Any in-class announcement, verbal or written, is considered

official addendum to this syllabus.

**Course:**
MAT 342, Linear Algebra

**Time:**
8:40 - 9:30 am, MWF

**Location:**
PSA 309

**Line #:**
60136

**Instructor:**
Dr. Sergei Suslov

**Office: **
PSA 621

**Phone: **
965-8987

**E-mail: **
*sks@asu.edu*

**Office Hours:** 11:40
am– 12:30 pm MWF or by appointment

**Text: ** *Linear Algebra
with Applications*, 7th edition,

by Steven
Leon, 2006

**Prerequisite:**
MAT 272 or equivalent

**Exams: **
There will be three regular in class exams (3*100);

homework, quizes and/or computer labs (100);

and a comprehensive final exam (200)

**Grading Policy:**

A-, A, A+ = 90 - 100%

B-, B, B+ = 80 - 89%

C, C+ = 70 - 79%

D = 60 - 69%

E = 0 - 59%

**Material to be covered:
**Except for a few sections, chapters 1-6 will be covered

**Make-up policy:** No
make-up exams will be given without notification.

Also, no late homework will be accepted for grading.

MAT 342 is a linear algebra course at
the sophomore/junior level, intended primarily for mathematics,

science and engineering
students. The goal of the
course is to impart the concepts and techniques

of modern linear algebra
(over the real scalar field) with a significant level of rigor.

The prerequisite is coregistration
in MAT 272.

The successful student will be able
to write clearly about the concepts of linear algebra,

(definitions, counterexamples,
simple proofs),and to apply the theory to examples.

Some exposure to the practical
nature of solutions of linear algebra problems is healthy.

On the other hands, sophisticated
numerical algorithms should not be presented.

Use of computers to work numerous problems
often can enhance the student’s understanding

of the material.
It is suggested that a software package
be made available to the students,

but that classroom discussion
of computers be limited. Instructors
are encouraged,

but not required, to make
use of computers in the course.

Below is a list of **recommended topics**,
together with approximate class times for each section.

If time permits, applications
(e. g. least-squares, LU decomposition, difference equations,

dense vs. sparse matrices,
etc.), or an introduction to complex vector spaces may be included.

# Systems of linear equations and matrices
(6 50-minute classes)

Gauss-Jordan elimination,
homogeneous systems, matrix algebra, elementary matrices, inverses

# Determinants
(3 50-minutes classes)

by row reduction and
cofactor expansions, Cramer’s rule

# Vector Spaces
(9 50-minutes classes)

Euclidean space, general
(real) vector spaces, subspaces, linear independence,

dimension, row, column and
null spaces

# Inner products
(5 50-minutes classes)

norms, orthogonal bases
and Gram-Schmidt orthogonalization

# Linear transformations
(8 50-minutes classes)

Kernel and range, inverse
transformations, matrices of linear transformations,

change of basis, similarity

# Eigenvalues and eigenvectors
(7 50-minutes classes)

diagonalization, orthogonal
diagonalization and symmetric matrices, quadratic forms

**Suggested MAT 342 Homework Problems**

**Section
Problems
**

**1.1** 11/1a,1c,2,3,4,5a,5b,5c,6a,6c,6f,11

**1.2**
25/1,3,4,5b,5d,5e,5h,6b,11,13,17

**1.3**
57/1,2,3,4,8b,8d,12,14,15,16

**1.4**
69/2,9,10c,10f,10g,11a,21

**2.1**
96/2,3c,3e,3g, 3h,5,6,11

**2.2**
103/1(a)-(c),3(a)-(e),5,6,13

**2.3**
109/1c,2a,2c

** 3.1**
121/1,4,6*,9

**3.2** 131/1*,2*,3,4*,5,9a,b,11,14*,17,18,20

**3.3**
144/2*,5,7*,11*,14,15,16,17

**3.4**
150/ 3*,5*,9,10,11*

**3.5**
161/1*,2*,5,7,8*

**3.6**
167/1*,2,4b,4d,4e,6,7,11,15*,20

**4.1**
182/1*,3*,4,6*,7,8,9,11,12*,16,19*,22,24

**4.2**
196/1*,2*,3*,4,5,13

**5.1**
223/1a,1d*,7,12*

**5.4**
252/1*,2(a)*,3*, 7, 17,24*,29

**5.6 **
281/1b,3*,7,8*

**6.1**
310/1(a)-(f)*,2(a)*,3,5*,6,8*,10,13*,17*,22

**6.2**
323/1(a)-(c)*,2(a)-(c)*

**6.3**
340/1b,1e,2b,2e,3b,3e,4a,6,8c,13,15

*homework problem to review

Leon Linear
Algebra Textbook Homepage

Linear Algebra
WebNotes by Dr. Mark V. Sapir

Linear Algebra
WebNotes by Dr. Beth Novick

Elementary Linear Algebra

(Lecture Notes by Keith Matthews, 1991)

Linear Algebra
Website,

Department
of Mathematics, Arizona State University

History
of Mathematics Archive

I Hate Linear Algebra
Home Page

Top
Ten Suggestions on Teaching Linear Algebra

The
Maple Computer Algebra System

__Homework__

**HW#1**, sections 1.1-1.2:
due to *Friday, September 1
*

__Computer labs__

**Lab#1**,
*"Introduction to Maple V"*:

**Lab#2**,
*"Gauss-Jordan elimination"*:

**Lab#3**,
*"Matrix Algebra"*:

**Lab#4**,
*"Matrix Inversion, Determinants, and Cramer's Rule"*:

**Lab#5**,
*"Vector Spaces, Independence, Basis, and Dimension"*:

**Lab#6**,
*"Row Space, Column Space, and Nullspace"*:

**Lab#7**,
*"Gram-Schmidt process, Eigenvalues and Eigenvectors"*:

__Tests__

__Test#1__, *Monday, September 25*

*Test Review*,
*Friday, September 22*

Sections 1.1-1.4 and
2.1-2.3 are on the test.

Problems to review:

1.1: # 6(d)-(f)

1.2: # 6(a)-(d)

1.3: # 1(a)-(h), 2(a)-(f), 5, 8

1.4: # 9(a)-(h)

2.1: # 2(a)-(c), 3(a)-(h), 4, 5

2.2: # 1(a)-(c), 3, 5, 6, 10

2.3: # 1(a)-(d), 2(a)-(e)

You may use your calculators if you wish during the test but
I will not accept "calculator's" solutions!

You must show your work in order to get the full credit!

__Test#2__,
*Friday, November 3*

*Test Review*,
*Wednesday, November 1*

Sections 3.1-3.6 and
6.1-6.2 are on the test.

Problems to review: see homework problems with * above

__Test#3__,
*Monday, December 4 or Tuesday, December 5 (in the testing center!!!)*

*Test Review*,
*Monday, December 4*

Sections 4.1-4.2 and
5.1, 5.4, 5.6 are on the test.

Problems to review: see homework problems with * above

__Quizes__

__Quiz#1__,
*Friday, October 20*

Sections 3.1-3.6 are on the quiz.__
Quiz#2__,

Sections 3.1-3.6 and 6.1-6.2 are on the quiz.

__Final Exam:__**Tuesday, December 12, 7:40 - 9:30 am, PSA 309**

__Reviews:__**Monday, December 4 (regular time and place),
Wednesday, December 6 (PSA 304, 10-11:15 am)**

*HAVE A NICE SEMESTER!*