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 1113
Non-Traditional Format
This course will be taught 95% or more online. Students will utilize the features of eLC and WebAssign to access a variety of experiences involving text and video presentation of content, intensive practice, online discussion, expert support, quizzes, and up to four proctored exams which may have remote proctoring fees associated with them.
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: FoundationSyllabus