This is the course website for Math 115AH in Winter 2019.
Please note that we are using Campuswire for this class (see below).
Jens Eberhardt (firstname@math.ucla.edu)
TBA
MS 5118,Wed 45, (Math115AH students only)
THORNTON, RILEY
Please check back here as office hours and locations may change.
The lectures take place Monday, Wednesday and Friday at 10:00 to 10:50PM in MS 5118. Time and date of the discussions can be found here.
In the following table you can see the preliminary lecture schedule and find your weekly problems list and homework.
#  Date  Content  Homework 

1  M, 1/7  Fields  Week 1 Homework: See Notes. 
2  W, 1/9  Vector Spaces, Subspaces  
3  F, 1/11  Quotient spaces  
4  M, 1/14  Linear Equations/Combinations, Linear Dependence  Week 2 Homework: (PDF) 
5  W, 1/16  Bases and Dimension  
6  F, 1/18  Homomorphisms, Kernel, Image  
M, 1/21  MLK holiday  Week 3 Homework: (PDF) 

7  W, 1/23  Invertibility and Isomorphisms  
8  F, 1/25  The Homomorphism Theorem  
9  M, 1/28  Matrix of a Linear Transformation  Week 4 Homework: (PDF) 
10  W, 1/30  Composition of Linear Transformations  
11  F, 2/1  Midterm #1  
12  M, 2/4  Space of Homomorphisms, Some Commutative Diagrams  Week 5 Homework: (PDF) 
13  W, 2/6  Change of Coordinate Matrix  
14  F, 2/8  Review on Determinants, Eigenvalues and Eigenvectors  
15  M, 2/11  Diagonalizability  Week 6 Homework: (PDF) 
16  W, 2/13  Diagonalizability  
17  F, 2/15  Inner Products and Norms  
18  M, 2/18  Presidents' Day Holiday  Week 7 
19  W, 2/20  
20  F, 2/22  
21  M, 2/25  Orthogonal Complements/ Projection  Week 8 Homework: (PDF) 
22  W, 2/27  Fourier Theory and the Heat Equation  
23  F, 3/1  Midterm #2  
24  M, 3/4  GramSchmidt  Week 9 Homework: (PDF) 
25  W, 3/6  Adjoint of an Operator  
26  F, 3/8  Spectral Theorem  
27  M, 3/11  Bilinear Forms  Week 10 Homework: (PDF) 
28  W, 3/13  Sylvester's Law of Inertia  
29  F, 3/15  Review 
Hint: If you are using your phone, turning the screen horizontal makes the table easier to read.
S. Friedberg, et al, Linear Algebra, Custom UCLA 4th Ed., Prentice Hall.
Owning a copy of the textbook will not be required, but can be useful for exercises.
Hint: You might also try to buy used and older versions of Linear Algebra by Friedberg and Mathematical Thinking by D’Angelo and West. In my understanding Linear Algebra, Custom UCLA 4th Edition is just a combination of those two books.
Solving problems on your own is one of the most important parts of this course. It will teach you how to apply your new knowledge and also be the best preparation for the midterms and final exam.
I encourage you to discuss the problems in teams but write up the solutions on your own. Simply copying your homework will not prepare you for the exams at all and is also not allowed (i.e. considered academic misconduct/cheating).
Hint: You can use Campuswire to find teammates!
Every week you will be able to find a list of problems in the lecture schedule. They will be covering the material of the lectures and similar to exam questions.
Certain problems will be your homework which you will have to hand in during the lecture every Friday. Your homework has to be submitted in a form obeying the following rules:
First and last name
Student ID
Date, Homework number
TAs name
Number of discussion session
There will be two midterms and a final exam. Apart from the exceptions mentioned below, only writing equipment will be allowed in exams. Exams must be written in pen.
Cheatsheets: For each exam, students may bring a cheat sheet. Each student must prepare their own handwritten cheat sheet. For the midterms, the cheat sheet may consist of one side of half a standard (A4 or letter) sheet of paper (i.e. A5 or letter folded in half lengthways). For the final, the cheat sheet may consist of one side of a standard sheet of paper. Cheatsheets that do not meet these requirements will be confiscated at the beginning of the exam.
Calculators: You may use a nonprogrammable, nongraphing calculator in exams. Calculators not meeting this specification will be confiscated.
Study: Here I will post some practice exams which might aid your study.
The midterm scores will be adjusted to account for any difference in difficulty. Your final grade will be calculated using the maximum of the following two grading schemes. Your letter grade will then be determined by your rank in the class. Unless something very out of the ordinary occurs I expect to give approximately 2030% A’s and 5565% A’s and B’s combined.
Option 1:
45% (combined midterm scores) +
55% (final exam score)
= raw final grade
Option 2:
35% (best midterm score) +
65% (final exam score)
= raw final grade
Effectively, this will mean that unless you score worse in the final than both midterms, your lowest midterm score will be dropped. This also means missing one midterm probably will not impact your grade in any serious way.
Mathematical questions should be asked on Campuswire. Click here to sign up, then search for the course. You can either do so anonymously or with you full name. You are also encouraged to answer or take part in the discussion of the questions of others!
Obviously homework questions and solutions should not be posted on Campuswire. Offences will be treated as academic dishonesty/cheating.
You can also visit me and the TAs in our office hours.
Administrative questions should in the first instance be directed to your TA. If your TA cannot resolve your query then you should contact me.
If you need to email me, the subject line must include the string math31
. If not, then there is a good chance your email will slip through the cracks and remain unanswered.
You can get additional help from the Student Math Center, where undergraduate math majors as well as math graduate students will be able to help you.