MATH 113 (College Algebra with Applications)
| DESCRIPTION |
MATH 113, College Algebra with Applications, 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 of radicals and rational exponents, fractional
expressions,
linear equations, geometric sequences
Mathematical modeling
Quadratic equations including quadratic formula and applications
Inequalities including linear, polynomial and rational inequalities
Cartesian plane (review) with applications
Lines in the plane (review) with applications
Graphs of equations including intercepts and symmetry
Linear modeling including direct variations, slope as a rate of change
and Scatter plots
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
Exponential functions: definition, graph, models
Logarithmic functions: definition, graph, properties
Solving logarithmic and exponential equations
Application of exponential and logarithmic functions
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 |
| TEXT |
Text(s)
typically used in this course |
|
