** Instructor :** Connor Ahlbach ahlbach@uw.edu

Office Hours: Monday 3:30-5, Friday 3:30-5 in Guggenheim 204 (after class)

Lectures: MWF 2:30 - 3:20 in Guggenheim 204

Link to Syllabus, which includes Schedule.

Link to Webassign, for Homework. You should be able to buy access and login from here.

Textbook:

- Linear Systems
- Echelon and Reduced Row Echelon Form
- Vectors
- Linear System Word Problems
- Linear Maps
- Span
- Kernel
- Proof Frameworks
- Conditions for 1-1 and Onto
- Operations with Linear Maps
- Inverses
- Subspaces
- Bases
- Intersections and Sums of Subspaces
- Complements and Projection Maps
- Restricting Linear Maps
- Rank Nullity Theorem
- Determinants
- Eigenvalues and Eigenvectors
- Changing Coordinates
- Matrix with respect to a Basis
- Coordinate Independent Notions,
- Orthogonality,
- Orthogonal Complements and Projections
- Orthogonal Linear Maps
- Adjoints

Problem Rating Meanings:

- (1): Straightforward and requires little new material.
- (2): Relatively simple and requires a decent understanding of new material.
- (3): Not especially complicated and requires a solid understanding of new material.
- (4): Difficult, usually requires some cleverness or is complicated, requires very good understanding of new material.
- (5): Very Difficult, requires cleverness, an excellent understanding of new material, and is usually a complicated argument.

Proof Homeworks: The versions below are tentative and may be edited until a week ahead of their due date - See schedule in Syllabus. Please ask if you need an extension.

Additional Homeworks: These will not be graded, but I recommend you do them, since the material on them is fair game for exams.

Bonus Problems: I considered these problems too difficult for exams or Proof Homeworks, but you can try them if you want. Each correct solution is worth +4% to your final grade. When you think you have a correct solution, either write it up and turn it into me, or you may present it orally as well. I will not help you aside from pointing out why your attempt is wrong if it is incorrect. Do not use any outside material unless the problem explicitly states otherwise. Good Luck!

**Midterm 1:**7/12, In class**Midterm 2:**8/2, In class**Final Exam:**8/18, In Class

- Practice Midterm 1, Solutions
- Midterm 1, Solutions
- Practice Midterm 2, Solutions
- Midterm 2, Solutions
- Practice Final, Solutions

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