MA 106 Course Description

MA106 TRIGONOMETRY (3 Cr.)

COURSE DESCRIPTION

Satisfies the foundations of natural science- mathematics requirement [Division III]

Prerequisite: MA 104 or MA 103 (any of these passed with C- or better.) or satisfactory score on the Math Placement Exam. A graphing calculator or equivalent software is required.

Offered: Fall, Winter

General Introduction and Goals

MA 106 is for students who need trigonometry but not analytic geometry and calculus. Credit cannot be earned for both MA 106 and MA 115, except by written permission from the Mathematics Department. It is designed to be a terminal math course, with emphasis on applications in the applied sciences. Students who are considering taking MA161 should take MA115 instead of this course.

Course Content

  1. Geometry Review
    • Angles and their measurement (degrees and radian)
    • Similar triangles and the Pythagorean Theorem
    • Lengths of sides of standard (30-60-90, 45-45-90) right triangles
  2. Right Triangle Trigonometry
    • Definition of trigonometric functions of acute angles
    • Trigonometric values of standard angles
    • Using calculators to find values
    • Solving right triangles
  3. Trigonometric Functions of Real Numbers
    • Definition, trig function values of standard numbers
    • Applications to oblique triangles
    • Cosine Law, Sine Law; areas
    • Graphing Trigonometric Equations
  4. Equations and Identities
    • Solving equations, proving identities
    • Composite angle identities; sum, difference, double, half-angle formulas
  5. Inverse Functions
    • Definition of inverse trigonometric functions and their graphs
    • Solving equations involving inverse functions
  6. Other Topics in Applied Trigonometry
    • Vectors
    • Parametric equations
    • Polar coordinates and graphing polar equations