirement in Fundamental Studies | 3-3-0 | |

Calculus is an essential knowledge for natural sciences and engineering. This course present the part of calculus which include taking limits, differentiating and integrating functions including a few transcendental ones and also deals with polar coordinate system, sequences and series. The aim of the course is to teach the students the basic concepts of mathematics and to train them so that they may be able to apply these basic concepts to various situations and may get used to scientific thinking. | ||||||

1 | 1 | GEN4091 | Philosophical Understanding of Science and Technology | (Compulsory) Requirement in Fundamental Studies | 2-2-0 | |

This course aims to cultivate among students the comprehensive understanding of science and technology in modern society, employing philosophical methods and concepts. To do this, the course offers a survey of some important theoretical results recently obtained in science and technology studies. We will carefully examime a number of concrete case-studies, ranging from the electrification of America, quantum revolution to the introduction of western science to traditional Korea. We will then discuss the intrinsic nature of modern science and technology as well as its socio-cultural aspects in the context of modern society. Students who take the course shall appreciate how modern science and technology from the nineteenth century has come to manifest a number of unique characteristics, which can be clearly distinguished from the science and technology of even, the eighteenth century. We will discuss in the class the significance of this difference. The course will also highlights the importance of dialogue between experts with different background and encourage more interactions between humanities and natural sciences, so that we can make well-informed and reasonable decisions concerning complicated issues which are so common in our multi-layered society. | ||||||

1 | 1 | GEN5029 | Career Development Ⅰ | (Compulsory) Requirement in Fundamental Studies | 1-1-0 | |

The ‘seminar for freshman students’ aims to cover the following aspects: etiquettes of the university life; how to use the university facilities; how to improve oneself and provision of ideal ways to utilize the student period. It aims to broaden the 1st year students’ point of view to their majors as well as the university life in general. The lecture will discuss studying skill including taking notes, taking exams, time management and subject enrollment in order to guide students to achieve an ideal studying pattern and further to set up a career path. It will also deal with basic information about diverse study areas, domestic and international social issues and career development. | ||||||

1 | 1 | GEN5070 | COMPREHENSION AND APPLICATION OF DIGITAL INFORMATION | (Compulsory) Requirement in Fundamental Studies | 3-2-2 | |

About lower is embossed with the change which is sudden in the digital society and the role which each one keeps from stage place of the lives which are new it applies a digital communication technique and the place where it displays enough the place objective which raises the ability which is necessary it is letting, ① the information search whose oneself is necessary at the digital network (know where), ② is searched information and ease re-application to be possible it classifies ③ and it accumulates and after quality attribute and reliability evaluation and judgement of information which is searched ④ editing processes information with the knowledge creation where the problem solving where oneself is confronting is possible is that concrete objective. | ||||||

1 | 1 | MAT2004 | Set Theory | (Compulsory) Requirement in Fundamental Studies | 3-3-0 | |

For modern mathematics, set theory is the underlying grammar for all disciplines. In fact, all the mathematical objects are built from the underlying set by imposing various structures, which are also given within set theory. This course offers basic concepts of set theory, such as the definition of a set, various operations between sets, function between sets, cardinality, and ordering. | ||||||

1 | 1 | SYH0001 | HUMAN LEADERSHIP | (Compulsory) Requirement in Fundamental Studies | 2-2-0 | |

Hanyang Leadership(HELP: Hanyang Essential Leadership Plus) is the leadership development program of Hanyang University that "helps" Hanyang students to be CEOs. The first step of this program, Hanyang Leadership(HELP1) is the core course for freshmen. This course is composed of 3 parts, "pride in Hanyang", "core values in global society" and "life planning". In "pride in Hanyang" students will review the history, values and vision of Hanyang University. In "core values in global society" students will study 6 core values and case study on the core values of global companys. In "life planning" students will reflect on their history and present and develop the vision and mission statement. | ||||||

1 | 1 | CUL0005 | Korean Speaking and Writing | (Compulsory) Requirement in Fundamental Studies | 3-4-0 | |

This class is opened in intention to express creative imagination though speech and writing. This class is divided by 2 parts explaining writing and thoughts, speech and culture. Writing and thoughts contains association training, structures of writing, description, compare and contrast and writing logical sentences. Speech and culture criticizes culture and literature. Both parts contains many programs that enables students to participate. That should make the class interesting and also valuable. | ||||||

1 | 1 | EDU1001 | Introduction to Education | Elective for Teacher Certification | 2-2-0 | |

Study of concepts, objectives, major topics and methodology of education. | ||||||

1 | 1 | GEN2052 | Calculus 1 | (Compulsory) Requirement in Fundamental Studies | 3-3-0 | |

Calculus is an essential knowledge for natural sciences and engineering. This course present the part of calculus which include taking limits, differentiating and integrating functions including a few transcendental ones and also deals with polar coordinate system, sequences and series. The aim of the course is to teach the students the basic concepts of mathematics and to train them so that they may be able to apply these basic concepts to various situations and may get used to scientific thinking. | ||||||

1 | 1 | GEN4091 | Philosophical Understanding of Science and Technology | (Compulsory) Requirement in Fundamental Studies | 2-2-0 | |

His career as a wide range of knowledge and lessons learned in the previous semester plan to explore in depth the process. Employment working in the industry of major interest to seniors invited to hear the information about the industry to prepare for what you need to learn knowhow. In addition, students who already have a job that aim to visit seniors plan their careers and the skills necessary to equip determined to develop a career that any plan. | ||||||

1 | 1 | GEN5029 | Career Development Ⅰ | (Compulsory) Requirement in Fundamental Studies | 1-1-0 | |

The ‘seminar for freshman students’ aims to cover the following aspects: etiquettes of the university life; how to use the university facilities; how to improve oneself and provision of ideal ways to utilize the student period. It aims to broaden the 1st year students’ point of view to their majors as well as the university life in general. The lecture will discuss studying skill including taking notes, taking exams, time management and subject enrollment in order to guide students to achieve an ideal studying pattern and further to set up a career path. It will also deal with basic information about diverse study areas, domestic and international social issues and career development. | ||||||

1 | 1 | GEN6044 | Hanyang Community Service | (Compulsory) Requirement in Fundamental Studies | 1-0-2 | |

His career as a wide range of knowledge and lessons learned in the previous semester plan to explore in depth the process. Employment working in the industry of major interest to seniors invited to hear the information about the industry to prepare for what you need to learn knowhow. In addition, students who already have a job that aim to visit seniors plan their careers and the skills necessary to equip determined to develop a career that any plan. | ||||||

1 | 1 | MAT2004 | Set Theory | (Compulsory) Requirement in Fundamental Studies | 3-3-0 | |

For modern mathematics, set theory is the underlying grammar for all disciplines. In fact, all the mathematical objects are built from the underlying set by imposing various structures, which are also given within set theory. This course offers basic concepts of set theory, such as the definition of a set, various operations between sets, function between sets, cardinality, and ordering. | ||||||

1 | 1 | SYH0001 | HUMAN LEADERSHIP | (Compulsory) Requirement in Fundamental Studies | 2-2-0 | |

Hanyang Leadership(HELP: Hanyang Essential Leadership Plus) is the leadership development program of Hanyang University that "helps" Hanyang students to be CEOs. The first step of this program, Value Leadership(HELP1) is the core course for freshmen. This course is composed of 3 parts, "pride in Hanyang", "core values in global society" and "life planning." In "pride in Hanyang", students will review the history, values and vision of Hanyang University. In "core values in global society", students will study 6 core values and cases on the core values of global companies. In "life planning", students will reflect on their past and present and develop their vision and mission statement. | ||||||

1 | 1 | CUL0005 | Korean Speaking and Writing | (Compulsory) Requirement in Fundamental Studies | 3-3-0 | |

This course is to understand about the culture of the moderns, can be represented in the speaking and writing skills and a free imagination, and creative and critical reason for celebration. In addition, students can participate in lectures and presentations, a discussion of the end of class for free and a variety of writing and the correct writing of the progress and lessons will be conducted. Subjective reason ability and come in a variety of situations, each student through this class so that you can be a true and accurate communication, speaking and writing skills will be able to exert. | ||||||

1 | 1 | EDU1001 | Introduction to Education | Elective for Teacher Certification | 2-2-0 | |

Study of concepts, objectives, major topics and methodology of education. | ||||||

1 | 1 | GEN2052 | Calculus 1 | (Compulsory) Requirement in Fundamental Studies | 3-3-0 | |

Calculus is an essential knowledge for natural sciences and engineering. This course present the part of calculus which include taking limits, differentiating and integrating functions including a few transcendental ones and also deals with polar coordinate system, sequences and series. The aim of the course is to teach the students the basic concepts of mathematics and to train them so that they may be able to apply these basic concepts to various situations and may get used to scientific thinking. | ||||||

1 | 1 | GEN4091 | Philosophical Understanding of Science and Technology | (Compulsory) Requirement in Fundamental Studies | 3-3-0 | |

This course aims to survey some important theoretical results recently obtained in science and technology studies. We will carefully examine a number of concrete case studies studied by scholars from philosophy of science and technology, sociology of science and technology, and history of science and technology. The students taking the course shall learn various aspects of modern science and technology in the context of modern society. They shall appreciate how modern science and technology from the nineteenth century has come to manifest a number of its unique features, which can be clearly distinguished from the science and technology of even, the eighteenth century. We will discuss in the class the significance of differences for proper understanding of science and technology of our time. The course will also encourage more interactions between humanities and natural sciences so that we can make well-informed and reasonable decisions concerning complicated issues which are so common in our multi-layered society. The target audience of the course is students studying natural sciences and/or engineering. The contents of the course will be stylized each term, considering the student';s needs and backgrounds. | ||||||

1 | 1 | GEN5029 | Career Development Ⅰ | (Compulsory) Requirement in Fundamental Studies | 1-1-0 | |

The ‘seminar for freshman students’ aims to cover the following aspects: etiquettes of the university life; how to use the university facilities; how to improve oneself and provision of ideal ways to utilize the student period. It aims to broaden the 1st year students’ point of view to their majors as well as the university life in general. The lecture will discuss studying skill including taking notes, taking exams, time management and subject enrollment in order to guide students to achieve an ideal studying pattern and further to set up a career path. It will also deal with basic information about diverse study areas, domestic and international social issues and career development. | ||||||

1 | 1 | GEN6044 | Hanyang Community Service | (Compulsory) Requirement in Fundamental Studies | 1-0-2 | |

