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Master Course Outline
MATH 115
Finite Mathematics


Credits: 5
Clock Hours per Quarter: 50

AA Discipline: [Quantitative] [Natural Sciences]

Lecture Hours:50


Description
Study of mathematical systems encountered in the work of behavioral, managerial, and social science students. Topics include systems of linear equations and inequalities, matrices, linear programming, introductory probability, mathematics of finance, and elementary Markov chains.   Prerequisite: Grade of C or higher in MATH 078E or permission of the Mathematics Department.

Intended Learning Outcomes
  • Graph ordered pairs of numbers in the Cartesian coordiante plane.
  • Find the slope of a line.
  • Find the equation of a line given various conditions.
  • Graph linear equations.
  • Determine if lines are parallel, perpendicular, or neither.
  • Solve applied problems involving linear functions.
  • Solve 2 by 2 linear systems graphically, by substitution, and by elimination.
  • Use the Gauss-Jordan method and inverses of matrices to solve n by n systems of linear equations; i.e.d, 3 by 3 systems and higher.
  • Perform various operations on matrices: addition, subtraction, scalar multiplication, multiplication, transpose and inverse.
  • Solve applied problems involving 2 by 2 and 3 by 3 systems of equations.
  • Graph systems of linear inequalities in two variables.
  • Solve linear programming problems using both the geometric and simplex methods.
  • Solve financial problems involving simple and compound interest, effective interest rates, present and future value of an annuity, amortization, and sinking fund payments.
  • Understand set terminology and notation.
  • Understand set operations: union, intersection, complementation; and commutative, associative, distributive, and De Morgan's Laws.
  • Use Venn diagrams.
  • Determine the number of elements in a finite set.
  • Use the fundamental principle of counting or multiplication principle.
  • Distinguish between combinations and permutations and be able to calculate each.
  • Find the sample space of an experiment.
  • Find the probability of an event.
  • Use the rules of probability to calculate the probability of compound events.
  • Use counting techniques in calculating probability of events.
  • Solve probability problems involving conditional probability, independent events, and Bayes' Theorem.
  • Write transition matrices for Markov processes.
  • Determine whether a Markov chain is regular and to determine its steady-state distribution vector.
  • Determine the optimal strategy in games which are strictly determined and optimal strategies in games which are not strickly determined.
  • Will effectively communicate mathematical ideas in both everday and mathematical language.

  • Course Topics
  • Straight Lines and Linear Functions
  • Systems of Linear Equations and Matrices
  • Linear Programming
  • Mathematic of Finance
  • Sets and Counting
  • Introduction to Probability
  • Markov Chains
  • Probability Distributions
  • Introduction to Statistics
  • Theory of Games



  • Syllabi Listing See ALL Quarters
    Course
    Year Quarter
    Item
    Instructor  
    MATH 115
    Fall 2014
    6555
    Michael Shively
    MATH 115
    Winter 2014
    0889
    Shana Smith
    MATH 115
    Fall 2013
    6555
    Michael Shively
    MATH 115
    Spring 2013
    6560
    Michael Shively
    MATH 115
    Winter 2013
    0448
    Shana Smith


    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.