Syllabus – 線性代數 I

Instructor and TAs

• Instructor: 林得勝
  Office: SA242 ext. 56422
  Email: [e-mail]
  Office Hours: By appointment
• Teaching Assistant: 蔡宛玲
  Email: [e-mail]
  Office Hours: (SC207) Wed. 1800-2000
• Teaching Assistant: 楊家睿
  Email: [e-mail]
  Office Hours: (SC207) Mon. 1800-2000

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Course information

Textbook:

• Introduction to Linear Algebra, International Edition by Gilbert Strang.

Grading Policy

The final grade in this course will be determined as follows:

1. In-class quizzes (20% = 4 + 4 + 3 + 3 + 3 + 3 + 0)
   • Wednesday at 11:10AM-11:20AM
2. Assignments/presentations
   • Assignments should be submitted on E3
     • Three assignments
     • 4 points for each one one
   • Board presentations
     • Two presentations (in-class or on E3)
     • At most one for each exam period
     • 4 points for each one
     • Points not obtained will be directly added to highest exam point.
3. Three exams (60% = 25+25+10)

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Course calander:

週一		週三
9/11	課程介紹, Ch.1	9/13	Ch.1.2, Ch.2.1-2.3, Quiz 1
9/18	Ch.2.4, Shur complement	9/20	Ch.2.5 Sherman-Morrison formula
9/25	Ch.2.6, 2.7, solve linear system with decomposition	9/27	Ch.3.1 Quiz 2
10/2		10/4	Ch.3.1, 3.2, 3.3
10/9	No lecture (Holiday)	10/11	Ch.3.4, 3.5, 3.6 Quiz 3
10/16		10/18	Exam 1
10/23	Exam 1 review	10/25	Ch.4.1, 4.2
10/30	Ch.4.3	11/1	Quiz 4 Ch.4.4, quiz 4#2
11/6	Ch.4.4, 5.1	11/8	Ch.5.1,5.2, 5.3, Determinant
11/13	Ch.6.1	11/15	Quiz 5, trace and det, Ch.6.1
11/20	Exam 2	11/22	Exam 2 review
11/27	Ch.6.2, 8.3, Markov matrix	11/29	Quiz 6, 2x2 矩陣的分類, n次方
12/4	Ch.6.4, 6.5, 最小平方法	12/6	No lecture (Sports day)
12/11	Ch.6.7, SVD demo	12/13	最小平方法 2
12/18	Ch.6.7, 7.3, PCA, PCA-python	12/20	Quiz 7
12/25	Exam 3	12/27	Exam 3 review

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Extra materials

• Wiki - Rank factorization
• Video: Gilbert Strang 2020 - The Column Space of a Matrix
• 2020 exam 1 - Solution
• 2020 exam 2 - Solution
• 2020 exam 3 - Solution

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Exams

• exam 1
• exam 2
• exam 3

Assignments

• assignment 1
• assignment 2
• assignment 3

Exercises

Quiz 7

• 7.3 - # 1, 5, 10, 11, 15
• 6.7 - # 1, 2, 3, 4, 9, 12, 13
• 6.5 - # 1, 2, 6, 7, 20, 22, 24
• 6.4 - # 4, 5, 6, 11, 16, 17, 22, 25, 30

Quiz 6

• 8.3 - # 2, 3, 9, 10
• 6.2 - # 10, 18, 19, 23, 25, 31, 33, 35
• 6.1 - # 2, 3, 6, 11, 19, 26, 27, 30, 32

Quiz 5

• 4.3 - # 12, 16, 21, 22, 23
• 4.4 - # 4, 10, 15, 18, 24, 34
• 5.1 - # 3, 10, 27, 28, 29
• 5.2 - # 9, 12
• 5.3 - # 5, 7, 20

Quiz 4

• 4.1 - # 3, 6, 7, 9, 17, 18, 22, 29
• 4.2 - # 10, 17, 19, 22, 27, 30, 32, 34
• 3.4 - # 23, 34
• 3.5 - # 1, 7, 8, 16, 21, 24, 38, 39
• 3.6 - # 3, 4, 6, 13, 14, 21, 23, 25

Quiz 3

• 2.6 - # 13
• 2.7 - # 7, 17, 19
• 3.1 - # 1, 2, 4, 10, 17, 18, 24
• 3.2 - # 25, 35, 36
• 3.3 - # 10, 17, 18, 19, 22, 24

Quiz 2

• 2.1 - # 15, 17, 29, 35
• 2.2 - # 12, 21, 24, 25
• 2.3 - # 1, 9, 10, 18, 28, 31
• 2.4 - # 7, 11, 14, 23, 24, 27
• 2.5 - # 5, 7, 8, 15, 18, 29, 33, 42

Quiz 1

• 1.1 - # 2, 5, 7, 9, 18, 19, 27, 28, 29
• 1.2 - # 19, 26, 27
• 1.3 - # 10, 14
• 2.6 - # 11, 13, 14, 19, 20
• 2.7 - # 7, 13, 16, 17, 20