His career as a wide range of knowledge and lessons learned in the previous semester plan to explore in depth the process. Employment working in the industry of major interest to seniors invited to hear the information about the industry to prepare for what you need to learn knowhow. In addition, students who already have a job that aim to visit seniors plan their careers and the skills necessary to equip determined to develop a career that any plan. | ||||||

1 | 1 | MAT2004 | Set Theory | (Compulsory) Requirement in Fundamental Studies | 3-3-0 | |

For modern mathematics, set theory is the underlying grammar for all disciplines. In fact, all the mathematical objects are built from the underlying set by imposing various structures, which are also given within set theory. This course offers basic concepts of set theory, such as the definition of a set, various operations between sets, function between sets, cardinality, and ordering. | ||||||

1 | 1 | SYH0001 | HUMAN LEADERSHIP | (Compulsory) Requirement in Fundamental Studies | 2-2-0 | |

Hanyang Leadership(HELP: Hanyang Essential Leadership Plus) is the leadership development program of Hanyang University that "helps" Hanyang students to be CEOs. The first step of this program, Human Leadership(HELP1) is a course offered to freshmen students. It is focused on helping them establish characters and values. By enhancing their humanistic sensitivities and knowledge they learn core values and leadership. Students discover themselves through HELP1 and are able to decide what kind of person they want to be. HELP1 helps students establish their values and prepare them to be balanced leaders who can adjust to new environments. | ||||||

1 | 1 | CUL0005 | Korean Speaking and Writing | Compulsory General Studies | 3-3-0 | |

Through kiscussion this course ask the following questions: (1) What is free associaton?; (2) How do you compose and make a text? How do you talk about a certain issue?; (3) What is rational and logical thought?; (4) How do you enhance originality and rationlity? The course help students acquire an understanding of text and composition. | ||||||

1 | 1 | CUL0011 | Creative Computing | Compulsory General Studies | 3-1-2 | |

For students of no experience in computer programming area, the fundamental concepts and the methods of application of a computer programming language will be studied and learned by going through a developing process of a simple computer game from the bottom using "Python", very easy programming language to start. By inducing students to discuss freely and have question and answer sessions briskly about questions coming to mind during developing computer programs in practice, students will acquire computer programming understandings. Then the purpose of this course is to develop their ability to produce creative ideas in fusion technique for their major area in highly information-oriented society. | ||||||

1 | 1 | EDU1001 | Introduction to Education | Elective for Teacher Certification | 2-2-0 | |

Study of concepts, objectives, major topics and methodology of education. | ||||||

1 | 1 | GEN2052 | Calculus 1 | Basic Major | 3-3-0 | |

1 | 1 | GEN4091 | Philosophical Understanding of Science and Technology | Compulsory General Studies | 3-3-0 | |

This course aims to cultivate among students the comprehensive understanding of science and technology in modern society, employing philosophical methods and concepts. To do this, the course offers a survey of some important theoretical results recently obtained in science and technology studies. We will carefully examime a number of concrete case-studies, ranging from the electrification of America, quantum revolution to the introduction of western science to traditional Korea. We will then discuss the intrinsic nature of modern science and technology as well as its socio-cultural aspects in the context of modern society. Students who take the course shall appreciate how modern science and technology from the nineteenth century has come to manifest a number of unique characteristics, which can be clearly distinguished from the science and technology of even, the eighteenth century. We will discuss in the class the significance of this difference. The course will also highlights the importance of dialogue between experts with different background and encourage more interactions between humanities and natural sciences, so that we can make well-informed and reasonable decisions concerning complicated issues which are so common in our multi-layered society. | ||||||

1 | 1 | GEN5029 | Career Development Ⅰ | Compulsory General Studies | 1-1-0 | |

1 | 1 | MAT2006 | Number Theory | Core Major | 3-3-0 | |

Introduction to the theory of numbers, including prime numbers, congruences with applications, primitive roots, quadratic residues and quadratic reciprocity. An introduction to some of the ideas and outstanding problems of modern number theory. | ||||||

1 | 1 | SYH0001 | Love in deed and truth1(Hanyang Nanum) | Compulsory General Studies | 2-2-0 | |

Hanyang Leadership(HELP: Hanyang Essential Leadership Plus) is the leadership development program of Hanyang University that "helps" Hanyang students to be CEOs. The first step of this program, Hanyang Leadership(HELP1) is the core course for freshmen. This course is composed of 3 parts, "pride in Hanyang", "core values in global society" and "life planning". In "pride in Hanyang" students will review the history, values and vision of Hanyang University. In "core values in global society" students will study 6 core values and case study on the core values of global companys. In "life planning" students will reflect on their history and present and develop the vision and mission statement. | ||||||

1 | 2 | EDU1002 | Educational Psychology | Elective for Teacher Certification | 2-2-0 | |

Psychological foundations of education covering individual needs, learning process, and adjustment. | ||||||

1 | 2 | EDU2003 | Sociology of Education | Elective for Teacher Certification | 2-2-0 | |

Social function of education, cultural change, significance of socio-economic development, urban and rural education, and educational roles of mass media. | ||||||

1 | 2 | EDU2014 | Philosophy & History of Education | Elective for Teacher Certification | 2-2-0 | |

Philosophical bases of educational practices; application of the theories. Education from ancient to present times; modern education. | ||||||

1 | 2 | EDU3016 | Curriculum & Evaluation | Elective for Teacher Certification | 2-2-0 | |

This course provides a broad overview of ways togather, analyze, and interpret data to improve educational programs. Program evaluation appraises the appeal and instructional effectiveness of curriculum materials through various alternative evaluation approaches. Emphasis on practical guidelines for planning, conducting and using evaluation. | ||||||

1 | 2 | GEN1031 | Computer Programming | (Compulsory) Requirement in Fundamental Studies | 2-2-2 | |

GEN131 Principles of Computer Programming This class teaches the basic principles and techniques for solving real word problems using computers. Students can develop the ability to design efficient programs by learning the syntax of high level languages, the concepts of and elementary methodology for program design, and implementation techniques. Topics to be covered include the concepts of computer programming, basic programming methodology, data types, operators, expressions, control flow, functions, program structure, pointers and arrays. | ||||||

1 | 2 | GEN1093 | Practical English Conversation 1 | (Compulsory) Requirement in Fundamental Studies | 3-4-0 | |

The objective of this program is to develop communicative competence and motivation to communicate in English both inside and outside of the classroom. The rationale for the program is basically to provide students with a sound opportunity to develop the 4 language skills: listening, speaking, reading and writing. The proposed program combines spoken and reading components in a single class format with clear emphasis on spoken English; it utilizes a communicative approach, targeting spoken language skills in conjunction with reading skills, and reserving writing for homework (although minimal writing will b done in class). The 4 language skills will be integrated witin a well-conceived spoken English program which emphasizes speaking time in class. | ||||||

1 | 2 | GEN2053 | Calculus 2 | (Compulsory) Requirement in Fundamental Studies | 3-3-0 | |

This course is a continuation of CALCULUS1, which aims at preparing the students for their study in their respective major subjects in natural sciences or engineering by equipping them with the knowledge of calculus and some basics of analytic geometry so that they may have the necessary mathematical background and the ability to take logical approaches when they confront the various problems in their study. The course presents the part of calculus and analytic geometry which include linear algebra, matrices and systems of linear equations, functions of several variables, partial differentiation, double integration and vector calculus, which are more advanced subjects then those of CALCULUS1. | ||||||

1 | 2 | MAT2068 | History of Mathematics & History of Mathematics Education | (Compulsory) Requirement in Fundamental Studies | 3-3-0 | |

This course provides a review of the mathematics history from the ancient to the modern time in order for preservice teachers to understand mathematics as historical product of human endeavor. Preservice teachers in this course develop teaching plans based on the investigation of the genetic process of mathematics in history. In the latter part, this course introduces the history of mathematics education from the beginning of the twentieth centuries. Preservice students review the current mathematics curriculum to understand its goals of education and principles for teaching and learning mathematics. | ||||||

1 | 2 | EDU1002 | Educational Psychology | Elective for Teacher Certification | 2-2-0 | |

This course is a broad overview of eclectic approach which brings the contributions of behaviorist, cognitive, and humanistic psychologists and educators to bear on the teaching experience. The study topics contain a practical application of the basic principles of infant, child, adolescent development, learning process, memory, motivation, cognition, and affection. The purpose of this course is to provide a detail overview of educational topics and issues. For example, it includes instructional objectives, instructional design, individualized instruction, and educational testing and measurement. | ||||||

1 | 2 | EDU1010 | MULTICULTURAL SOCIETY AND EDUCATION | (Compulsory) Requirement in Fundamental Studies | 2-2-0 | |

This course aims to explore the major concepts, theories, and policies that explain the foundations of education in multicultural societies. A modern society has embraced diverse racial, ethnic, and cultural groups. Attuned with this change, educational discussion involving around social diversity has been required. The course helps students understand various dimensions of multicultural society and education. | ||||||

1 | 2 | EDU2003 | Sociology of Education | Elective for Teacher Certification | 2-2-0 | |

Social function of education, cultural change, significance of socio-economic development, urban and rural education, and educational roles of mass media. | ||||||

1 | 2 | EDU2014 | Philosophy & History of Education | Elective for Teacher Certification | 2-2-0 | |

Philosophical bases of educational practices; application of the theories. Education from ancient to present times; modern education. | ||||||

1 | 2 | EDU2062 | SOCIOLOGY OF EDUCATION & LIFELONG EDUCATION | Elective for Teacher Certification | 2-2-0 | |

This course assumes education as a basically social process and adopts a sociological perspective in order to better understand the nature of various aspects of education as a modern institution. Some of the major issues to be dealt in this course are as follows: the origin and expansion of modern educational system, the effects of education, the relationship between education and social change, equality in educational opportunity and the education and national development. | ||||||

1 | 2 | EDU3016 | Curriculum & Evaluation | Elective for Teacher Certification | 2-2-0 | |

This course provides a broad overview of ways togather, analyze, and interpret data to improve educational programs. Program evaluation appraises the appeal and instructional effectiveness of curriculum materials through various alternative evaluation approaches. Emphasis on practical guidelines for planning, conducting and using evaluation. | ||||||

1 | 2 | GEN2053 | Calculus 2 | (Compulsory) Requirement in Fundamental Studies | 3-3-0 | |

