Introduction to Linear Algebra

Department: 
MATH
Course Number: 
1553
Hours - Lecture: 
2
Hours - Lab: 
0
Hours - Recitation: 
1
Hours - Total Credit: 
2
Typical Scheduling: 
Every Semester

An introduction to linear algebra through eigenvalues and eigenvectors, applications to linear systems, least squares.

Prerequisites: 

Math SAT Section Score (new SAT) of 620 or ACT 26 or ACT equivalent 600 or MATH 1113 Precalculus or 15X2 or 1X52 or MATH 1552 Integral Calculus.

MATH 1553, MATH 1554, and MATH 1564 are equivalent and only one can be taken for credit. Note: MATH 4305 cannot be used for credit in the BS MTH degree.

Course Text: 

Linear Algebra and Its Applications, 5th Edition, by David C. Lay.

Flow chart describing textbook choices for Fall 2019.

Topic Outline: 
Topic Text Sections Lectures
Solving systems of linear equations 1.1-1.2 3
Vectors, geometry of Rn, solution sets 1.3-1.5 4
Linear independence and linear transformations 1.7-1.9 2
Matrix operations and matrix inverses 2.1-2.3 2
LU factorization 2.5 2
Subspaces, bases, dimension, rank 2.8-2.9 2
Determinants 3.1-3.2 2
Vector spaces 4.3 1
Eigenvalues and eigenvectors 5.1-5.3 3
Diagonalization of symmetric matrices 7.1-7.2 2
Inner products and orthogonality 6.1-6.3 3
Gram–Schmidt and QR decomposition 6.3-6.4 3
Method of least squares 6.5 1