Math 115A - Linear Algebra
Instructor and Office Hours
Who: Aaron Royer
Where: MS 5634
When: Tuesday 10:30-12:00, Wednesday 9:30-11
email: aroyer [at] math [dot] ucla [dot] edu
Where: MS 5138
When: MWF 8-9
Teaching Assistant and Office Hours
Who: Adam Lott
Where: MS 3905
When: Wednesday 2-3, Thursday 9-10
Linear Algebra, Custom UCLA 4th Ed., by Friedberg, Insel and Spence. The custom edition includes Chapters 2 and 3 from Mathematically Thinking: Problem-Solving and Proofs, 2nd Ed., by D'Angelo and West.
Material and Schedule
This course has two main goals. One is to rigorously establish the basics of linear algebra over a field. The other is to introduce students to the concept and practice of rigorous mathematical proof more broadly. We'll basically follow the schedule found here, though I may cover some topics differently or in a slightly different order. You can find my up-to-date lecture notes here.
Homework will be assigned and collected on a weekly basis. Assignments will include problems from the textbook, as well as bespoke exercises crafted just for you by me. I strongly encourage you to work together to solve the problems, but every student is responsible for turning in their own work. Each problem set will have a couple of problems I expect everybody to turn in, and a long list of other problems from which you will pick a couple. More challenging problems will be decorated with a red star, and will typically not be things I test on. I anticipate a total of 3-5 graded problems each week. It is a very good idea to at least attempt all of the problems, since I expect some of them to be fairly good models for quiz questions. You can find the assignments in conveninent pdf format below.
Homework 1, due 1/18 at the beginning of class.
Homework 2, due 1/25
Homework 3, due 2/1. Solution to 3A
Homework 4, due 2/8
Homework 5, due 2/15
Homework 6, due 2/22
Homework 7, due 3/1
In lieu of midterms, there will be four 30-minute quizzes which will occur on Thursday of weeks 3,5,7,and 9. You will not be allowed any notes or calculators, but I will provide a few practice quizzes below to give you a feel for the types of questions you may see.
Sample Quiz 1
Sample Quiz 1 with Solutions
Sample Quiz 3
Sample Quiz 3 with Solutions
The final exam is on Thursday, March 22nd at 8am. You MUST take the final to pass the class, and there are NO MAKE-UPS.
Your final grade will be based on your performance on homeworks, quizzes, and the final exam. They are weighted as follows a
This totals 115%, so in order to obtain a meaningful number your lowest 15% will be dropped. This can be homework, any of the four quizzes, or the final can be re-weighted to 25%. I will always drop whatever will make your final grade the highest.
- 15% homework
- 60% quizzes (15% each)
- 40% final exam
Cheating is an extremely dumb idea. If you cheat, you could easily ruin your college career. So, don't do it.