MTH 166 is intended to prepare students for Calculus with Analytic Geometry (MTH 173) the calculus course for math, science, engineering and computer science majors.  Those students interested in taking Applied Calculus (MTH 271) the calculus course for business and social science majors can still take MTH 166 or they can take MTH 163 instead.  In MTH 166 we concentrate on a study of functions and their properties and graphs as well as a study of trigonometry.  These functions include linear, polynomial, rational, exponential and logarithmic functions in addition to the trigonometric functions. 

Topics covered:

• Review of algebraic expressions

• Exponents and radicals

• Inequalities and absolute value

• Complex numbers

• Graphs

• Functions

• Polynomial functions

• Rational functions

• Exponential and logarithmic functions

• Analytic Geometry

• Conic Sections

• Trigonometric Functions

• Applications of Trigonometric functions

 Presentations

Factoring Tutorial

Evaluating Functions Tutorial

Lines and Slopes Tutorial

Parallel and Perpendicular Lines Tutorial

Inverse Functions Tutorial

Regressions Using the Calculator

Section 2.1 Linear Models

Section 2.2 Applications

Section 2.4 Applications

Section 2.4 Completing the Square

Section 3.1 Completing the Square of a Function

Section 3.7 Linear and Quadratic Models

Review for Test 2

Section 4.1 Exponential Functions

Section 4.2 4.3 Properties of Logarithms

Asymptotes Tutorial

Guidelines for Graphing Curves

Section 5.3 Common Trigonometric Functions

Section 5.7 Trig Applications

Section 6.1 Trigonometric Identities

Section 6.5 Multiple Angle Formulas

Section 7.2 Law of Cosines

Section 9.1 Summing Series with the Calculator

Section 10.1 Conics

Sections 10.1, 10.2 Conics Summary