TEACHING

MATH 115A - LINEAR ALGEBRA - Fall 2019 - Lecture 4 and 5.

DO NOT TAKE THIS CLASS IF YOU HAVE A TIME CONFLICT WITH ANY OF THE EXAMS!

Schedule & TAs

MWF 11-11:50 (Lec. 4) and 12-12:50 (Lec. 5) MS 5147.
Office hours: MWF 10:15-10:45am and 1:30-2:15pm in MS 6129.
TAs: Bjoern Bringmann (Lec. 4) and Riley Thornton (Lec. 5).

Textbook

S. Friedberg, et al, Linear Algebra, 5th Ed., Pearson. Either through "Inclusive Access" or hard copy.

Calendar and outline

Week 1: §§ 1.2-1.4: Vector spaces and subspaces. Linear combinations.
Week 2: §§ 1.5-1.6: Linear (in)dependence, bases and dimension.
Week 3: §§ 2.1-2.2: Linear transformations and matrices. Review.
Week 4: (Monday October 21: Midterm 1) § 2.3: Composition and matrix multiplication.
Week 5: §§ 2.4-2.5: Invertibility and change of coordinates.
Week 6: § 4.4 & §§ 5.1-5.2: Recalling determinants. Eigenvalues and eigenvectors. Diagonalizability.
Week 7: (Monday November 11: holiday) § 5.2: Diagonalizability. Review.
Week 8: (Monday November 18: Midterm 2) § 6.1: Inner products and norms.
Week 9: (Friday November 29: holiday) §§ 6.2-6.3: Gram-Schmidt. Adjoint operators.
Week 10: §§ 6.4: Normal and self-adjoint operators. Review.

Testing

Weekly homework due every Friday in class - see details below.
1st midterm: Monday, October 21, in class.
2nd midterm: Monday, November 18, in class.
Final exam: Saturday, December 7, 11:30 am - 2:30 pm, in MS 5147 (Lec.4) and MS 5117 (Lec.5).

Missed it?

If you miss an exam or a homework deadline, don't worry! The system is flexible: You can miss two homework without consequences. Also, if you miss one midterm, your final will simply weigh more. Things happen - I understand. However, instead of giving make-up exams, I build in some flexibility in the grading scheme. So, you don't need to come and tell me what happened because there will be NO MAKE-UP AT ALL, under no circumstances, neither for homework, nor for the midterms, nor for the final exam.

Grading

Homework will simply record regularity of your work, independently of the quality. So, do not waste your time copying other people's work! Returning 8 out of the 10 weekly homework gives you full HW score.
Midterms count for 15% each. However, if you do better on the final than on one of the midterms, your lowest midterm grade is dropped and the final counts 75% instead of 60%.
In short, your overall final grade will be the best of the following two variants:

• 10% homework + 30% for both midterms + 60% final.
• 10% homework + 15% best midterm + 75% final.

Regrades on midterms must be requested upon reception of your copy, no later than two weeks after the exam date. After this time, no requests for corrections will be honored.

Homework

The numbers refer to problems in the corresponding section of the textbook.

Week	Due date	Exercises in textbook
1	Fri, October 4	§ 1.2: Ex: 6, 7, 9, 15, 16, 19, 20, 22; § 1.3: Ex: 6, 8, 19, 24, 29, 30, 31.
2	Fri, October 11	§ 1.4: Ex: 2, 3, 8, 10, 12, 14, 15, 16; § 1.5: Ex: 3, 6, 7, 13, 17, 18, 19.
3	Fri, October 18	§ 1.6: Ex: 4, 9, 11, 14, 15, 17, 22, 29, 32; § 2.1: Ex: 3, 5, 11, 13, 14, 17, 18, 21, 24, 26, 31, 36.
4	Fri, October 25	§ 2.2: Ex: 2, 3, 5, 8, 9, 10, 11, 12, 13, 14, 15, 16.
5	Fri, November 1	§ 2.3: Ex: 3, 4, 11, 12, 13, 16, 17; § 2.4: Ex: 2, 3, 4, 7, 9, 13, 14, 15, 17, 19, 23.
6	Fri, November 8	§ 2.5: Ex: 3, 5, 6, 8, 9, 10, 11, 13, 14; § 4.4: Ex: 1, 3, 4, 5, 6.
7	Fri, November 15	§ 5.1: Ex: 3, 4, 6, 7, 9, 12, 13, 22, 23; § 5.2: Ex: 3, 8, 9, 10, 11, 12, 13, 14, 16.
8	Fri, November 22	§ 6.1: Ex: 2, 8, 9, 10, 12, 14, 15, 16, 18, 21.
9	Mon, December 2	§ 6.2: Ex: 2, 6, 7, 8, 10, 11, 12, 13, 14, 16, 17, 18; § 6.3: Ex: 7, 8, 9, 10, 11, 12, 13, 14, 15.
10	Fri, December 6	§ 6.4: Ex: 3, 4, 6, 7, 9, 11, 13, 17, 21.

Here is a list of past courses.