2024년도 2학기 선형대수학 (MATH400-01) 강의계획서

1. 수업정보

학수번호 MATH400 분반 01 학점 3.00
이수구분 전공선택 강좌유형 강의실 강좌 선수과목
포스테키안 핵심역량
강의시간 월, 수 / 15:30 ~ 16:45 / 수리과학관 강의실 [206호] 성적취득 구분 G

2. 강의교수 정보

Valentin Buciumas 이름 Valentin Buciumas 학과(전공) 수학과
이메일 주소 buciumas@postech.ac.kr Homepage
연구실 221 전화 054-279-2329
Office Hours Wed 2:00-3:20pm and by appointment

3. 강의목표

This course will introduce advanced topics in Linear Algebra.
Linear algebra is central to almost all areas of mathematics (pure and applied). In the first part of the class we will introduce basic ideas in Linear Algebra in a rigorous fashion. In the second part we will focus on more advanced topics in pure and applied Linear Algebra (see Course Plan for details).

4. 강의선수/수강필수사항

Applied Linear Algebra (Math 203) or equivalent knowledge is a must.
Algebra (Math 301) is highly recommended.
Prior exposure to programming (python) is helpful, but not needed.
There are *no* prerequisites from physics.

5. 성적평가

Homework 40
Midterm 30
Final 30

6. 강의교재

도서명 저자명 출판사 출판년도 ISBN
Linear Algebra and Geometry Alexei Kostrikin and Yuri Manin 0000 90 5699 049 7

7. 참고문헌 및 자료

Textbook and instructor's notes.
More references will be provided during the class.

8. 강의진도계획

The plan is to cover the first two chapters in the main reference in the first half of the class.
In the second part of the class, depending on time, we will cover more advanced topics, including:
-Multilinear Algebra and applications to Quantum Mechanics (chapter 4 of the reference)
-Applications of Linear Algebra (example: the pagerank algorithm, classification of handwritten digits, etc.): some programming will be required in this part of the course for homework(for example using python)
-Advanced topics in category theory and TQFT (example: braided monoidal categories, Reshetikhin-Turaev knot invariants, 2d TQFT's, etc.)

9. 수업운영

in person lectures

10. 학습법 소개 및 기타사항

11. 장애학생에 대한 학습지원 사항

- 수강 관련: 문자 통역(청각), 교과목 보조(발달), 노트필기(전 유형) 등

- 시험 관련: 시험시간 연장(필요시 전 유형), 시험지 확대 복사(시각) 등

- 기타 추가 요청사항 발생 시 장애학생지원센터(279-2434)로 요청