Master Course Outline
MATH 220
Linear Algebra

Credits: 5 
Clock Hours per Quarter: 50
Lecture Hours:50

Description
Math 220 designed for students planning to major in mathematics, engineering, computer science, or physics. Topics include systems of linear equations, matrices, eigenvalues, eigenvectors, vector spaces, linear transformations, orthogonality and diagonalization. Prerequisite: A grade of C or higher in MATH& 153, satisfactory placement, or permission of the Math Department. 
Intended Learning Outcomes
Use matrices to solve systems of linear equations and vector equations.
Add, subtract, multiply, invert, and factor
matrices.
Analyze the linear independence of a set of
vectors and determine a basis for a vector space.
Find eigenvalues and eigenvectors and use them
to diagonalize matrices.
Analyze linear transformations and interpret
them geometrically in R2 and R3 when applicable.
Apply the GramSchmidt process to produce an
orthogonal basis for a vector space.
Find leastsquares solutions.
Access and use technology including a computer
algebra system.
Communicate mathematics using appropriate
vocabulary and notation.

Course Topics
Systems of linear equations
Matrix dperations, determinants, inverses, row space, column space, nullspace, rank, diagonalization, LU factorization, QR factorization
Gaussian elimination, row operations, echelon forms Matrix and vector equations
Linear combinations of vectors, linear independence of vectors, geometry of vectors in R2 and R3
Eigenvalues, eigenvectors, eigenspaces, eigenbases
Vector spaces, subspaces, bases, dimension, coordinate systems, change of basis
Linear transformations, domain, codomain, range, image, kernel
Orthogonality, G ramschmidt process, leastsquares solutions


Syllabi Listing See ALL Quarters
Course 
Year Quarter 
Item 
Instructor 

MATH 220 
Winter 2017 
7184 
Julianne Sachs 

MATH 220 
Winter 2016 
7184 
Julianne Sachs 

MATH 220 
Winter 2011 
1484 
Julianne Sachs 

MATH 220 
Winter 2009 
1484 
Eric Schulz 

MATH 220 
Winter 2008 
1484 
HEATHER VAN DYKE 


Two Year Projected Schedule
Year One* 
Year Two** 
Fall 
Winter 
Spring 
Summer 
Mini 
Fall 
Winter 
Spring 
Summer 
Mini 

X





X





*If fall quarter starts on an odd year (2003, 2005, etc.), it's Year One.
**If fall quarter starts on an even year (2002, 2004, etc.), it's Year Two.
