Math 115A - Linear Algebra

Spring 2018

Instructor and Office Hours

Who: Aaron Royer
Where: MS 5634
When: TW 10:30-12:00
email: aroyer [at] math [dot] ucla [dot] edu


Where: MS 5118
When: MWF 4-5p

Teaching Assistant and Office Hours

Who: Bar Roytman
Where: MS 2361
When: M 3-4p and W 2-3p


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 will be doing things in a somewhat different order than the book, and I will keep a link to my updated lecture notes here:

M115A Lecture Notes

These are a work in progress, but I intend to stay at least a few lectures ahead with them. Also, these are NOT a substitute for going to lectures. I will probably say some important things in lecture that don't make it into the notes, and vice-versa.


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 at the beginning of class on 4/12
Homework 2, due 4/19
Homework 3, due 4/26
Homework 4, due 5/3
Homework 5, due 5/10
Homework 6, due 5/17
Homework 7, due 5/24
Homework 8, due 5/31
Homework 9, optional, due 6/6


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 Solutions
Sapmle Quiz 2
Sample Quiz 2 Solutions
Sample Quiz 3
Sample Quiz 3 Solutions
Sample Quiz 4

Additionally, here are solutions to the quizzes that have already happened.

Quiz 1 Solutions
Quiz 2 Solutions
Quiz 3 Solutions
Quiz 4 Solutions

Final Exam

The final exam is on Monday, June 11 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.