**MATH 115A Linear Algebra, Lecture 2**
**Instructor:** Christian Haesemeyer
**Office: MS 6304**
**phone:** 310-825-3364
**Office hours:**M:9-10 W:2-3 F:10-11

**Teaching Assistant:**Eamonn Tweedy

**Time and Location:**
MWF 11am, MS 5138 (Lectures)*and* TR 11am, MS 5118 (Discussion section).

**Syllabus and assignments:**
Week 1: Fields, vector spaces, subspaces, linear (in)dependence. Sections 1.2 through 1.5 of the textbook.
Homework 1, to be returned in class Friday January 14th: 1.2: 12, 13, 18. 1.3: 8, 12, 13, 19. 1.5: 3, 10, 14.
Week 2: Bases and dimension. Section 1.6 of the textbook.
Homework 2, to be returned in class Friday January 21st: 1.6: 2, 4, 7, 8, 11, 12, 21, 23.
Week 3: Linear transformations. Sections 2.1 and 2.2 of the textbook.
Homework 3, to be returned in class Friday January 28th: 2.1: 2, 5, 6, 10, 11, 13, 14.
Week 4: Matrix representation, composition of linear transformations, isomorphisms. Sections 2.2 through 2.4 of the textbook.
Homework 4, to be returned in class Friday February 4th: 2.1: 28. 2.2.: 2, 3, 4, 9, 10, 13, 16.
Week 5: Change of coordinate, determinants. Sections 2.5 and 4.4. of the textbook.
Homework 5, to be returned in class Friday February 11th: 2.3.: 3, 9, 11. 2.4: 3, 7, 15. 2.5: 2, 8, 9.
Week 6: Eigenvalues and Eigenvectors. Section 5.1. of the textbook.
Homework 6, to be returned in class Friday February 18th: 5.1.: 2, 4 (a)-(e), 9, 10, 15. 5.2.: 7, 8.
Week 7: Diagonalization. Section 5.2. of the textbook.
Homework 7, to be returned in class Friday February 25th: 5.1.: 3, 8, 22, 23. 5.2.: 12, 18.
Week 8: Inner products, norms, orthogonalization. Sections 6.1 and 6.2 of the textbook.
Weeks 9 and 10: Adjoint operators, normal and self-adjoint operators. Review. Sections 6.3. and 6.4. of the textbook.
Homework 8, to be returned in class Friday March 11th: 6.1.: 5, 11, 12, 18. 6.2.: 2 (a) and (c), 4, 6, 13, 17
**Midterm Exams:** Will be on January 25th and March 1st. (Note these are Tuesdays.)
Exam 1 solutions
Review sheet. We will have a **review session** on Monday March 14th, 4-5pm in MS 5147.
**Final Exam:** Thursday, March 17, 8:00-11:00 in MS 5138.

**Literature:**
We are going to use: Friedberg et al. *Linear Algebra*, 4th (Custom UCLA) Edition.

**Grading Policy:**

There will be 9 homework assignments, to be handed in in class on Fridays. Late homework will not be accepted; the lowest score will be dropped. There will also be two midterm exams, and a final exam. Make-up exams will not be given. The total score for the course will be based on the better of the following two: homework will account for 15%, each of the midterms for 20% and the final will contribute the remaining 45%. Or, homework 15%, the better of the two midterms 25% and the final 60%. This class will use the myUCLA gradebook facility.

Requests for a regrading will only be considered within 14 calendar days of the due date of the original assignment, and no later than the day before the final. All such requests *must* be directed to the instructor; the TA is not allowed to make changes to grades.