3 Credit Course
Offered in Lab or Lecture or TV Format
Prerequisite required  (MATH 1200 or Appropriate Placement-Test score)

SYLLABUS

I. FUNCTIONS AND GRAPHS

A. Definition and examples
B. Domain and range
C. Combinations of functions
D. Composition/decomposition of functions
E. Graphing of functions

II. LINEAR FUNCTIONS

A. Definition
B. Graphs
C. Equations of lines
        1. Slope-intercept problems
        2. Two-point problems
D. Applications to economics and business

III. QUADRATIC FUNCTIONS

A. Definition
B. Graph of y = ax² + bx + c
      1. x-, y-intercepts
        2. Vertex

IV. SYSTEMS OF EQUATIONS

A. Methods of solving linear equations
        1. Substitution
        2. Elimination by addition
B. Solving nonlinear systems of equations
C. Applications
        1. Supply and demand analysis
                a. Writing supply and demand equations
                b. Finding equilibrium position for the market
2. Break even analysis

V. MATRICES

A. Definition
B. Operations with matrices
        1. Addition and scalar multiplication
        2. Matrix multiplication
C. Special types of matrices
        1. Diagonal matrix
        2. Identity matrix
        3. Zero matrix
*D. Matrix reduction
        1. Elementary row operations
        2. Properties of a reduced matrix
E. A method of determining the inverse of a matrix
F. Matrix solutions to systems of equations

VI. DETERMINANTS

A. Definition
B. Properties
C. Cramer's rule

VII. LINEAR PROGRAMMING

A. Definitions of constraints and objective function
B. Methods of solution
        1. Graphical method of solution
                a. Graphing the feasible solution area
                b. Substituting corner points of the feasible solution area into the objective function
      *2. Simplex method

VIII. EXPONENTIAL AND LOGARITHMIC FUNCTIONS

A. Laws of exponents
B. Exponential functions
        1. Definition
        2. Graphs
C. Logarithmic functions
        1. Definition
        2. Common and natural logarithms
        3. Graphs
        4. Properties of logarithms
D. Relationship between exponential and logarithmic functions
E. Solving logarithmic and exponential equations

IX. MATHEMATICS OF FINANCE

A. Compound interest
        1. Amount
        2. Effective rate of interest
        3. Present value
B. Annuities
        1. Ordinary annuity
                a. Present value
                b. Future value
        2. Annuity due
                a. Present value
                b. Future value
        3. Sinking fund
        4. Amortization
      *5. Complex annuities

*Optional

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