Math 115A - Linear Algebra

Winter 2018

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.


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
Homework 8, due 3/8
Homework 9 will not be handed in, but if there is popular demand I will post solutions to a few problems.


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
Sample Quiz 4
Sample Quiz 4 with Solutions

Final Exam

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.

Grading Policy

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.

Academic Integrity

Cheating is an extremely dumb idea. If you cheat, you could easily ruin your college career. So, don't do it.