LINEAR ALGEBRA

 Jin Ho Kwak  and Sungpyo Hong

Pohang University of Science and Technology

1장 강의실

교재 : Linear Algebra, by Jin Ho Kwak and Sungpyo Hong, Birhauser, 1997

강의대상 : 2학년 이상, 선형대수학입문(1학기) 에서 C+ 이상, 그 외는 교수의 허가를 얻은 학생

신분증 제출 또는 사진 찍고 ... (출석부 Sample)

출석, 참여, 발표, 퀴즈, 중간고사, 과제, 기말고사, 프로젝트 에 근거하여 평가

과제는 이메일로 미리 제출 후 프린트 아웃을 icampus에서 제출, 아닌 경우 약간 감점, 나는 참고 자료를 그곳에 올리겠음  (참고사이트)

기타 면담 시간 :    ,  요일     시

문의 :    교수연구실 또는   대학원생연구실

진도 : Jordan Canonical Form 까지, 일부 가능한 부분은 cyber 로 강의

References :

       1. Linear Algebra and Its Applications, by Gilbert Strang, Harcourt Brace Jovanovich, (1988).

       2. 선형대수학과 응용, 이상구외, 경문사 1997.

       3. Matrix Analysis, Horn and Johnson, Cambridge Univ. Press.

평가 :

2 번의 10 - 15 minutes Quiz with 1 -2 problems

Exams and Grading policy :

Mid term	April
Final	June

평가기준  (강의 계획서 참조)

출석	과제	중간	기말	평소학습(Q&A)	기타	합계
10%	10%	30%	35%	10%	5%	100%

Remark :

     1)  There will be no make up exams unless permitted ahead of time.

     2)  Missing an exam without permission means grade F.

     3)  4 times absence means grade F.

     4) This course may be the one in which students will encounter with mathematical abstractions. Therefore, it is important for the students have to preview the material ahead of each class, and to have enough time to think.

강의 계획 - 학생의 수준과 선형대수입문 추후 수정 가능

The tentative schedule of the lectures and H.W. assignment : (과제물에 대한 계획)

기본적으로는 1장-3장-4장-2장-중간고사-2-5(7)장-6장-8장-기말종합고사의 순서로 진행함

(Prob.은 icampus에서, Exercies 문제는 각 장 끝난 후 다음 주 수업전에 교탁에 제출)

(아래 지정한 문제는 매년 바뀔 수 있음)

1st week   (March 4 - 6)

1.2 - 3		Problems: 1.2(2), 1.4(1), 1.6, 1.7.
1.4		Problems: 1.9, 1.10, 1.11(1).
1.5	(Optional)
1.6		Problems: 1.14, 1.15.
1.7		Problems: 1.17, 1.18, 1.19, 1.20(B), 1.21.
1.8		Problems: 1.24, 1.25.
1.9	(Optional)
1.10	Exercises:  1.4(2), 1.6, 1.8, 1.10, 1.17, 1.20, 1.24, 1.29.

2nd week   (March 18 -  20)

3.1		Problems: 3.1
3.2		Problems: 3.3, 3.4, 3.5, 3.6, 3.7.
3.3		Problems: 3.9, 3.11, 3.12, 3.13
3.4		Problems: 3.15, 3.16, 3.17, 3.18.

3rd week   (March 22 - 24)     

3.5		Problems: 3.19(1), 3.20, 3.21.
3.6		Problems: 3.24, 3.25.
3.7		Problems: 3.26(3).
3.9	(Optional)
3.10	Exercises:  3.2, 3.3, 3.4, 3.8, 3.11, 3.15, 3.18(2), 3.21, 3.23.

(퀴즈 1: 1, 3장)  and  4th week   (March 25 -  27)   

4.1		Problems: 4.1, 4.2, 4.3, 4.4, 4.5.
4.2,	4.3(Optional)	Problems:  4.6, 4.7, 4.8, 4.9, 4.10.
4.4	4.5(Optional)	Problems: 4.12(2), 4.13.
4.6 - 7	4.8(Optional)	Problems: 4.18, 4.19, 4.21.
4.9	Exercises:  4.2, 4.4, 4.7(1), 4.10, 4.11, 4.18, 4.20, 4.23, 4.25, 4.29.

