Instructor

Mark Pernarowski

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)
   

 

Grading

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
 Type
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

Type 
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

Type 
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
 
7
Labor 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
11
Veteran's Day
12
13
14
 
15
 
16
17
18
 
19 LastDropDay
20
21
 
22
 
23
24
25
Thanksgiving
26
Thanksgiving
27
Thanksgiving
28
29
30
1
2
 
3
4 Classes end
5
6
7
8
9
10
11
12

Exams & Midterms

Midterm 1

Note: TBA

Final

Note: TBA