Things:

Math 108a: An Introduction to Linear Algebra

Course Information:

Professor: Padraic Bartlett.
Class Time/Location: MWF 9-9:50am, Phelps 3505.
Office Hours: Tuesdays and Thursdays, 2-3pm, South Hall 6516.
Email: padraic at math dot ucsb dot edu.
Syllabus: linked here.

Lecture Notes:

Day 1: Fields, informally.
Day 2: Fields, formally.
Day 3: Vector spaces.
Day 4: Subspaces.
Day 5: Span and linear independence.
Day 6: Basis and dimension.
Day 7: The dot product.
Day 8: Linear maps.
Day 9: Range and null space, part 1/2.
Day 10: Range and null space, part 2/2.
Day 11: Understanding the null space.
Day 12: Injection, surjection, and linear maps.
Day 13: More examples for injection and surjection.
Day 14: The rank-nullity theorem.
Day 15: Matrices.
Day 16: Elementary matrices.
Day 17: Elementary matrices (again.)
Day 18: Volume.
Day 19: Determinant.
Day 20: Final review.

Homework:

Week 1: Fields. Due Thursday, October 3.
Week 2: Vector spaces. Due Thursday, October 10.
Week 3: Properties of vector spaces. Due Thursday, October 17.
Week 4: Linear maps. Due Thursday, October 24.
Week 5: Injection, surjection, and linear maps. Not due; this is a practice HW.
Week 6: Linear maps: odds and ends. Due Friday, November 8.
Week 7: Matrices. Due Friday, November 15.
Week 8: More Matrices. Due Friday, November 15.
Week 9: No HW, because Thanksgiving! The last set will be due next week by Friday.
Week 10: Volume and the determinant. Due Friday, December 6.

Practice tests:

Midterm: Practice midterm! Not due; this is a practice midterm.
Final: Practice final! Not due; this is a practice final.