UGA Bulletin

Course Description

Preparation for calculus, including an intensive study of algebraic, exponential, logarithmic, and trigonometric functions and their graphs. Applications include simple maximum/minimum problems, exponential growth and decay, and surveying problems.

Athena Title

Precalculus

Equivalent Courses

Not open to students with credit in MATH 1113E

Semester Course Offered

Offered fall, spring and summer

Grading System

A - F (Traditional)

Course Objectives

Students should learn the background material necessary for them to successfully continue with a scientific calculus course. Students should learn algebraic, exponential, logarithmic, and trigonometric functions and their graphs. Students should also be able to solve simple maximum and minimum problems.

Topical Outline

1. Review of coordinates, distance formula, similar triangles. Equations of lines, quadratic equations, word problems using linear and quadratic equations. 2. Functions. Definition, graph, techniques in graphing. Composition and inverse functions. Linear and quadratic functions. Completing the square, setting up and solving maximum/minimum problems involving quadratic functions. 3. Exponential and logarithmic functions. Properties of exponentials and logarithms. Equations and inequalities involving exponentials and logarithms. Compound interest, exponential growth and decay. 4. Trigonometric functions. Acute angles and right triangle trigonometry; applications. Trigonometric functions of angles and identities. Radian measure, trigonometric functions of real numbers. Graphs of the basic trigonometric functions, amplitude and phase shifts. 5. Addition formulas, double-angle formulas, trigonometric equations, inverse trigonometric functions. Law of sines, law of cosines, and applications.

General Education Core

CORE I: Foundation
CORE III: Quantitative Reasoning

Syllabus

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