MA2320: Elementary Linear Algebra

Jun 26, 2012

Printable version

Course description

Elementary Linear Algebra
An introduction to linear algebra and how it can be used. Topics include systems of equations, vectors, matrices, orthogonality, subspaces, and the eigenvalue problem. Not open to students with credit in MA2321 or MA2330.
Credits:
2.0
Lec-Rec-Lab:
(0-2-0) Semesters Offered: Fall, Spring, Summer Restrictions: May not be enrolled in one of the following Major(s): Computer Science, Mathematics
Pre-Requisite(s):
MA 1160 or MA 1161
Attributes:
General Ed Mathematics

Text

David C. Lay Linear Algebra and its applications, (Fourth Edition)

Tentative Schedule.

Linear equations in Linear Algebra



Date

Topic

Recommended exercises
MJun 25
1.1 Systems of Linear Equations
3,5,9,13,15,19,23,29
TJun 26
1.2 Row Reduction and Echelon Form
1,3,13,15,17
WJun 27
1.3 Vector Equations
1,5,9,11,13,17,23,25,29
RJun 28
1.4 The Matrix Equation Ax=b
3,7,9,11,15,21,25,29
MJul 02
1.5 Solutions Sets of Linear Equations
1,5,7,11,13,15,19,23
TJul 03
1.6 Applications of Linear Equations
1,5,7,11,13,15,19,23
WJul 04
Independence Day Recess
RJul 05
No class
MJul 09
1.7 Linear Independence
1,3,5,7,11,13,15
TJul 10
1.8 Introduction to Linear Transformations
1,3,9,15,19,21,23,33
WJul 11
1.9 The Matrix of a Linear Transformation
1,3,5,7,9,23,15,17,19,21
Chapter 1 Exam (Due Jul 12)

Matrix Algebra



Date

Topic

Recommended exercises
RJul 12
2.1 Matrix Operations
1,3,5,7,11,15,19
MJul 16
2.2 The inverse of a matrix
1,3,5,9,13,15,19,23,25
TJul 17
2.3 Characterizations of Invertible matrices
1,3,5,13,15,19,23,25
WJul 18
2.8 Subspaces of Rn
1,3,5,11,15,19,23,27
RJul 19
2.9 Dimension and Rank
1,5,9,11,13,15,19,23

Determinants



Date

Topic

Recommended exercises
MJul 23
3.1 Introduction to Determinants
3.2 Properties of Determinants
(3.1) 1,3,5,9,11,15,17,21
(3.2) 3,7,17,19,21,23,25
TJul 24
Review
Chapter 2 and 3 Exam (Due Jul 25)

Eigenvalues and Eigenvectors



Date

Topic

Recommended exercises
WJul 25
5.1 Eigenvectors and eigenvalues
1,3,5,7,9,11,13,21
RJul 26
5.2 The Characteristic equation
1,3,5,9,11,15,21,23

Orthogonality and Least Squares



Date

Topic

Recommended exercises
MJul 30
5.3 Diagonalization
1,3,57,9,21,23,27
TJul 32
6.1 Inner Product Length and Orthogonality
1,3,5,7,9,15,19
WAug 01
6.2 Orthogonal sets
1,3,7,9,17,21,23,25
RAug 02
6.3 orthogonal projection
1,3,5,7,11,13,15,21
MAug 06
6.5 Least-squares problems
1,3,5,7,11,13,15
TAug 07
6.6 Applications to linear models
1,3,7,9
WAug 08
Review
Chapter 5 and 6 Exam (Due Aug 09)
RAug 09
Review for Final

Finale.

WAug 10Final Exam 3:00pm to 5:00pm
You are responsible for all of the material in these sections even if it is not presented in class.

Grading

Your grade will be based on 3 take away examinations lowest score dropped (40%) a 2 hour comprehensive final (60%).

Some advice

This course in Linear Algebra will likely be your first introduction to abstract axiomatic mathematics. This approach may seem very unfamiliar at first and your performance will depend heavily on how much effort you put into understanding the concepts. At a minimum you should