Instructor: Katalin Berlow
Email: [first name] at berkeley dot edu
Time: 2:00pm - 4:00pm, Monday - Thursday
Room: Dwinelle 109
Office Hours: M 11am-12pm Evans 748, Tu 4pm-5pm Evans 1057, W 4pm-5pm Evans 891
This is a proof-based continuation of linear algebra intended for students with prior exposure to matrix methods. Topics include vector spaces, linear transformations, eigenvalues, diagonalization, inner products, Jordan Normal Form, and applications. The course is divided into four parts:
| Week | Monday | Tuesday | Wednesday | Thursday |
|---|---|---|---|---|
| Week 1 | Intro + Motivation | Proofs | Vector Spaces | Subspaces, Products |
| Week 2 | Linear Independence | Span and Bases | Dimension | Problem Session |
| Week 3 | [Midterm 1], Lin. Transf. | Null and Range | Rank Nullity | Invertibility |
| Week 4 | Eigenstuff | Eigenstuff 2 | Eigenstuff 3 | Problem Session |
| Week 5 | Midterm 2, Eigenspaces | Diagonalization 1 | Diagonalization 2 | Inner Product Spaces |
| Week 6 | Orthonormal Bases | Othogonal Complement | Adjoints | Problem Session |
| Week 7 | Midterm 3, Jordan Form | Jordan Form 2 | Applications | Applications |
| Week 8 | Review | Review | Problem Session | Final Exam |
| Number | Problems | Due Date | Solutions |
|---|---|---|---|
| 1 | [Problems] | June 26 | [Solutions] |
| 2 | [Problems] | June 30 | [Solutions] |
| 3 | [Problems] | July 3 | [Solutions] |
| 4 | [Problems] | July 10 | [Solutions] |
| 5 | [Problems] | July 14 | [Solutions] |
| 6 | [Problems] | July 17 | [Solutions] |
| 7 | [Problems] | July 24 | [Solutions] |
| 8 | [Problems] | July 28 | [Solutions] |
| 9 | [Problems] | July 31 | [Solutions] |
| 10 | [Problems] | August 7 | [Solutions] |
| 11 | [Problems] | August 11 | [Solutions] |
| 12 | [Problems] | August 14 | [Solutions] |
Please refer to the syllabus for details on homework policies, makeup work, and accommodations. All course updates will be posted on the course website.