This course is a continuation of CALCULUS1, which aims at preparing the students for their study in their respective major subjects in natural sciences or engineering by equipping them with the knowledge of calculus and some basics of analytic geometry so that they may have the necessary mathematical background and the ability to take logical approaches when they confront the various problems in their study. The course presents the part of calculus and analytic geometry which include linear algebra, matrices and systems of linear equations, functions of several variables, partial differentiation, double integration and vector calculus, which are more advanced subjects then those of CALCULUS1. | ||||||

1 | 2 | GEN6032 | PROFESSIONAL ACADEMIC ENGLISH | (Compulsory) Requirement in Fundamental Studies | 3-4-0 | |

The Professional Academic English for students at Hanyang University focuses on the development of the oral and written communication skills, which are required in the globalized world community. The course aims to help students develop the competencies that are required in their future studies and career: professional knowledge, interpersonal and communicative competences. The course requires the students to develop creative problem solving skills. For this, the students perform various tasks by investigating and analyzing engineering topics as well as developing solutions. The students’ communication and negotiation skills are systematically supported by language skill development such as learning academic forms and structures of the language that are used in formal oral presentations and essays. The expected course outcome is that students are able to write academic reports, participate in discussions and make oral presentations in English on their major topics. Throughout the course, the students are encouraged to explore various major-related topics, to conduct systematic problem analyses, and to collaborate for creative problem solutions. Classroom activities mainly focus on the oral presentation and writing skills, and the preparatory activities of the essay writing. The course requires the students to make three oral presentations and write three essays in English on their major-related topics. Students are required to make a portfolio of their work, to be submitted and assessed. This will be discussed in class. | ||||||

1 | 2 | MAT2006 | Number Theory | Core Major | 3-3-0 | |

Introduction to the theory of numbers, including prime numbers, congruences with applications, primitive roots, quadratic residues and quadratic reciprocity. An introduction to some of the ideas and outstanding problems of modern number theory. | ||||||

1 | 2 | MAT2068 | History of Mathematics & History of Mathematics Education | (Compulsory) Requirement in Fundamental Studies | 3-3-0 | |

This course provides a review of the mathematics history from the ancient to the modern time in order for preservice teachers to understand mathematics as historical product of human endeavor. Preservice teachers in this course develop teaching plans based on the investigation of the genetic process of mathematics in history. In the latter part, this course introduces the history of mathematics education from the beginning of the twentieth centuries. Preservice students review the current mathematics curriculum to understand its goals of education and principles for teaching and learning mathematics. | ||||||

1 | 2 | EDU1002 | Educational Psychology | Elective for Teacher Certification | 2-2-0 | |

This course is a broad overview of eclectic approach which brings the contributions of behaviorist, cognitive, and humanistic psychologists and educators to bear on the teaching experience. The study topics contain a practical application of the basic principles of infant, child, adolescent development, learning process, memory, motivation, cognition, and affection. The purpose of this course is to provide a detail overview of educational topics and issues. For example, it includes instructional objectives, instructional design, individualized instruction, and educational testing and measurement. | ||||||

1 | 2 | EDU1010 | MULTICULTURAL SOCIETY AND EDUCATION | (Compulsory) Requirement in Fundamental Studies | 2-2-0 | |

This course aims to explore the major concepts, theories, and policies that explain the foundations of education in multicultural societies. A modern society has embraced diverse racial, ethnic, and cultural groups. Attuned with this change, educational discussion involving around social diversity has been required. The course helps students understand various dimensions of multicultural society and education. | ||||||

1 | 2 | EDU2003 | Sociology of Education | Elective for Teacher Certification | 2-2-0 | |

Social function of education, cultural change, significance of socio-economic development, urban and rural education, and educational roles of mass media. | ||||||

1 | 2 | EDU2014 | Philosophy & History of Education | Elective for Teacher Certification | 2-2-0 | |

Philosophical bases of educational practices; application of the theories. Education from ancient to present times; modern education. | ||||||

1 | 2 | EDU2062 | SOCIOLOGY OF EDUCATION & LIFELONG EDUCATION | Elective for Teacher Certification | 2-2-0 | |

This course assumes education as a basically social process and adopts a sociological perspective in order to better understand the nature of various aspects of education as a modern institution. Some of the major issues to be dealt in this course are as follows: the origin and expansion of modern educational system, the effects of education, the relationship between education and social change, equality in educational opportunity and the education and national development. | ||||||

1 | 2 | EDU3016 | Curriculum & Evaluation | Elective for Teacher Certification | 2-2-0 | |

This course provides a broad overview of ways togather, analyze, and interpret data to improve educational programs. Program evaluation appraises the appeal and instructional effectiveness of curriculum materials through various alternative evaluation approaches. Emphasis on practical guidelines for planning, conducting and using evaluation. | ||||||

1 | 2 | EDU3078 | Curriculum | Elective for Teacher Certification | 2-2-0 | |

1 | 2 | GEN2053 | Calculus 2 | (Compulsory) Requirement in Fundamental Studies | 3-3-0 | |

This course is a continuation of CALCULUS1, which aims at preparing the students for their study in their respective major subjects in natural sciences or engineering by equipping them with the knowledge of calculus and some basics of analytic geometry so that they may have the necessary mathematical background and the ability to take logical approaches when they confront the various problems in their study. The course presents the part of calculus and analytic geometry which include linear algebra, matrices and systems of linear equations, functions of several variables, partial differentiation, double integration and vector calculus, which are more advanced subjects then those of CALCULUS1. | ||||||

1 | 2 | GEN6032 | PROFESSIONAL ACADEMIC ENGLISH | (Compulsory) Requirement in Fundamental Studies | 3-3-0 | |

The Professional Academic English for students at Hanyang University focuses on the development of the oral and written communication skills, which are required in the globalized world community. The course aims to help students develop the competencies that are required in their future studies and career: professional knowledge, interpersonal and communicative competences. The course requires the students to develop creative problem solving skills. For this, the students perform various tasks by investigating and analyzing engineering topics as well as developing solutions. The students’ communication and negotiation skills are systematically supported by language skill development such as learning academic forms and structures of the language that are used in formal oral presentations and essays. The expected course outcome is that students are able to write academic reports, participate in discussions and make oral presentations in English on their major topics. Throughout the course, the students are encouraged to explore various major-related topics, to conduct systematic problem analyses, and to collaborate for creative problem solutions. Classroom activities mainly focus on the oral presentation and writing skills, and the preparatory activities of the essay writing. The course requires the students to make three oral presentations and write three essays in English on their major-related topics. Students are required to make a portfolio of their work, to be submitted and assessed. This will be discussed in class. Professional Academic English (PAE) is a required course for all HYU students that develops students’ academic presentation and writing skills using major-related content. Instruction will focus on the concepts and strategies needed in order to both organize and deliver a presentation, along with informal and formal opportunities to practice them. Students will also learn to improve their academic writing through assignments that require the dem | ||||||

1 | 2 | MAT2006 | Number Theory | Core Major | 3-3-0 | |

Introduction to the theory of numbers, including prime numbers, congruences with applications, primitive roots, quadratic residues and quadratic reciprocity. An introduction to some of the ideas and outstanding problems of modern number theory. | ||||||

1 | 2 | MAT2068 | History of Mathematics & History of Mathematics Education | (Compulsory) Requirement in Fundamental Studies | 3-3-0 | |

This course provides a review of the mathematics history from the ancient to the modern time in order for preservice teachers to understand mathematics as historical product of human endeavor. Preservice teachers in this course develop teaching plans based on the investigation of the genetic process of mathematics in history. In the latter part, this course introduces the history of mathematics education from the beginning of the twentieth centuries. Preservice students review the current mathematics curriculum to understand its goals of education and principles for teaching and learning mathematics. | ||||||

1 | 2 | CED1004 | GLOBAL CITIZENSHIP EDUCATION | Compulsory General Studies | 2-2-0 | |

This course aims to explore the major concepts and theories in relation to policy and practice in education in the context of global civil society. Modern society has embraced diverse racial, ethic, cultural groups in response to increased human mobility on a global scale. Attuned with this change, educational discussion around social diversity and global citizenship has been required. The course helps students understand various dimensions of education in global civil society. | ||||||

1 | 2 | EDU1002 | Educational Psychology | Elective for Teacher Certification | 2-2-0 | |

This course is a broad overview of eclectic approach which brings the contributions of behaviorist, cognitive, and humanistic psychologists and educators to bear on the teaching experience. The study topics contain a practical application of the basic principles of infant, child, adolescent development, learning process, memory, motivation, cognition, and affection. The purpose of this course is to provide a detail overview of educational topics and issues. For example, it includes instructional objectives, instructional design, individualized instruction, and educational testing and measurement. | ||||||

1 | 2 | EDU2003 | Sociology of Education | Elective for Teacher Certification | 2-2-0 | |

1 | 2 | EDU2014 | Philosophy & History of Education | Elective for Teacher Certification | 2-2-0 | |

1 | 2 | ELE3037 | Probability & Stochastic Processes | Core Major | 3-3-0 | |

In this course we study some basic concepts and skills in probability and statistics. Topics that will be covered are random variables, distribution functions, expectation, conditional expectation as well as estimation and testing. One of the main purposes of this course is to provide a strong background for theoretical statistics that will be used for applied statistics. | ||||||

1 | 2 | GEN2053 | Calculus 2 | Basic Major | 3-3-0 | |

1 | 2 | MAT2068 | History of Mathematics & History of Mathematics Education | Core Major | 3-3-0 | |

2 | 1 | EDU3020 | Educational Administration & Management | Elective for Teacher Certification | 2-2-0 | |

Roles and functions of school administrations at local and national levels: organization, personnel, and financial aspects of educational administration. | ||||||

2 | 1 | EDU4002 | Counseling & Guidance | Elective for Teacher Certification | 2-2-0 | |

Classroom Management and Student Guidance. This course explores theoretical and practical issues of classroom management and student guidance. This will help student teachers to promote competence in the arrangement of classroom, teaching and guiding students in school. | ||||||

2 | 1 | EDU4019 | Methodology & Technology of Education | Elective for Teacher Certification | 2-2-0 | |

Discusses the given tasks of modern education, and educational technology, and practices the relevent instructional methods and approaches by exploring general contents, such as a course on principles and practice of educational technology, and its status in current education. | ||||||

