Introduction to Linear Algebra for Calculus

Department: 
MATH
Course Number: 
1522
Hours - Lecture: 
3
Hours - Lab: 
0
Hours - Recitation: 
0
Hours - Total Credit: 
2
Typical Scheduling: 
Not offered after Summer 2015

Will be replaced by MATH 1553. See also MATH 1554, 1564. Transfer students with credit for MATH 15X2 (Transfer Calculus II) should take MATH 1522 to satisfy the linear algebra requirement in MATH 1502.

Prerequisites: 

MATH 15X2

New Math Core Fall 2015.

Course Text: 

At the level of Linear Algebra and its Applications, by David Lay (Fourth Edition), Pearson, 2012 (referred to as Lay in the table below).

Topic Outline: 
Topic Text Sections Lecture Equivalents
Solving Systems of Linear Equations 1.1-1.2 in Lay 3
Vectors, Geometry of R^n, and Solution Sets 1.3-1.5 in Lay; optional supplements from Salas, Hille&Etgen, Ch. 13 4
Linear Independence and Linear Transformations 1.7 – 1.9 in Lay 2
Matrix Operations and Matrix Inverses 2.1 – 2.3 in Lay 2
LU Factorization 2.5 in Lay 2
Subspaces, Bases, Dimension, Rank 2.8-2.9 in Lay 2
Determinants 3.1 – 3.2 in Lay 2
Vector Spaces 4.3 in Lay 1
Eigenvalues and Eigenvectors 5.1 – 5.3 in Lay 3
Diagonalization of Symmetric Matrices 7.1 – 7.2 in Lay 2
Inner Products and Orthogonality 6.1 – 6.3 in Lay 3
Gram Schmidt and QR 6.3 – 6.4 in Lay 3
Least Square 6.5 in Lay 1
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