# Math 333 Linear Algebra - Fall 2015

 Instructor Textbook Elementary Linear Algebra 11th ed., Howard Anton | (124-182\$ at Bookstore) Office Hours Schedule (Wil 2-236) Classroom TR 12:15-1:30pm (Wil 1-115)

The course percent is determined from Homework, a Midterm and a Final respectively worth 200, 100 and 100 points. The course percentage is then:

% = (M+F+HW)/4

The final is not comprehensive. Both the midterm and final are in-class open note exams 1hr and 15min long. Homework and exam details will be posted below later.

Final Exam: Monday, Dec 7 2:00-3:50pm in regular classroom

Grades: Grades are posted in MYINFO as of Wed 12/9 10am.

## Schedule

Section   Topic Notes

1.1 Review Linear Systems M333_1
1.2 Review Gaussian Elimination M333_2
1.3 Review Matrix operations M333_3
1.4 Review Matrix inverses and algebraic properties
1.5 New Elementary Matrices
1.7 Review Diagonal, Triangular, Symmetric Matrices
1.8 New Matrix Transformations

2.1 Review Calculating Determinants
2.3 Review Properties of Determinants

3.1 Review Euclidean Vectors in R^n M333_4
3.2 Review Dot products, Norms in R^n
3.3 Review Orthogonality and Projections in R^n

4.1 New Real Vector Spaces M333_5
Vector_Space_Defn
4.2 New Subspaces M333_6
4.3 New Linear Independence
4.4 New Coordinates and Basis M333_7
4.5 New Dimension
4.6 New Change of Basis M333_7b
4.7 Review Rank, Nullity of Matrix Spaces
4.8 Review Orthogonal Complements and Fundamental Matrices M333_8
4.9 New Basic Matrix transformations M333_9
4.10 New Properties of Matrix Transformations

6.1 New Inner Products on Vector Spaces M333_10
6.2 New Orthogonality and Orthogonal Complements
6.3 New Orthogonal Bases, Projections and Gram Schmidt M333_11
M333_11b
M333_11c
6.4 New Least Squares Approximations M333_12
M333_LS
6.5 Skipping Fourier Series Introduction

8.1 New General Linear Transformations M333_13
8.2 New Compositions and Inverse Transformations M33_14
8.3 New Isomorphisms
8.4 New Matrices for General Linear Transformations

## Homework

Due date Description File

Homework 1 Sept 10 1.1-1.4 of textbook HW1
Errata: For question 9) the lower right diagonal should be "8" not "9".....as in a_33=8. HW1 posted above has this correction in it.

Homework 2
Sept 24 1.6-1.8 of textbook, determinants and matrix transformations HW2

Homework 3 Oct 15 Vector spaces, subspaces, span, linear independence, coordinates, bases HW3

Homework 4 Nov 12 Inner Products, Orthogonal Complements, Projections HW4
Homework 5 Dec 1

Gram-Schmidt, Projection transformations, Least Squares, General
Linear transformations: ker(T), R(T), T^{-1}

HW5

## Exams

Date Description

Midterm 1

Oct 22
1. You are allowed one sheet of notes (both sides).
2. The Vector Space axiom sheet (A1)-(A10) will be attached to the test.
3. The test will only include material from HW1-HW3
4. Most of the material will be on section 1.8 and chapter 4 of the textbook.
5. Some notable points
1. There won't be Elementary Matricix questions
2. You will need to know all the algebraic properties of transpose, inverses and determinants of matrices
3. You won't have to prove theorems I did in class/my notes
4. You need to know all about matrix transformations (M333_3)
5. The only material possibly from Chapter 3 would be projections.
6. Any question on vector spaces from M333_5 to M333_7b is fair game and the bulk of the test.
Final

Monday
Dec 7
2:00-3:50

1. You are allowed one sheet of notes (both sides).
2. The test will only include material from HW4-HW5
3. You will not be awarded full credit if you use notation incorrectly
4. Just stating an answer without some sort of work will not give you full credit.
5. There may be a True/False question or a question that will check your knowledge of definitions and/or notations.
6. I'm trying to write it so you need only 75min to do it but you will have the full 1hr 50min

## Calendar

Below is a calendar showing homework due dates and exam dates (once announced).

 Sunday Monday Tuesday Wed Thursday Friday Saturday 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7Labor Day 8 9 10 HW1 due 11 12 13 14 15 16 17 18 19 20 21 22 23 24 HW2 due 25 26 27 28 29 30 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 HW3 due 16 17 18 19 20 21 22 Midterm 1 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 8 9 10 11Veteran's Day 12 13 14 15 16 17 18 19 LastDropDay 20 21 22 23 24 25Thanksgiving 26Thanksgiving 27 Thanksgiving 28 29 30 1 2 3 4 Classes end 5 6 7 8 9 10 11 12

Note: TBA

Note: TBA