2 | 1 | MAT2009 | Differential Equations | Extended Major | 3-3-0 | |

This is an introductory course to ordinary differential equations. Differential equations often arise in the process of modelling physical or social phenomena, hence it has enormous number of applications in various fields. It will be studied first-order differential equations, higher-order linear differential equations, initial-value and boundary-value problems, Laplace transform, and other applications. | ||||||

2 | 1 | MAT2023 | Linear Algebra 1 | Core Major | 3-3-0 | |

We study the fundamental concepts of vectors, bases and finit dimensional vector spaces, linear transformations, matrces and linear transformations, the fundamental concepts of matrices, and system of linear equations. | ||||||

2 | 1 | MAT2066 | Analysis 1 | Core Major | 3-3-0 | |

In this course, we first treat the real and complex number system, and the basic topology under the background of advanced calculus. And then, we treat the numberical sequences and series. Finally, we treat the important properties of functions, that is, continuity and differentiability, and the Remann-Stieltjes integrability. The purpose of this course is to make the foundation of analysis. | ||||||

2 | 1 | MAT3024 | Introduction to Geometry | Core Major | 3-3-0 | |

The course is intended to help the students understand the basics of Riemannian geometry. Specifically, after Euclidean geometry and non-Euclidean geometry are introduced with focus on the parallel postulate, both geometries are dealt from the viewpoint of Riemannian geometry. A special emphasis is put on the independence of parallel postulate to introduce the students a basic tool of mathematical logic, which consists the second main purpose of the course. | ||||||

2 | 1 | MAT3056 | Theory and Practice in Mathematics Education | Compulsory for Teacher Certification | 3-3-0 | |

This course is an introductory course to provide an overview of research in mathematics education. This consists of theories diverse research domains in mathematics such as mathematics curriculum, mathematical epistemology, cognitive theories of mathematics learning, theories of mathematics teaching and learning, theories of mathematics assessment. In the curriculum of this department, these areas develop into separate advanced courses. | ||||||

2 | 1 | SYH0002 | GLOBAL LEADERSHIP | (Compulsory) Requirement in Fundamental Studies | 2-2-0 | |

Hanyang Leadership(HELP: Hanyang Essential Leadership Plus) is the leadership development program of Hanyang University that "helps" Hanyang students to be CEOs. The second step of this program, Hanyang Leadership(HELP2) is the core course for Sophomores. In the 21st century, we are moving into a global soceity where all countries are interconnected. Everything is changing at the speed of light. Competition is increasing. Digital Convergence is occurring. Global leaders are the key to success for all organizations. In a global soceity, you can prepare for your future through HELP2. The purpose of HELP is to prepare students to be global leaders for the next generation. HELP2 teaches students: Global Leadership, Global Paradigm, Global Literacy, Global Manners, and Global Mindset. Hanyang university students will be global leaders through HELP2. | ||||||

2 | 1 | EDU2061 | COUNSELING AND GUIDANCE | Elective for Teacher Certification | 2-2-0 | |

This course is intended to promote future teachers' ability to guide and counsel students in the school setting. Topics covered include various counseling theories, and basic counseling and guidance skills. | ||||||

2 | 1 | EDU2066 | THEORY AND PRACTICE IN MULTICULTURAL EDUCATION | Elective for Teacher Certification | 2-2-0 | |

This course examines the major concepts and theories of multicultural education and their implications for educational policy, curricula and methods of learning and instruction in the increasingly complex and diversified society. The social, cultural, political and economic globalization challenges and threatens the very foundation and validity of the national educational system. This course explores the possibility of multicultural education as a new paradigm of education in the 21st century. In addition, students are expected to learn core values and attitudes of multicultural education through teaching practice in multicultural settings. | ||||||

2 | 1 | EDU3020 | Educational Administration & Management | Elective for Teacher Certification | 2-2-0 | |

Roles and functions of school administrations at local and national levels: organization, personnel, and financial aspects of educational administration. | ||||||

2 | 1 | EDU4019 | Methodology & Technology of Education | Elective for Teacher Certification | 2-2-0 | |

Discusses the given tasks of modern education, and educational technology, and practices the relevent instructional methods and approaches by exploring general contents, such as a course on principles and practice of educational technology, and its status in current education. | ||||||

2 | 1 | MAT2009 | Differential Equations | Extended Major | 3-3-0 | |

This is an introductory course to ordinary differential equations. Differential equations often arise in the process of modelling physical or social phenomena, hence it has enormous number of applications in various fields. It will be studied first-order differential equations, higher-order linear differential equations, initial-value and boundary-value problems, Laplace transform, and other applications. | ||||||

2 | 1 | MAT2023 | Linear Algebra 1 | Core Major | 3-3-0 | |

We study the fundamental concepts of vectors, bases and finit dimensional vector spaces, linear transformations, matrces and linear transformations, the fundamental concepts of matrices, and system of linear equations. | ||||||

2 | 1 | MAT2066 | Analysis 1 | Core Major | 3-3-0 | |

In this course, we first treat the real and complex number system, and the basic topology under the background of advanced calculus. And then, we treat the numberical sequences and series. Finally, we treat the important properties of functions, that is, continuity and differentiability, and the Remann-Stieltjes integrability. The purpose of this course is to make the foundation of analysis. | ||||||

2 | 1 | MAT3024 | Introduction to Geometry | Core Major | 3-3-0 | |

The course is intended to help the students understand the basics of Riemannian geometry. Specifically, after Euclidean geometry and non-Euclidean geometry are introduced with focus on the parallel postulate, both geometries are dealt from the viewpoint of Riemannian geometry. A special emphasis is put on the independence of parallel postulate to introduce the students a basic tool of mathematical logic, which consists the second main purpose of the course. | ||||||

2 | 1 | MAT3056 | Theory and Practice in Mathematics Education | Core Major | 3-3-0 | |

본 교과목은 수학교육학을 구성하는 다양한 영역의 대표적인 이론을 개관하는 과정으로서 강의 내용은 수학과 교육과정, 수학인식론, 수학 학습 이론, 수학 교수-학습 이론, 수학과 평가 이론 등을 포함한다. 본 교과를 구성하는 소영역은 이후 교육과정이 제공하는 전공핵심 및 전공심화 과정에서 보다 심도있게 확장되어 다루어진다. | ||||||

2 | 1 | EDU2061 | COUNSELING AND GUIDANCE | Elective for Teacher Certification | 2-2-0 | |

This course is intended to promote future teachers' ability to guide and counsel students in the school setting. Topics covered include various counseling theories, and basic counseling and guidance skills. | ||||||

2 | 1 | EDU2066 | THEORY AND PRACTICE IN MULTICULTURAL EDUCATION | Elective for Teacher Certification | 2-2-0 | |

This course examines the major concepts and theories of multicultural education and their implications for educational policy, curricula and methods of learning and instruction in the increasingly complex and diversified society. The social, cultural, political and economic globalization challenges and threatens the very foundation and validity of the national educational system. This course explores the possibility of multicultural education as a new paradigm of education in the 21st century. In addition, students are expected to learn core values and attitudes of multicultural education through teaching practice in multicultural settings. | ||||||

2 | 1 | EDU3020 | Educational Administration & Management | Elective for Teacher Certification | 2-2-0 | |

Roles and functions of school administrations at local and national levels: organization, personnel, and financial aspects of educational administration. | ||||||

2 | 1 | EDU4019 | Methodology & Technology of Education | Elective for Teacher Certification | 2-2-0 | |

Discusses the given tasks of modern education, and educational technology, and practices the relevent instructional methods and approaches by exploring general contents, such as a course on principles and practice of educational technology, and its status in current education. | ||||||

2 | 1 | ELE3037 | Probability & Stochastic Processes | Core Major | 3-3-0 | |

In this course we study some basic concepts and skills in probability and statistics. Topics that will be covered are random variables, distribution functions, expectation, conditional expectation as well as estimation and testing. One of the main purposes of this course is to provide a strong background for theoretical statistics that will be used for applied statistics. | ||||||

2 | 1 | MAT2023 | Linear Algebra 1 | Core Major | 3-3-0 | |

We study the fundamental concepts of vectors, bases and finit dimensional vector spaces, linear transformations, matrces and linear transformations, the fundamental concepts of matrices, and system of linear equations. | ||||||

2 | 1 | MAT2072 | PRACTICE IN ANALYSIS 1 | Core Major | 1-0-2 | |

This is the first course of introductory mathematical analysis. Among the subjects are the real number system, elementary topology of the real number system, sequences of numbers and functions, continuous functions, etc. | ||||||

2 | 1 | MAT2073 | INTRODUCTION TO ANALYSIS 1 | Core Major | 3-3-0 | |

This is the first course of introductory mathematical analysis. Among the subjects are the real number system, elementary topology of the real number system, sequences of numbers and functions, continuous functions, etc. | ||||||

2 | 1 | MAT3024 | Introduction to Geometry | Core Major | 3-3-0 | |

The course is intended to help the students understand the basics of Riemannian geometry. Specifically, after Euclidean geometry and non-Euclidean geometry are introduced with focus on the parallel postulate, both geometries are dealt from the viewpoint of Riemannian geometry. A special emphasis is put on the independence of parallel postulate to introduce the students a basic tool of mathematical logic, which consists the second main purpose of the course. | ||||||

2 | 1 | MAT3056 | Theory and Practice in Mathematics Education | Core Major | 3-3-0 | |

본 교과목은 수학교육학을 구성하는 다양한 영역의 대표적인 이론을 개관하는 과정으로서 강의 내용은 수학과 교육과정, 수학인식론, 수학 학습 이론, 수학 교수-학습 이론, 수학과 평가 이론 등을 포함한다. 본 교과를 구성하는 소영역은 이후 교육과정이 제공하는 전공핵심 및 전공심화 과정에서 보다 심도있게 확장되어 다루어진다. | ||||||

2 | 1 | EDU2061 | COUNSELING AND GUIDANCE | Elective for Teacher Certification | 2-2-0 | |

This course is intended to promote future teachers' ability to guide and counsel students in the school setting. Topics covered include various counseling theories, and basic counseling and guidance skills. | ||||||

2 | 1 | EDU3020 | Educational Administration & Management | Elective for Teacher Certification | 2-2-0 | |

2 | 1 | EDU4019 | Methodology & Technology of Education | Elective for Teacher Certification | 2-2-0 | |

