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Master Course Outline
MATH 220
Linear Algebra


Credits: 5
Clock Hours per Quarter: 50

AA Discipline: [Quantitative][Natural Sciences]

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 Gram-Schmidt process to produce an orthogonal basis for a vector space.
  • Find least-squares 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 ram-schmidt process, least-squares 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.