Linear Algebra
Math 2250, Fall 2015


Table of Contents


Quizzes and solutions:

Quizzes:   1   2   3   4   3   6   7   Test 1   Test 2   8   9   10   Test 3   11   12  
Solutions:   1   2   3   4   5   6   7   Test 1   Test 2   8   9   10   Test 3   11   12  

Here are some abstract vector space problems and their solutions for help in preparing for Test 3.

Class:


Professor:


Requirements and grades:

The secret to doing well is to attend class and to read the book. You should read each section before we talk about it in class, then again after class, before doing the homework for the section. If you have any trouble understanding it, read it several times, first quickly, for an overall idea what the section is about, then in detail, working out the examples the book uses to make sure you know why each statement is true. Only after this should you start the homework. You may be pleasantly surprised how much easier the homework is with this sort of preparation. You will certainly understand the material and retain more of it, if you study in this way.

Special attention will be paid to the quality of the writing you turn in. Mathematics consists of logical relations between ideas, not just calculations. Understanding and explaining the logical relationships will make your work easier to do and easier to read.

There will be weekly quizzes each Wednesday, of about 10 minutes duration, which will help you assess your understanding of the material. The best 10 of these (out of 13) will be counted toward your final grade. The quiz and a solution to it will be posted here after the quiz has been given.

Grades will be computed as follows:


Test 1 20 %
Test 2 20 %
Test 3 20 %
Quizzes 10 %
Final 30 %

Naturally, all work you turn in should be your own. The University has strict policies on intellectual honesty.

Schedule:

The first class is Wednesday, September 2, 2015 and the last class is Monday, December 14, 2015.

Here is a schedule of the exams and the material we will cover.

Test 1 Wednesday, September 30
Test 2 Wednesday, October 28
Test 3 Monday, November 23
Final Exam      Tuesday, December 22, 8:00 - 10:30 AM

Each test will cover the material we have done up to that point, and will be preceded by a review day.

Topics:

Chapter 1      Linear Equations, row reduction, solutions, linear transformations.
Chapter 2 Matrices, dimension and rank.
Chapter 3 Determinants.
Chapter 4 Vector Spaces, subspaces, linear independence, spanning, bases, linear transformations revisited.
Chapter 5 Eigenvalues and eigenvectors
and, as time permits, as much as we can of
Chapter 6 Orthogonality, Gram-Schmidt and least squares.
Chapter 7 Symmetric matrices and quadratic forms.


Assignments

(A link to the web page containing the list of assignments.)