2 | 1 | MAT2023 | Linear Algebra 1 | Basic Major | 3-3-0 | |

2 | 1 | MAT2073 | INTRODUCTION TO ANALYSIS 1 | Basic Major | 3-3-0 | |

This is the first course of introductory mathematical analysis. Among the subjects are the real number system, elementary topology of the real number system, sequences of numbers and functions, continuous functions, etc. | ||||||

2 | 1 | MAT3024 | Introduction to Geometry | Core Major | 3-3-0 | |

2 | 1 | MAT3056 | Theory and Practice in Mathematics Education | Basic Major | 3-3-0 | |

본 교과목은 수학교육학을 구성하는 다양한 영역의 대표적인 이론을 개관하는 과정으로서 강의 내용은 수학과 교육과정, 수학인식론, 수학 학습 이론, 수학 교수-학습 이론, 수학과 평가 이론 등을 포함한다. 본 교과를 구성하는 소영역은 이후 교육과정이 제공하는 전공핵심 및 전공심화 과정에서 보다 심도있게 확장되어 다루어진다. | ||||||

2 | 1 | MAT4056 | Differential Geometry 1 | Core Major | 3-3-0 | |

This is an introductory course to study curves and surfaces in the Euclidean space, which is aimed for the students who have completed elementary calculus and linear algebra. | ||||||

2 | 2 | MAT2006 | Number Theory | Core Major | 3-3-0 | |

2 | 2 | MAT2024 | Linear Algebra 2 | Extended Major | 3-3-0 | |

Scalar products, orthogonal bases, bilinear maps and matrices, symmetric, Hermite and unitary operator, eigen values and eigen vectors, characteristic polynomial, diagonalization, polynomials and matrices, triangulation of matrices and linear maps. | ||||||

2 | 2 | MAT2067 | Analysis 2 | Core Major | 3-3-0 | |

In this course, we first treat the Riemann-Stieltjes integral which is a generalization of the Riemann integral. And them, we treat the sequences and series of functions. Furthermore, we treat the some special functions, that is, the gamma and beta functions, and the transcendental function, and we also treat the functions of several variables. The purpose of this coures is to make a foundation of analysis. | ||||||

2 | 2 | MAT2069 | Computers in Mathematics Education | Core Major | 3-3-0 | |

In this course, students learns to use teaching software, graphing calculator, and software for inquiry-oriented learning of mathematics from the perspective of modern principles of teaching and learning of mathematics. Students develop practical knowledge of how to integrate IT into effective teaching in mathematics class. | ||||||

2 | 2 | MAT4056 | Differential Geometry 1 | Core Major | 3-3-0 | |

This is an introductory course to the study of curves and surfaces, which is aimed for the students who have completed calculus and linear algebra. The topics to be covered includes curves in the Euclidean space, the Frenet formulas, Frame fields, calculus on surfaces, etc. | ||||||

2 | 2 | EDU2064 | METHODS FOR EDUCATIONAL RESEARCH | Elective for Teacher Certification | 2-2-0 | |

The purpose of this course is to help students understand and analyze educational research by improving their research skills. This course will provide important concepts, logics and skills needed for conducting research. Students will practice the overall process of research, from identifying research problem to report writing. | ||||||

2 | 2 | MAT2024 | Linear Algebra 2 | Extended Major | 3-3-0 | |

Scalar products, orthogonal bases, bilinear maps and matrices, symmetric, Hermite and unitary operator, eigen values and eigen vectors, characteristic polynomial, diagonalization, polynomials and matrices, triangulation of matrices and linear maps. | ||||||

2 | 2 | MAT2067 | Analysis 2 | Core Major | 3-3-0 | |

In this course, we first treat the Riemann-Stieltjes integral which is a generalization of the Riemann integral. And them, we treat the sequences and series of functions. Furthermore, we treat the some special functions, that is, the gamma and beta functions, and the transcendental function, and we also treat the functions of several variables. The purpose of this coures is to make a foundation of analysis. | ||||||

2 | 2 | MAT2069 | Computers in Mathematics Education | Core Major | 3-3-0 | |

In this course, students learns to use teaching software, graphing calculator, and software for inquiry-oriented learning of mathematics from the perspective of modern principles of teaching and learning of mathematics. Students develop practical knowledge of how to integrate IT into effective teaching in mathematics class. | ||||||

2 | 2 | MAT3057 | Instructional Materials & Methods of Teaching Mathematics | Extended Major | 3-3-0 | |

This course presents an analysis of content, materials, and methods of teaching mathematics in the middle school or high school classroom. The goal of this course is to prepare the future teacher of mathematics for facilitation of instruction that meets the needs of all students. | ||||||

2 | 2 | MAT4056 | Differential Geometry 1 | Core Major | 3-3-0 | |

This is an introductory course to study curves and surfaces in the Euclidean space, which is aimed for the students who have completed elementary calculus and linear algebra. | ||||||

2 | 2 | SYH0002 | GLOBAL LEADERSHIP | (Compulsory) Requirement in Fundamental Studies | 2-2-0 | |

Hanyang Leadership(HELP: Hanyang Essential Leadership Plus) is the leadership development program of Hanyang University that "helps" Hanyang students to be CEOs. The second step of this program, Global Leadership(HELP2) is the core course for sophomores. In the 21st century, we are moving into a global society where all countries are interconnected. Everything is changing at the speed of light. Competition is increasing. Digital convergence is occurring. Global leaders are the key to success for all organizations. In the global society, you can prepare for your future through HELP2. The purpose of HELP is to prepare students to be global leaders for the next generation. HELP2 teaches students: Global Leadership, Global Paradigm, Global Literacy, Global Manners and Global Mindset. Hanyang University students will be global leaders through HELP2. | ||||||

2 | 2 | EDU2064 | METHODS FOR EDUCATIONAL RESEARCH | Elective for Teacher Certification | 2-2-0 | |

The purpose of this course is to help students understand and analyze educational research by improving their research skills. This course will provide important concepts, logics and skills needed for conducting research. Students will practice the overall process of research, from identifying research problem to report writing. | ||||||

2 | 2 | EDU3079 | Evaluation of Educational Practices | Elective for Teacher Certification | 2-2-0 | |

2 | 2 | MAT2024 | Linear Algebra 2 | Core Major | 3-3-0 | |

Scalar products, orthogonal bases, bilinear maps and matrices, symmetric, Hermite and unitary operator, eigen values and eigen vectors, characteristic polynomial, diagonalization, polynomials and matrices, triangulation of matrices and linear maps. | ||||||

2 | 2 | MAT2069 | Computers in Mathematics Education | Core Major | 3-3-0 | |

In this course, students learns to use teaching software, graphing calculator, and software for inquiry-oriented learning of mathematics from the perspective of modern principles of teaching and learning of mathematics. Students develop practical knowledge of how to integrate IT into effective teaching in mathematics class. | ||||||

2 | 2 | MAT2074 | DIFFERENTIAL GEOMETRY | Core Major | 3-3-0 | |

This is an introductory course to study curves and surfaces in the Euclidean space, which is aimed for the students who have completed elementary calculus and linear algebra. The topics include curves in the Euclidean space, the Frenet formulas, frame fields, calculus on surfaces, curvatures on surfaces and geodesics, Gauss’ Remarkable Theorem and Gauss-Bonnet Theorem. | ||||||

2 | 2 | MAT2075 | PRACTICE IN ANALYSIS 2 | Core Major | 1-0-2 | |

2 | 2 | MAT2076 | INTRODUCTION TO ANALYSIS 2 | Core Major | 3-3-0 | |

2 | 2 | MAT3057 | Instructional Materials & Methods of Teaching Mathematics | Core Major | 3-3-0 | |

This course presents an analysis of content, materials, and methods of teaching mathematics in the middle school or high school classroom. The goal of this course is to prepare the future teacher of mathematics for facilitation of instruction that meets the needs of all students. | ||||||

2 | 2 | SYH0002 | GLOBAL LEADERSHIP | (Compulsory) Requirement in Fundamental Studies | 2-2-0 | |

Hanyang Leadership(HELP: Hanyang Essential Leadership Plus) is the leadership development program of Hanyang University that "helps" Hanyang students to be CEOs. The second step of this program, Global Leadership(HELP2) is the core course for sophomores. In the 21st century, we are moving into a global society where all countries are interconnected. Everything is changing at the speed of light. Competition is increasing. Digital convergence is occurring. Global leaders are the key to success for all organizations. In the global society, you can prepare for your future through HELP2. The purpose of HELP is to prepare students to be global leaders for the next generation. HELP2 teaches students: Global Leadership, Global Paradigm, Global Literacy, Global Manners and Global Mindset. Hanyang University students will be global leaders through HELP2. | ||||||

2 | 2 | EDU3078 | Curriculum | Elective for Teacher Certification | 2-2-0 | |

2 | 2 | EDU3079 | Evaluation of Educational Practices | Elective for Teacher Certification | 2-2-0 | |

2 | 2 | GEN6032 | PROFESSIONAL ACADEMIC ENGLISH | Compulsory General Studies | 3-3-0 | |

The Professional Academic English for students at Hanyang University focuses on the development of the oral and written communication skills, which are required in the globalized world community. The course aims to help students develop the competencies that are required in their future studies and career: professional knowledge, interpersonal and communicative competences. The course requires the students to develop creative problem solving skills. For this, the students perform various tasks by investigating and analyzing engineering topics as well as developing solutions. The students’ communication and negotiation skills are systematically supported by language skill development such as learning academic forms and structures of the language that are used in formal oral presentations and essays. The expected course outcome is that students are able to write academic reports, participate in discussions and make oral presentations in English on their major topics. Throughout the course, the students are encouraged to explore various major-related topics, to conduct systematic problem analyses, and to collaborate for creative problem solutions. Classroom activities mainly focus on the oral presentation and writing skills, and the preparatory activities of the essay writing. The course requires the students to make three oral presentations and write three essays in English on their major-related topics. Students are required to make a portfolio of their work, to be submitted and assessed. This will be discussed in class. | ||||||

2 | 2 | MAT2024 | Linear Algebra 2 | Core Major | 3-3-0 | |

2 | 2 | MAT2074 | DIFFERENTIAL GEOMETRY | Core Major | 3-3-0 | |

This is an introductory course to study curves and surfaces in the Euclidean space, which is aimed for the students who have completed elementary calculus and linear algebra. The topics include curves in the Euclidean space, the Frenet formulas, frame fields, calculus on surfaces, curvatures on surfaces and geodesics, Gauss’ Remarkable Theorem and Gauss-Bonnet Theorem. | ||||||

