Things:

Math/CS 103: Linear Algebra

Course Information:

Professor: Padraic Bartlett.
Class Time/Location: MWF 11:30-12:50pm, Bldg. 494, Rm. 160B.
Office Hours: Tuesdays and Thursdays, 1-2pm, South Hall 6516.
Email: padraic at math dot ucsb dot edu.
Syllabus: linked here.

Lecture Notes:

Day 1: The art of argument.
Day 2: Vector spaces; span.
Day 3: Linear dependence and independence.
Day 4: Dimension and basis.
Day 5: Polynomials and vector spaces.
Day 6: The dot product.
Day 7: Properties of linear maps.
Day 8: More properties of linear maps.
Day 9: Understanding the null space.
Day 10: Injection, surjection, and linear maps.
Day 11: Matrix composition.
Day 12: Elementary matrices.
Day 13: Volume.
Day 14: The determinant.

Homework:

Set 1: Seas and space. Due Monday, September 30.
Set 2: Submarines and sabotage. Due Wednesday, October 2.
Set 3: Exploring the seas. Due Friday, October 4.
Set 4: Calculators! Due Monday, October 7.
Set 5: The signal and the noise. Due Friday, October 11.
Set 6: Linear maps. Due Monday, October 14.
Set 7: Properties of linear maps. Due Friday, October 18.
Set 8: Color space. Due Monday, October 21.
Set 9: The geometry of linear maps. Due Friday, October 25.
Set 10: Injection, surjection, and bijection. Due Monday, October 28.
Set 11: More on injections and surjections. Due Friday, November 1.
Set 12: Matrices and linear maps. Due Monday, November 4.
Set 13: More matrices. Due Friday, November 8.
Set 14: Isomorphism and matrices. Due Wednesday, November 13.
Set 15: Elementary matrices. Due Monday, November 18.
Set 16: Orthogonality. Due Friday, November 22.
Set 17: Volume and the determinant. Due Monday, November 25.
Set 18: How to calculate the determinant. Due Monday, December 2.