MAT 187 - Precalculus

5 Credits, 5 Contact Hours
5 lecture periods 0 lab periods

College-level algebra and trigonometry. Includes functions, polynomial functions, rational functions,  exponential functions, logarithmic functions, trigonometric functions and identities and graphing  technology use.

Prerequisite(s): Within the last three years: MAT 095  or MAT 097  with a grade of C or better or  required score on the Mathematics assessment test.
Recommendation: This course is intended as an intensive accelerated preparation for students  who plan to continue to Calculus.
Information: Credit for only one course will be awarded to students completing MAT 151 , MAT 187,  MAT 188   See course description or advisor to choose your best option. No more than 7 credits may be applied toward graduation from the following list of courses: MAT 151 , MAT 187, MAT 188 , or MAT 189 .   Graphing technology is required for this course and will be used extensively.

 
Gen-Ed: Meets AGEC - MATH; Meets CTE - M&S.

1. Analyze functions by determining the domain, range, graph, zeros, asymptotes, and other properties.
2. Solve various types of equations, inequalities, and systems.
3. Solve problems involving real world applications.
4. Solve trigonometric equations and verify trigonometric identities.
5. Solve triangles and real world applications.

A. Quadratic-in-form equations

B.  Radical equations that lead to quadratics

C.  Equations with rational exponents

II.  Functions
       A. Definition and Representation

a.  Numerical

b.  Graphical

c.  Algebraic

      B. Transformations and Symmetry

      C. Operations including Composition

      D.  Average Rate of Change

      E. Inverse Functions

III. Polynomial Functions

     A.Graphs

a. Zeros (real and complex)

b. Relative max and mins

c. End Behavior (use limits to describe)

    B. Equations and Inequalities

    C. Applications

VII. Rational Functions

    A. Domain

    B. Graphs

a. Intercepts

b. Asymptotes (use limits to describe)

   C. Equations and Inequalities

   D.  Applications

V. Exponential and Logarithmic Functions

   A. Exponential Functions

a. Graphs (domain, range, intercepts and asymptote)

b. Equations

c. Applications

   B. Logarithmic Functions

a. Graphs (domain, range, intercepts, and asymptotes)

b. Properties of logarithms

c. Equations

d. Applications

VI. Trigonometry

    A. Angle Measure

    B. Right Triangle Trigonometric Definition

    C. Unit Circle Trigonometric Definition

    D. Graphs of Trigonometric Functions

    E. Trigonometric Identities

a. Basic, Pythagorean, and Reciprocal

b. Double Angle

   F.  Inverse Trigonometric Functions (arcsin, arccos, arctan)

   G. Trigonometric Equations

   H. Oblique Triangles

a. Law of Sines

b. Law of Cosines