#### 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)