Prior to Fall 2013, MATH 113 did not include trigonometry
Description
MATH 113 - College Algebra and Trigonometry, is intended as a preparation for MATH 220, Elementary Calculus.
Prerequisites
Satisfactory score on Math Department placement exam or completion of the appropriate module of MATH 003.
Topics
Review
Radicals and rational exponents
Fractional expressions
Polynomial and Rational Functions
Linear equations and geometric sequences with mathematical modeling
Quadratic equations including quadratic formula and applications
Inequalities including linear, polynomial and rational inequalities
Graphs of equations including intercepts and symmetry
Cartesian plane, Lines in the plane (review) with applications
Functions with modeling
Graphs of functions, including translations and reflections
Combinations of functions including composition
Inverse functions
Quadratic functions (graphing and max-min problems)
Polynomial functions including graphing and the intermediate value theorem
Graphing rational functions with applications
Logarithmic and Exponential Functions
Definition, graph, models
Solving logarithmic and exponential equations
Application of exponential and logarithmic functions
Trigonometry
Angles, radians
Trigonometric functions, graphs
Trigonometric equations
Law of sines and Law of cosines
Material covered in MATH 113 in place of the above Trigonometry prior to Fall 2012:
Systems of equations in two or more variables
Substitutions
Elimination
Gauss-Jordan or Gaussian elimination
Systems of inequalities (in two variables)
Matrices and matrix operations
Sequences and summation notation (including arithmetic sequences and geometric sequences)