Course information
- Syllabus
- See also the MATH 131 discussion webpage
Lecture meeting
- Mondays, Tuesdays, Wednesdays, Thursdays 12:10 p.m. - 1:30 p.m. at CHASS Interdisciplinary South 2136
Office hours
- Mondays, Tuesdays, Wednesdays, Thursdays 11:10 a.m. - 12:00 p.m. at Skye Hall 277
Homework
The numbers refer to exercises in the textbook Linear Algebra Done Right (third edition) by Sheldon Axler.- Homework 1 - due July 1 - Solution
- 1.A: 4, 5, 6, 9, 10, 11, 12, 13, 15, 16
- 1.B: 1, 2, 3, 4
- 1.C: 1, 3, 4, 6, 10, 11, 12, 19, 24
- Homework 2 - due July 8 - Solution
- 2.A: 1, 3, 5, 6, 7, 8, 9, 10, 11
- 2.B: 3, 4, 6, 8
- 2.C: 1, 2, 3, 11, 12, 13, 15, 16, 17
- Homework 3 - due July 15 - Solution
- 3.A: 1, 2, 3, 4, 7, 8, 9, 11, 13
- 3.B: 9, 13, 14, 15, 17, 18, 19, 20, 21, 29
- Homework 4 - due July 22 - Solution
- 3.C: 10, 11, 13, 14, 15
- 3.D: 1, 9, 10, 11, 13, 14, 16, 20
- Homework 5 - due July 27 - Solution
- 3.E: 1, 7, 12, 13, 17, 18, 20
- 3.F: 3, 4, 6, 7, 8, 15, 32
Examinations
- Group exam 1 - on June 27 - Solution
- Group exam 2 - on July 3 - Solution
- Group exam 3 - on July 11 - Solution
- Group exam 4 - on July 18 - Solution
- Group exam 5 - on July 25 - Solution
- Final exam - on July 27 - Solution
Lecture notes
The lecture notes posted here are written during our class meetings by the enrolled students who gave me their permissions to share them in exchange for some extra credit. The notes of Sections 1.A and 1.B reflected the lectures of Professor Ali Pakzad, who substituted our first two class meetings.- Section 1.A - Edward Choi, Zhuoyuan Li, Alyssa Nguyen, Samantha Ramirez, Jessica Situ, Yongxian Wu
- Axler video: R^n and C^n - watch before June 24
- Section 1.B - Edward Choi, Zhuoyuan Li, Alyssa Nguyen, Samantha Ramirez, Jessica Situ, Yongxian Wu
- Axler video: Definition of Vector Space - watch before June 25
- Section 1.C - Edward Choi, Zhuoyuan Li, Alyssa Nguyen, Samantha Ramirez, Jessica Situ, Yongxian Wu
- Axler video: Subspaces - watch before June 26
- Section 2.A - Edward Choi, Zhuoyuan Li, Kristi Mock, Alyssa Nguyen, Samantha Ramirez, Jessica Situ, Yongxian Wu
- Axler video: Span and Linear Independence - watch before July 1
- Section 2.B - Edward Choi, Zhuoyuan Li, Kristi Mock, Alyssa Nguyen, Samantha Ramirez, Jessica Situ, Yongxian Wu
- Axler video: Bases - watch before July 2
- Section 2.C - Edward Choi, Zhuoyuan Li, Kristi Mock, Alyssa Nguyen, Samantha Ramirez, Jessica Situ, Yongxian Wu
- Axler video: Dimension - watch before July 3
- Section 3.A - Edward Choi, Zhuoyuan Li, Kristi Mock, Alyssa Nguyen, Samantha Ramirez, Jessica Situ, Yongxian Wu
- Axler video: Vector Space of Linear Maps - watch before July 8
- Section 3.B - Edward Choi, Zhuoyuan Li, Kristi Mock, Alyssa Nguyen, Samantha Ramirez, Jessica Situ, Yongxian Wu
- Axler video: Null Spaces and Ranges - watch before July 9
- Section 3.C - Edward Choi, Zhuoyuan Li, Kristi Mock, Alyssa Nguyen, Samantha Ramirez, Jessica Situ, Yongxian Wu
- Axler video: The Matrix of a Linear Map - watch before July 10
- Axler video: Matrix Multiplication - watch before July 15
- Section 3.D - Edward Choi, Zhuoyuan Li, Kristi Mock, Alyssa Nguyen, Samantha Ramirez, Jessica Situ, Yongxian Wu
- Axler video: Invertibility and Isomorphic Vector Spaces - watch before July 16
- Section 3.E - Han Chen, Edward Choi, Zhuoyuan Li, Kristi Mock, Alyssa Nguyen, Samantha Ramirez, Jessica Situ, Yongxian Wu
- Axler video: Products and Vector Spaces - watch before July 17
- Axler video: Quotients of Vector Spaces - watch before July 22
- Section 3.F - Han Chen, Edward Choi, Zhuoyuan Li, Kristi Mock, Alyssa Nguyen, Samantha Ramirez, Jessica Situ, Yongxian Wu
- Axler video: Dual Bases and Dual Maps - watch before July 23
- Axler video: Annihilators and Matrix of a Dual Map - watch before July 24
- Section 5.A (extra credit lecture) - Han Chen, Edward Choi, Ramiro Jarquin, Zhuoyuan Li, Kristi Mock, Alyssa Nguyen, Jessica Situ, Yongxian Wu
- Axler video: Invariant Subspaces - watch before July 16
- Axler video: Existence of Eigenvalues - watch before July 16
Evaluations