Math 215
LINEAR ALGEBRA
Fall 2008
 
Topics and Lectures

Chapter 1

1.1 Systems of Linear Equations Lecture 1.1
HW (pp 11-13) 2, 6, 12, 13, 16, 19, 23, 24. Due Mon. Sept. 15

1.2 Row Reduction and Echelon Forms Lecture 1.2
HW (pp 25-26) 2, 4, 7, 8, 12, 14, 19. Due Wed. Sept. 17

1.3 Vector Equations Lecture 1.3
HW (pp. 37-39) 6, 9, 12, 14, 18, Due Mon. Sept. 20

1.4 The Matrix Equation Ax = b Lecture 1.4
HW (pp. 47- 48) 2, 4, 8, 11, 12, 13, 14, 21, 24 Due Fri. Sept. 26

1.5 Solution Sets of Linear Systems Lecture 1.5
HW (pp. 55-56) 2, 6, 8, 10, 12, 16, 24 Due Mon. Sept. 29

1.7 Linear Independence Lecture 1.7
HW (pp. 71-72) 2, 6, 8, 12, 22, 26, 28 Due Wed. Oct. 1

1.8 Introduction to Linear Transformations Lecture 1.8
HW (pp. 79-81) 4, 6, 10, 12, 22 Due Mon. Oct. 6

1.9 The Matrix of a Linear Transformation Lecture 1.9
HW (pp. 90-91) 2, 4, 6, 18, 24 Due Wed. Oct. 8

Chapter 2

2.1 Matrix Operations Lecture 2.1
HW (pp. 116-117) 2, 6, 10, 12, 16 Due Fri. Oct. 10

2.2 The Inverse of a Matrix Lecture 2.2
Hw (pp. 126-127) 2, 4, 6, 12, 16, 22, 28 Due Mon. Oct. 20

2.3 Characterizations of Invertible Matrices Lecture 2.3 Hw (pp. 132-133) 2, 4, 6, 12, 16, 22, 28 Due Fri. Oct. 24

2.8 Subspaces of R^n Lecture 2.8 Know how to do: 1-26
Hw (pp. 173-174) 2, 8, 10, 16, 18, 22, 26 Due Wed. Oct. 29

2.9 Dimension and Rank Lecture 2.9 Know how to do 1-25
Hw (pp.180-182) 2, 6 10, 12, 14, 18, 24 Due Fri. Oct. 31

Chapter 3

3.1 Introduction to Determinants
Know how to do 1-40
Hw (pp. 190-191) 2, 6, 10, 12, 22, 24, 40 Due Wed. Nov. 5

3.2 Properties of Determinants Lecture 3.1 and 3.2
Know how to do 1-28
Hw (pp. 199-200) 2, 4, 6, 8, 12, 16, 22, 24, 28 Due Fri. Nov. 7

3.3 Cramer's Rule, Volume, and Linear Transformations Lecture 3.3 Cramer
Lecture 3.3 Area
Know how to do 1- 22
Hw (pp. 209-210) 4, 6, 12, 20 Due Mon. Nov. 10

Chapter 4

4.1 Vector Spaces and Subspaces Lecture 4.1

4.2 Null Spaces, Column Spaces, and Linear Transformations Lecture 4.2

4.3 Linearly Independent Sets: Bases Lecture 4.3

4.5 The Dimension of a Vector Space Lecture 4.4

4.6 Rank Lecture 4.6

4.7 Change of Basis Lecture 4.7

Chapter 5

5.1 Eigenvectors and Eigenvalues Lecture 5.1

5.2 The Characteristic Equation Lecture 5.2

5.3 Diagonalization Lecture 5.3

5.4 Eigenvectors and Linear Transformations

Chapter 6

6.1 Inner Product, Length, and Orthogonality Lecture 6.1

6.2 Orthogonal Sets Lecture 6.2

6.3 Orthogonal Projections Lecture 6.3

6.4 The Gram-Schmidt Process Lecture 6.4

 
 

Instructor
Dr. James Baglama

Phone
401-874-4412

Email
jbaglama@math.uri.edu

Fax
401-874-4454

Office 
Tyler Hall 209
(until Oct. 15)
Lippitt 101A
(after Oct. 15)

Office Hours
MWF 11:00am-12:00pm

Website
http://www.math.uri.edu/~jbaglama/classes/2008-2009/fall/math215


Time/Day
Section 01
MWF 10:00am - 10:50am

Section 02
MWF 3:00pm - 3:50pm

Location
Section 01 Swan Hall 309
Section 02 Swan Hall 206

Section Numbers
01 and 02

Prerequisite
Math 131 or Math 141

Text
Linear Algebra and it’s
Applications (3rd ed)
by David C. Lay

Calculators
Required Graphing Calculator, e.g. TI-83,
TI-89, etc

Attendance
Highly recommended
http://www.math.uri.edu/~jbaglama/classes/2008-2009/fall/math215shapeimage_1_link_0
 Evaluation/Grade
Exam I
100 pts Friday Oct. 10
 
Exam II
100 pts Friday Nov. 21
 
Final Exam
200 pts
Section 01 Friday Dec. 19
11:30 am - 2:30pm
Section 02 Thurs. Dec. 18
7:00 pm - 10:00pm
 
Homework/Quizzes
100 pts
 
Projects
100 pts
 
Total Points 600 pts
 
A ... 100% - 90%
B ... 89% - 80%
C ... 79% - 70%
D ... 69% - 60%
F ... 59% - 0%
 
+/- Grades may be given for borderline percentages
 
 
To compute your grade,
(your total points)/6
 
               Links