Course ID: | MATH 1113E. 3 hours. |
Course Title: | Precalculus |
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. |
Oasis Title: | Precalculus |
Duplicate Credit: | Not open to students with credit in MATH 1113 |
Nontraditional 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 semester every year. |
Grading System: | A-F (Traditional) |
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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. |