Course Syllabus
| Course Number: |
|
Math 180 |
| Course Title: |
|
Precalculus with Trigonometry |
| Credit Hours: |
|
5 |
| Prerequisite(s): |
|
Math 169 or equivalent; previous trigonometry background |
| Corequisite(s): |
|
None |
| Contact Hours Per Week: |
|
5 |
| Semester Contact Hours: |
|
75 |
| Catalog Description: |
|
This course provides the necessary background in college-level algebra
and trigonometry for calculus for those with a previous background in
the study of trigonometric functions. Those without a trigonometry
background should elect MATH 176 and MATH 178 instead. Topics include:
properties of real numbers, relations and functions,
graphs, rational and non-rational functions,
exponential and logarithmic functions, trigonometric functions, inverses,
conic sections, sequences and series, and the binomial theorem.
This course transfers to most four-year institutions. A graphing calculator
is required for this course. Consult the time schedule for
the current brand and model.
|
| Textbook #1: |
|
Precalculus: College Algebra and Trigonometry |
| Author(s): |
|
Bila, Egan, and Palay |
| Publisher: |
|
Instructional Technologies, Inc. |
| Edition: |
|
latest |
| Required Equipment and Supplies: |
|
Graphing Calculator (TI-86 or current department recommended model) |
| Supplemental Reference Materials: |
|
none |
| Primary Purpose of Course: |
|
 |
Program Requirement |
 |
Basic Skills |
|
College Transfer |
|
Core Curriculum |
|
Industry Training |
|
Personal development |
|
Other (specify) |
|
|
|
| |
Course Objectives:
|
| 1. |
The student will be able to operate and reason with the real number system,
including whole numbers, natural numbers, integers, rational and irrational numbers.
|
| 2. |
The student will be able to operate in function notation
and/or set builder notation and perform
various operations and problem representation, solution and evaluation with
functions and inverses.
|
| 3. |
The student will be able to graph reason qualitatively and quantitative,
and perform various operations and problem
representation, solution and evaluation with linear, quadratic, rational and non-rational functions.
|
| 4. |
The student will be able to graph and perform various operations and problem
representation, solution and evaluation with
exponential and logarithmic functions.
|
| 5. |
The student will be able to graph and perform various operations and problem
representation, solution and evaluation with conic sections.
|
| 6. |
The student will be able to perform basic operations and problem
representation, solution and evaluation with sequences and series and the binomial expansion.
|
| 7. |
The student will be able to graph, work with identities, and perform various operations and problem
representation, solution and evaluation with trigonometic functions.
|
| Unit |
Title |
Content |
| 1. |
Algebra of Numbers and Functions |
Operating with sets, real numbers, distance formula,
linear inequalities, absolute value, relations and functions,
algebra and composition of functions,
symmetry, increasing and decreasing functions, inverse functions |
| 2. |
Linear and Quadratic Functions |
Linear functions (optional: matrices and determinants),
quadratic functions |
| 3. |
Polynomial, Rational and Algebraic Functions |
Remainder, factor and root theorems, graphing polynomial functions, rational functions,
piecewise-defined functions, non-rational functions, parametric equations |
| 4. |
Exponential and Logarithmic Functions |
Exponents, exponential functions, logarithmic functions,
properties of logarithms, applications |
| 5. |
Conic Sections |
Circles, parabolas, ellipses, hyperbolas |
| 6. |
Sequences, Series, and the Binomial Theorem |
Sequences, arithmetic and geometric sequences, recursive definitions,
sigma notation, series, arithmetic and geometric series, the binomial theorem |
| 7. |
Trigonometric Functions and Their Inverses |
Trigonometric functions, trigonometric graphs and inverses,
identities, solution of triangles, trigonometric equations, radian and degree measure |