Linear Algebra

Department: 
MATH
Course Number: 
1554
Hours - Lecture: 
3
Hours - Lab: 
0
Hours - Recitation: 
2
Hours - Total Credit: 
4
Typical Scheduling: 
Every Semester

Linear algebra through eigenvalues, eigenvectors, applications to linear systems, least squares, diagonalization, quadratic forms.

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 2
Vectors, geometry of R^n, and solution sets 1.3-1.5 3
Linear independence and linear transformations 1.7-1.9 3
Matrix operation and matrix inverses 2.1-2.3 3
LU factorization 2.5 1
Leontief model 2.6 1
Applications to computer graphics 2.7 1
Subspaces, bases, dimension, rank 2.8-2.9 3
Determinants 3.1-3.3 3
Markov chains 4.9 1
Eigenvalues, eigenvectors, and diagonalization 5.1-5.3 4
Google PageRank Notes 1
Complex eigenvalues and eigenvectors 5.5 2
Inner products and orthogonality 6.1-6.3 4
Gram–Schmidt and QR 6.3-6.4 3
Least squares 6.5-6.6 1
Diagonalization and symmetric matrices 7.1 2
Quadratic forms and constrained optimization 7.2-7.3 2
Singular value decomposition 7.4 2