2 | 2 | MAT2076 | INTRODUCTION TO ANALYSIS 2 | Core Major | 3-3-0 | |

2 | 2 | MAT3057 | Instructional Materials & Methods of Teaching Mathematics | Basic Major | 3-3-0 | |

This course presents an analysis of content, materials, and methods of teaching mathematics in the middle school or high school classroom. The goal of this course is to prepare the future teacher of mathematics for facilitation of instruction that meets the needs of all students. | ||||||

2 | 2 | MAT4057 | Differential Geometry 2 | Core Major | 3-3-0 | |

This course is a continuation of Differential geometry I, which covers various tools and their applications to study the shape and properties of surfaces in the Euclidean space. | ||||||

2 | 2 | SYH0002 | GLOBAL LEADERSHIP | Compulsory General Studies | 2-2-0 | |

Hanyang Leadership(HELP: Hanyang Essential Leadership Plus) is the leadership development program of Hanyang University that "helps" Hanyang students to be CEOs. The second step of this program, Hanyang Leadership(HELP2) is the core course for Sophomores. In the 21st century, we are moving into a global soceity where all countries are interconnected. Everything is changing at the speed of light. Competition is increasing. Digital Convergence is occurring. Global leaders are the key to success for all organizations. In a global soceity, you can prepare for your future through HELP2. The purpose of HELP is to prepare students to be global leaders for the next generation. HELP2 teaches students: Global Leadership, Global Paradigm, Global Literacy, Global Manners, and Global Mindset. Hanyang university students will be global leaders through HELP2. | ||||||

3 | 1 | ELE3037 | Probability & Stochastic Processes | Core Major | 3-3-0 | |

In this course we study some basic concepts and skills in probability and statistics. Topics that will be covered are random variables, distribution functions, expectation, conditional expectation as well as estimation and testing. One of the main purposes of this course is to provide a strong background for theoretical statistics that will be used for applied statistics. | ||||||

3 | 1 | MAT3001 | Modern Algebra 1 | Core Major | 3-3-0 | |

General theory with emphasis on fundamentals of ring theory. : integral domains, ring of polynomials, and factor rings and ideals; unique factorization domains, euclidean domains, and Gaussian integers and norms. | ||||||

3 | 1 | MAT3025 | Complex Variables 1 | Core Major | 3-3-0 | |

From the study of complex number system, we study analytic functions, power series, linear fractional transformation and other elementary mappings, Cauchy's integral formula, residue theorem, etc. Complex number system is the smallest algebraically closed field containing all the rational numbers, and most functions we studied in high school can be extended to analytic functions defined on the complex numbers. As a result, complex analysis is recognized as one of the core courses in mathematics which has lots of applications. | ||||||

3 | 1 | MAT3057 | Instructional Materials & Methods of Teaching Mathematics | Compulsory for Teacher Certification | 3-3-0 | |

3 | 1 | MAT4057 | Differential Geometry 2 | Extended Major | 3-3-0 | |

This course is a continuation of Differential geometry I. The topics to be covered are isometries, geodesics, Gaussian curvature, Riemann curvature tensor, Gauss-Bonnet theorem, Riemannian geometry, etc. | ||||||

3 | 1 | EDU3041 | Volunteer Activity of Education 1 | Compulsory for Teacher Certification | 2-0-4 | |

3 | 1 | EDU3071 | INTRODUCTION TO SPECIAL EDUCATION | Compulsory for Teacher Certification | 2-2-0 | |

This course place an emphasis on understanding foundation of special education. The goal of this course is to prepare the future teachers to teach and understand the issues involved in physical, mental, and psychological handicapped children, and those with gifted and talented. The preservice teachers should be able to teach students with different needs and be prepared to deal with issues when teaching in the classrooms. | ||||||

3 | 1 | ELE3037 | Probability & Stochastic Processes | Core Major | 3-3-0 | |

3 | 1 | MAT3001 | Modern Algebra 1 | Core Major | 3-3-0 | |

General theory with emphasis on fundamentals of ring theory. : integral domains, ring of polynomials, and factor rings and ideals; unique factorization domains, euclidean domains, and Gaussian integers and norms. | ||||||

3 | 1 | MAT3025 | Complex Variables 1 | Core Major | 3-3-0 | |

From the study of complex number system, we study analytic functions, power series, linear fractional transformation and other elementary mappings, Cauchy's integral formula, residue theorem, etc. Complex number system is the smallest algebraically closed field containing all the rational numbers, and most functions we studied in high school can be extended to analytic functions defined on the complex numbers. As a result, complex analysis is recognized as one of the core courses in mathematics which has lots of applications. | ||||||

3 | 1 | MAT3058 | Mathematics Curriculum and Assessment | Extended Major | 3-3-0 | |

This course presents the current theoretical perspective on the mathematics curriculum and assessment. It also offers an overview of the national curriculum of mathematics since the 1940s and discusses the current issues and methods for instruction and assessment in the secondary school mathematics. | ||||||

3 | 1 | MAT4057 | Differential Geometry 2 | Extended Major | 3-3-0 | |

This course is a continuation of Differential geometry I, which covers various tools and their applications to study the shape and properties of surfaces in the Euclidean space. | ||||||

3 | 1 | EDU3041 | Volunteer Activity of Education 1 | Compulsory for Teacher Certification | 2-0-4 | |

3 | 1 | EDU3071 | INTRODUCTION TO SPECIAL EDUCATION | Compulsory for Teacher Certification | 2-2-0 | |

This course place an emphasis on understanding foundation of special education. The goal of this course is to prepare the future teachers to teach and understand the issues involved in physical, mental, and psychological handicapped children, and those with gifted and talented. The preservice teachers should be able to teach students with different needs and be prepared to deal with issues when teaching in the classrooms. | ||||||

3 | 1 | EDU3080 | THEORY AND PRACTICE OF SCHOOL VIOLENCE PREVENTION | Compulsory for Teacher Certification | 2-2-0 | |

3 | 1 | MAT3001 | Modern Algebra 1 | Core Major | 3-3-0 | |

General theory with emphasis on fundamentals of ring theory. : integral domains, ring of polynomials, and factor rings and ideals; unique factorization domains, euclidean domains, and Gaussian integers and norms. | ||||||

3 | 1 | MAT3004 | Topology 1 | Core Major | 3-3-0 | |

A topology can be considered as a simplest structure on an abstract set which enables us to define a continuous function on the set. A topological space is then a set structured by a topology, which is a natural generalization of the Euclidean space studied in the previous calculus and analysis courses. The contents do not only generalize many of key parts in analysis but provides essential tools to study further mathematical spaces beyond the Euclidean space. | ||||||

3 | 1 | MAT3025 | Complex Variables 1 | Extended Major | 3-3-0 | |

From the study of complex number system, we study analytic functions, power series, linear fractional transformation and other elementary mappings, Cauchy's integral formula, residue theorem, etc. Complex number system is the smallest algebraically closed field containing all the rational numbers, and most functions we studied in high school can be extended to analytic functions defined on the complex numbers. As a result, complex analysis is recognized as one of the core courses in mathematics which has lots of applications. | ||||||

3 | 1 | MAT3058 | Mathematics Curriculum and Assessment | Extended Major | 3-3-0 | |

This course presents the current theoretical perspective on the mathematics curriculum and assessment. It also offers an overview of the national curriculum of mathematics since the 1940s and discusses the current issues and methods for instruction and assessment in the secondary school mathematics. | ||||||

3 | 1 | MAT3062 | PRACTICE IN ABSTRACT ALGEBRA 1 | Core Major | 1-0-2 | |

This is the first course of introductory abstract algebra. In this course, we will introduce the notion groups, subgroups, relations of groups and others. Moreover, we study the structure of groups and their properties. | ||||||

3 | 1 | MAT3063 | PRACTICE IN TOPOLOGY 1 | Core Major | 1-0-2 | |

This is a satellite course designed for the students taking Topology 1. Through trying various problems, we review and study further the main topics of the course Topology 1. | ||||||

3 | 1 | MAT4060 | COMBINATORICS | Extended Major | 3-3-0 | |

Combinatorics is a branch of pure mathematics concerning the study of discrete (and usually finite) objects. It is related to many other areas of mathematics, such as algebra, probability theory, and geometry, as well as to applied subjects in computer science and statistical physics. Main materials are permutation, combination, binomial coefficients, pigeonhole principle, graph theory, generating function, recursive formula, etc. | ||||||

3 | 1 | EDU3041 | Volunteer Activity of Education 1 | Compulsory for Teacher Certification | 2-0-2 | |

3 | 1 | EDU3071 | INTRODUCTION TO SPECIAL EDUCATION | Compulsory for Teacher Certification | 2-2-0 | |

This course place an emphasis on understanding foundation of special education. The goal of this course is to prepare the future teachers to teach and understand the issues involved in physical, mental, and psychological handicapped children, and those with gifted and talented. The preservice teachers should be able to teach students with different needs and be prepared to deal with issues when teaching in the classrooms. | ||||||

3 | 1 | EDU3080 | SCHOOL VIOLENCE PREVENTION & UNDERSTANDING STUDENTS | Compulsory for Teacher Certification | 2-2-0 | |

3 | 1 | MAT3001 | Modern Algebra 1 | Basic Major | 3-3-0 | |

This course deals with general theory with emphasis on fundamentals of groups; definitions and examples of groups, their sub-structures, quotient-structures, and homomorphisms. | ||||||

3 | 1 | MAT3004 | Topology 1 | Basic Major | 3-3-0 | |

A topology can be considered as a simplest structure on an abstract set which enables us to define a continuous function on the set. A topological space is then a set structured by a topology, which is a natural generalization of the Euclidean space studied in the previous calculus and analysis courses. The contents do not only generalize many of key parts in analysis but provides essential tools to study further mathematical spaces beyond the Euclidean space. | ||||||

3 | 1 | MAT3058 | Mathematics Curriculum and Assessment | Extended Major | 3-3-0 | |

This course presents the current theoretical perspective on the mathematics curriculum and assessment. It also offers an overview of the national curriculum of mathematics since the 1940s and discusses the current issues and methods for instruction and assessment in the secondary school mathematics. | ||||||

3 | 1 | MAT3068 | Introduction to Analysis 3 | Core Major | 3-3-0 | |

This is the last course of introductory mathematical analysis, which deals with limits and related theories, such as differentiation, integration, infinite series, etc. In this course we study these topics in a rigorous way. Continuing Introduction to Analysis 1 and 2, differentiable functions and integrable functions will be covered, and then Fourier series will be covered briefly. At the end of the semester we will study differentiation and integration of several variable functions, which will be used in the study of complex analysis. | ||||||