5th week   (April 1 - 3) 

2.1		Problems: 2.1(1), 2.2(2).
2.2-3		Problems: 2.6, 2.7, 2.9, 2.10.
2.4		Problems: 2.11, 2.12, 2.13, 2.15.

6th  and 7th week  (April 8 - 10 ,15 - 17, Review and Mid term: 1-4장)

2.5-6	(Optional)	Problems: 2.18, 2.20
2.7	Exercises:    2.4, 2.5, 2.7, 2.13, 2.15, 2.16, 2.22.

8th and week   (April 22 - 24) (or Review and Mid term) Sample Exam.

5.1-2

Problems: 5.3, 5.4.

5.3

Problems: 5.5, 5.6.

9th week   (Aplil 29 - May 1)

5.4		Problems: 5.7, 5.8, 5.9, 5.10, 5.11.
5.5		Problems: 5.12, 5.15.
5.6		Problems: 5.17, 5.18(1), 5.19, 5.20(1).
5.7		Problems: 5.21, 5.22, 5.23(1), 5.24,

10th week  (May 6 -  8) 

5.8		Problems: 5.24, 5.25.
5.9	(Optional)	Problems: 5.26.
5.10	(Optional)	Problems: 5.27, 5.29.
5.11	Exercises:  5.2, 5.6, 5.7, 5.14, 5.16, 5.18, 5.24(2), 5.26.
6.1		Problems: 6.1, 6.2, 6.4, 6.5, 6.6.
6.2		Problems: 6.7(1), 6.8, 6.9.

11th week   (May 13 -  15)    (May 16 - 17, 대동제-야외 수업:응용)

6.3	(Optional)	Problems: 6.11, 6.12.
6.4	(Optional)
6.5		Problems: 6.13, 6.15.
6.6		Problems:  6.17, 6.18.

12th week  (May 20 -  May 22)   (Quiz 2 또는 발표)

6.7		Problems: 6.20(2).
6.8	(Optional)	Problems: 6.22, 6.23.
6.9	Exercises:    6.2, 6.4, 6.6, 6.8, 6.10, 6.11, 6.13, 6.15, 6.16, 6.17, 6.20, 6.21, 6.25, 6.27(2), 6.28, 6.29.
7.1		Problems: 7.3, 7.4(1).
7.2		Problems: 7.7, 7.8, 7.9, 7.12, 7.13, 7.14, 7.15, 7.16.

13th week  (May 27 -  May 28)

7.3		Problems: 7.18.
7.4		Problems: 7.19(1), 7.19(5), 7.21.
7.5		Problems: 7.23, 7.24(4).
7.6	Exercises:   7.4, 7.6, 7.9, 7.10(1),  7.11(1), 7.13, 7.14, 7.18, 7.20, 7.21, 7.22.

14th week   (June 3 - 5, JCF)

9.1		Problems: 9.1.
9.2		Problems: 9.2(1), 9.3(1).
9.3	(Optional)	Problems: 9.4(2), 9.5.
9.4		Problems: 9.6, 9.7, 9.8.
9.5	Exercises:   9.3, 9.7, 9.8, 9.10(3), 9.11, 9.12.

15th week  (June 10 - 12, Quadratic Forms or Project 발표)

8.1-2	(Optional)	Problems: 8.1(2), 8.2(2).
8.3	(Optional)	Problems: 8.3(1).
8.4	(Optional)	Problems: 8.4, 8.5.
8.5-7	(Optional)	Problems: 8.6, 8.10, 8.13, 8.15.
8.8	Exercises:   8.3, 8.4, 8.7, 8.13, 8.19.

16 th week : Review and Project 발표 Etc

         Final Exam (1-8장: 종합시험) :  Sample Exam.