3 | 2 | MAT2020 | Discrete Mathematics | Core Major | 3-3-0 | |

Discrete mathematics is the study of mathematical structures that are fundamentally discrete. Topics covered in this course include logic, sets, permutations, combinations, graphs, tree diagrams, Boolean algebra, formal languages, Turing machine, algorithms, computability and complexity theories, etc. | ||||||

3 | 2 | MAT3002 | Modern Algebra 2 | Core Major | 3-3-0 | |

3 | 2 | MAT3004 | Topology 1 | Core Major | 3-3-0 | |

The course starts from metric spaces moving quickly toward general topological spaces. Some basic properties of topological spaces in connection with continuous maps are studied. Among them are connectedness, compactness and some separation axioms such as the Hausdorff property, regularity and normality. | ||||||

3 | 2 | MAT3026 | Complex Variables 2 | Core Major | 3-3-0 | |

As a continuation of complex analysis I, we study some topics such as harmonic functions, infinite products, entire and meromorphic functions, etc. | ||||||

3 | 2 | MAT3058 | Mathematics Curriculum and Assessment | Extended Major | 3-3-0 | |

3 | 2 | EDU1008 | TEACHING INTERNSHIP 2 | Compulsory for Teacher Certification | 2-0-4 | |

This is a continuation of Teaching Internship 1. As intern teachers at primary or secondary schools, students in this class help teach slow learners, produce teaching materials,evaluate student performances, or provide students with other educational services. In this process, they accumulate experiences in primary or secondary education or administration, and attain a deeper understanding of students they will teach in the future. | ||||||

3 | 2 | EDU3034 | Administrative Work of Teaching Profession | Compulsory for Teacher Certification | 2-2-0 | |

. | ||||||

3 | 2 | EDU3042 | Volunteer Activity of Education 2 | Compulsory for Teacher Certification | 2-0-4 | |

3 | 2 | MAT3002 | Modern Algebra 2 | Core Major | 3-3-0 | |

3 | 2 | MAT3004 | Topology 1 | Core Major | 3-3-0 | |

A topology can be considered as a simplest structure on an abstract set which enables us to define a continuous function on the set. A topological space is then a set structured by a topology, which is a natural generalization of the Euclidean space studied in the previous calculus and analysis courses. The contents do not only generalize many of key parts in analysis but provides essential tools to study further mathematical spaces beyond the Euclidean space. | ||||||

3 | 2 | MAT3026 | Complex Variables 2 | Extended Major | 3-3-0 | |

As a continuation of complex analysis I, we study some topics such as harmonic functions, infinite products, entire and meromorphic functions, etc. | ||||||

3 | 2 | MAT3060 | MULTICULTURAL STUDIES OF MATHEMATICS EDUCATION | Extended Major | 3-3-0 | |

The purpose of this course is to develop preservice teachers' multicultural literacy as active agency for world citizen education in the global age. For the purpose, this course introduces research on ethnomathematics, sociocultural studies of mathematics education, episodes from classrooms of which practice emphasizes voices of participants. | ||||||

3 | 2 | MAT4034 | WRITINGS IN MATHEMATICS EDUCATION | Extended Major | 3-3-0 | |

This course is designed as writing workshop for preservice teachers of mathematics education. Class activity intends to strengthen students' ability to writing with a proper style and to foster their reflection on issues in mathematics education. In this workshop, students' writing will be reviewed to evaluate whether their writing is well shaped and whether their arguments are reasonable. | ||||||

3 | 2 | MAT4060 | COMBINATORICS | Core Major | 3-3-0 | |

Combinatorics is a branch of pure mathematics concerning the study of discrete (and usually finite) objects. It is related to many other areas of mathematics, such as algebra, probability theory, and geometry, as well as to applied subjects in computer science and statistical physics. Main materials are permutation, combination, binomial coefficients, pigeonhole principle, graph theory, generating function, recursive formula, etc. | ||||||

3 | 2 | SYH0003 | BUSINESS LEADERSHIP | (Compulsory) Requirement in Fundamental Studies | 2-2-0 | |

Businesss Leadership (HELP 3) program is a course for juniors, which aims to help students 1) understand principles of capitalism and market economy and learn common sense in relation to economy and finance, 2) learn principles and nature of corporations and how to develop a critical view toward them, and 3) acquire an administrative mind through self-management. | ||||||

3 | 2 | EDU3034 | Administrative Work of Teaching Profession | Compulsory for Teacher Certification | 2-2-0 | |

. | ||||||

3 | 2 | EDU3042 | Volunteer Activity of Education 2 | Compulsory for Teacher Certification | 2-0-4 | |

3 | 2 | GEN5100 | Career Development II (Portfolio and Business model Creation) | (Compulsory) Requirement in Fundamental Studies | 1-1-0 | |

3 | 2 | MAT3002 | Modern Algebra 2 | Extended Major | 3-3-0 | |

3 | 2 | MAT3026 | Complex Variables 2 | Extended Major | 3-3-0 | |

As a continuation of complex analysis I, we study some topics such as harmonic functions, infinite products, entire and meromorphic functions, etc. | ||||||

3 | 2 | MAT3064 | PRACTICE IN ABSTRACT ALGEBRA 2 | Extended Major | 1-0-2 | |

This is the second course of introductory abstract algebra. In this course, we study several basic properties of rings and fields. Also, we study extension field theory, and it is a starting point to develop the Galois theory. | ||||||

3 | 2 | MAT3065 | PRACTICE IN TOPOLOGY 2 | Extended Major | 1-0-2 | |

This is a satellite course designed for the students taking Topology 2. Through trying various problems, we review and study further the main topics of the course Topology 2. | ||||||

3 | 2 | MAT4004 | Topology 2 | Extended Major | 3-3-0 | |

This course is a continuation of Topology I, containing further theory in topological spaces and their continuous maps. | ||||||

3 | 2 | MAT4034 | WRITINGS IN MATHEMATICS EDUCATION | Extended Major | 3-3-0 | |

This course is designed as writing workshop for preservice teachers of mathematics education. Class activity intends to strengthen students' ability to writing with a proper style and to foster their reflection on issues in mathematics education. In this workshop, students' writing will be reviewed to evaluate whether their writing is well shaped and whether their arguments are reasonable. | ||||||

3 | 2 | SYH0003 | ENTREPRENEURSHIP AND BUSINESS LEADERSHIP | (Compulsory) Requirement in Fundamental Studies | 2-2-0 | |

Businesss Leadership (HELP 3) program is a course for juniors, which aims to help students 1) understand principles of capitalism and market economy and learn common sense in relation to economy and finance, 2) learn principles and nature of corporations and how to develop a critical view toward them, and 3) acquire an administrative mind through self-management. | ||||||

3 | 2 | EDU3034 | Administrative Work of Teaching Profession | Compulsory for Teacher Certification | 2-2-0 | |

. | ||||||

3 | 2 | EDU3042 | Volunteer Activity of Education 2 | Compulsory for Teacher Certification | 2-0-2 | |

3 | 2 | GEN5100 | Career Development II (Portfolio and Business model Creation) | Compulsory General Studies | 1-1-0 | |

3 | 2 | MAT3002 | Modern Algebra 2 | Core Major | 3-3-0 | |

This course follows "Modern Algebra 1" and deals with general theory with emphasis on fundamentals of ring theory. : integral domains, ring of polynomials, and factor rings and ideals; unique factorization domains, euclidean domains, and Gaussian integers and norms. | ||||||

3 | 2 | MAT3025 | Complex Variables 1 | Extended Major | 3-3-0 | |

3 | 2 | MAT4004 | Topology 2 | Core Major | 3-3-0 | |

This course is a continuation of Topology I, containing further theory in topological spaces and their continuous maps. | ||||||

3 | 2 | MAT4034 | WRITINGS IN MATHEMATICS EDUCATION | Basic Major | 3-3-0 | |

This course is designed as writing workshop for preservice teachers of mathematics education. Class activity intends to strengthen students' ability to writing with a proper style and to foster their reflection on issues in mathematics education. In this workshop, students' writing will be reviewed to evaluate whether their writing is well shaped and whether their arguments are reasonable. | ||||||

3 | 2 | SYH0003 | ENTREPRENEURSHIP AND BUSINESS LEADERSHIP | Compulsory General Studies | 2-2-0 | |

Businesss Leadership (HELP 3) program is a course for juniors, which aims to help students 1) understand principles of capitalism and market economy and learn common sense in relation to economy and finance, 2) learn principles and nature of corporations and how to develop a critical view toward them, and 3) acquire an administrative mind through self-management. | ||||||

4 | 1 | EDU4003 | Student Teaching | Compulsory for Teacher Certification | 2-0-4 | |

The course is designed for observation and participation of in-school-teaching as student teachers. | ||||||

4 | 1 | MAT3051 | Numerical Analysis 1 | Extended Major | 3-3-0 | |

Theory and practice of computational procedures including approximation of functions by interpolating polynomials, numerical differentiation and integration, and solution of ordinary differential equations including both initial value and boundary value problems. Computer applications and techniques. | ||||||

4 | 1 | MAT3060 | MULTICULTURAL STUDIES OF MATHEMATICS EDUCATION | Extended Major | 3-3-0 | |

The purpose of this course is to develop preservice teachers' multicultural literacy as active agency for world citizen education in the global age. For the purpose, this course introduces research on ethnomathematics, sociocultural studies of mathematics education, episodes from classrooms of which practice emphasizes voices of participants. | ||||||

4 | 1 | MAT4004 | Topology 2 | Extended Major | 3-3-0 | |

The course deals with surfaces from topological view point. The notion of orientation is illustrated by introducing the Mobius band and the Klein bottle. The Euler number is introduced and used as a window to the modern landscape of topology and geometry. Fundamental group is presented with the mathematical rigor intact while homology groups are explained in a more areal manner with some applications such as generalized Jordan curve theorem. | ||||||

4 | 1 | MAT4033 | INTRODUCTION TO REAL ANALYSIS | Extended Major | 3-3-0 | |

Lebesgue integral and measure on the real line, absolutely continuous functions, functions of bounded variations, space of integrable functions, product of measures and Fubini theorem are discussed. | ||||||

4 | 1 | MAT4034 | WRITINGS IN MATHEMATICS EDUCATION | Extended Major | 3-3-0 | |

4 | 1 | MAT4063 | Topics in Algebra | Extended Major | 3-3-0 | |

In this course we study some advanced topics in algebra, based on former courses such as number theory, linear Algebra, and algebra I, II. Topics may vary with semesters. | ||||||

4 | 1 | EDU4003 | Student Teaching | Compulsory for Teacher Certification | 2-0-4 | |

The course is designed for observation and participation of in-school-teaching as student teachers. | ||||||

4 | 1 | MAT3051 | Numerical Analysis 1 | Extended Major | 3-3-0 | |

Theory and practice of computational procedures including approximation of functions by interpolating polynomials, numerical differentiation and integration, and solution of ordinary differential equations including both initial value and boundary value problems. Computer applications and techniques. | ||||||

4 | 1 | MAT4004 | Topology 2 | Extended Major | 3-3-0 | |

This course is a continuation of Topology I, containing further theory in topological spaces and their continuous maps. | ||||||

4 | 1 | MAT4031 | PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS | Extended Major | 3-3-0 | |

We introduce basic theories of partial differential equations. First order quasilinear PDE, local existence, uniqueness, Cauchy-Kovalevsky theorem, Laplace equation, maximum principle, Harnack's inequality, Hilbert space methods, variational principle are discussed. Furthermore, we will study some applications in physics. | ||||||

4 | 1 | MAT4033 | INTRODUCTION TO REAL ANALYSIS | Extended Major | 3-3-0 | |

Lebesgue integral and measure on the real line, absolutely continuous functions, functions of bounded variations, space of integrable functions, product of measures and Fubini theorem are discussed. | ||||||

4 | 1 | MAT4063 | Topics in Algebra | Extended Major | 3-3-0 | |

In this course we study some advanced topics in algebra, based on former courses such as number theory, linear Algebra, and algebra I, II. Topics may vary with semesters. | ||||||

4 | 1 | SYH0004 | SELF-LEADERSHIP | (Compulsory) Requirement in Fundamental Studies | 2-2-0 | |

HELP(Hanyang Essential Leadership Plus) is a key program of Hanyang University for educating students who want to be future CEOs. Self Leadership(HELP4) is a leadership development online program for seniors. This program aims to foster leaders based on an analysis of an individual's strengths and weaknesses and complete the Leadership Road Map. Learning contents of Self Leardership(HELP4) incluse Self-Assessment, Self-Management and Skills to apply in Social Practices. Learning objectives of each module are as follows; Self-Assessment: Grade value of the work to do and decide priority, understand importance and meaning of manners and improve manners in social life, and understand attitudes associated with success and put them into practice. Skills to Apply in Social Practice: Define followership, understand the principles of imagination and creativity. This 16 week length course had been developed by the high-tech teaching system and online course development methods. | ||||||

4 | 1 | EDU4003 | Student Teaching | Compulsory for Teacher Certification | 2-0-4 | |

The course is designed for observation and participation of in-school-teaching as student teachers. | ||||||

4 | 1 | MAT3051 | Numerical Analysis 1 | Extended Major | 3-3-0 | |

Theory and practice of computational procedures including approximation of functions by interpolating polynomials, numerical differentiation and integration, and solution of ordinary differential equations including both initial value and boundary value problems. Computer applications and techniques. | ||||||

4 | 1 | MAT3060 | MULTICULTURAL STUDIES OF MATHEMATICS EDUCATION | Extended Major | 3-3-0 | |

The purpose of this course is to develop preservice teachers' multicultural literacy as active agency for world citizen education in the global age. For the purpose, this course introduces research on ethnomathematics, sociocultural studies of mathematics education, episodes from classrooms of which practice emphasizes voices of participants. | ||||||

4 | 1 | MAT4063 | Topics in Algebra | Extended Major | 3-3-0 | |

In this course we study some advanced topics in algebra, based on former courses such as number theory, linear Algebra, and algebra I, II. Topics may vary with semesters. | ||||||

4 | 1 | MAT4066 | Topics in Differential Geometry and Topology | Extended Major | 3-3-0 | |

We review and study further the main topics we have learned in the courses of topology and differential geometry with various problems. | ||||||

4 | 1 | SYH0004 | SELF-LEADERSHIP | (Compulsory) Requirement in Fundamental Studies | 2-2-0 | |

SELP Leadership(HELP4) program will give students chances to look back on themselves before they enter society and to analyze their advantages and weak points to complete the road map for leadership development. This class trains prepared leaders based on analysis of personal strengths and weaknesses and helps them to complete the Leadership Road Map. | ||||||

4 | 1 | EDU4003 | Student Teaching | Compulsory for Teacher Certification | 2-0-2 | |

The course is designed for observation and participation of in-school-teaching as student teachers. | ||||||

4 | 1 | MAT3026 | Complex Variables 2 | Extended Major | 3-3-0 | |

4 | 1 | MAT3060 | MULTICULTURAL STUDIES OF MATHEMATICS EDUCATION | Extended Major | 3-3-0 | |

4 | 1 | MAT4063 | Topics in Algebra | Extended Major | 3-3-0 | |

4 | 1 | SYH0004 | SELF-LEADERSHIP | Compulsory General Studies | 2-2-0 | |

HELP(Hanyang Essential Leadership Plus) is a key program of Hanyang University for educating students who want to be future CEOs. Self Leadership(HELP4) is a leadership development online program for seniors. This program aims to foster leaders based on an analysis of an individual's strengths and weaknesses and complete the Leadership Road Map. Learning contents of Self Leardership(HELP4) incluse Self-Assessment, Self-Management and Skills to apply in Social Practices. Learning objectives of each module are as follows; Self-Assessment: Grade value of the work to do and decide priority, understand importance and meaning of manners and improve manners in social life, and understand attitudes associated with success and put them into practice. Skills to Apply in Social Practice: Define followership, understand the principles of imagination and creativity. This 16 week length course had been developed by the high-tech teaching system and online course development methods. | ||||||

4 | 2 | MAT3052 | Numerical Analysis 2 | Extended Major | 3-3-0 | |

Computational procedures including direct and iterative solution of linear and nonlinear equations, matrices and eigenvalue calculations, function approximation by least squares, smoothing functions, and minimax approximations. | ||||||

4 | 2 | MAT4060 | COMBINATORICS | Extended Major | 3-3-0 | |

This course provides the mathematical foundation to the areas requiring discrete mathematics for research, especially it is very useful for computer algorithm. Permutations and combinatorics, binomial coefficients, pigeonhole principle, graph theory, recurrence relation, inclusion and exclusion, Polya's theorem will be discussed. | ||||||

4 | 2 | MAT4061 | Topics on Mathematics Education | Extended Major | 3-3-0 | |

This course presents various points of view about complex and timely topics in mathematics education. | ||||||

4 | 2 | MAT4065 | Topics in Analysis | Extended Major | 3-3-0 | |

In this course we study some advanced topics in real and complex analysis, based on former courses such as analysis I, II and complex Analysis I, II. Topics may vary with semesters. | ||||||

4 | 2 | MAT4066 | Topics in Differential Geometry and Topology | Extended Major | 3-3-0 | |

In this course we study some advanced topics in differential geometry and/or topology, based on former courses such as differential deometry I, II, topology and algebraic topology. Topics may vary with semesters. | ||||||

4 | 2 | MAT4073 | PROBABILITY THEORY | Extended Major | 3-3-0 | |

In this course we develop the basics of measure theory from a probability perspective, for example, this course includes basic concepts of probability, conditional probability and the central limit theorem. In particular, we will deal with probability spaces, independence of random variables and algebraic laws of independent identically distributed random variables. | ||||||

4 | 2 | MAT3052 | Numerical Analysis 2 | Extended Major | 3-3-0 | |

Computational procedures including direct and iterative solution of linear and nonlinear equations, matrices and eigenvalue calculations, function approximation by least squares, smoothing functions, and minimax approximations. | ||||||

4 | 2 | MAT4061 | Topics on Mathematics Education | Extended Major | 3-3-0 | |

This course presents various points of view about complex and timely topics in mathematics education. | ||||||

4 | 2 | MAT4065 | Topics in Analysis | Extended Major | 3-3-0 | |

In this course we study some advanced topics in real and complex analysis, based on former courses such as analysis I, II and complex Analysis I, II. Topics may vary with semesters. | ||||||

4 | 2 | MAT4066 | Topics in Differential Geometry and Topology | Extended Major | 3-3-0 | |

We review and study further the main topics we have learned in the courses of topology and differential geometry with various problems. | ||||||

4 | 2 | MAT4073 | PROBABILITY THEORY | Extended Major | 3-3-0 | |

In this course we develop the basics of measure theory from a probability perspective, for example, this course includes basic concepts of probability, conditional probability and the central limit theorem. In particular, we will deal with probability spaces, independence of random variables and algebraic laws of independent identically distributed random variables. | ||||||

4 | 2 | MAT3052 | Numerical Analysis 2 | Extended Major | 3-3-0 | |

Computational procedures including direct and iterative solution of linear and nonlinear equations, matrices and eigenvalue calculations, function approximation by least squares, smoothing functions, and minimax approximations. | ||||||

4 | 2 | MAT4061 | Topics on Mathematics Education | Extended Major | 3-3-0 | |

This course presents various points of view about complex and timely topics in mathematics education. | ||||||

4 | 2 | MAT4065 | Topics in Analysis | Extended Major | 3-3-0 | |

In this course we study some advanced topics in real and complex analysis, based on former courses such as analysis I, II and complex Analysis I, II. Topics may vary with semesters. | ||||||

4 | 2 | MAT4073 | PROBABILITY THEORY | Extended Major | 3-3-0 | |

In this course we develop the basics of measure theory from a probability perspective, for example, this course includes basic concepts of probability, conditional probability and the central limit theorem. In particular, we will deal with probability spaces, independence of random variables and algebraic laws of independent identically distributed random variables. | ||||||

4 | 2 | MAT4060 | COMBINATORICS | Extended Major | 3-3-0 | |

Combinatorics is a branch of pure mathematics concerning the study of discrete (and usually finite) objects. It is related to many other areas of mathematics, such as algebra, probability theory, and geometry, as well as to applied subjects in computer science and statistical physics. Main materials are permutation, combination, binomial coefficients, pigeonhole principle, graph theory, generating function, recursive formula, etc. |