MTH 166 Syllabus


Division:        Arts and Sciences                                                                                                   Date:  February 2014


Curricula in Which Course is Taught: Science, Business, Liberal Arts, General Engineering


Course Number and Title:           MTH 166, Precalculus


Credit Hours:   4                  Hours/Wk Lecture:             Hours/Wk Lab:                    Lec/Lab Comb:   



I.                     Catalog Description:         Presents college algebra, matrices, and algebraic, exponential, logarithmic functions, and Trigonometry. Prerequisites: a placement recommendation for MTH 163 and Algebra I, Algebra II, and Geometry or equivalent. (Credit will not be awarded for both MTH 163 and MTH 166.) Lecture 4 hours per week.


II.                   Relationship of the course to curricula objectives in which it is taught: 


This course covers mathematical principles essential to the understanding of scientific method and principles, and lays a foundation for more advanced mathematical studies.


III.                  Required background: 


Placement recommendation for MTH 166 or completion of Algebra I, Algebra II,   Geometry or equivalent.


IV.               Course Content:


A.     Systems of linear equations and inequalities

B.     Functions and their graphs

C.    Polynomial and rational functions

D.    Exponential and logarithmic functions

E.     Matrices and determinants

F.   Trigonometry

G.  Analytic Trigonometry

H.  Additional Topics in Trigonometry


V.  Learner Outcomes


The student will:

VI.  Evaluation

A.     Be able to graph and solve systems of equations and linear equalities.

B.     Be able to solve linear programming application problems

C.    Identify and graph functions

D.    Simplify combinations and composition of functions

E.     Discover inverse functions and solve application problems using mathematical models.

F.     Identify and distinguishing between polynomial and rational functions

G.    Be able to perform polynomial and synthetic division

H.     Be able to find the roots of polynomial and rational functions.

I.         Solve problems using partial fraction decomposition

J.      Identify and graph exponential and logarithmic functions

K.     Identify and solve exponential and logarithmic equations.

L.      Solve applications involving exponential and logarithmic models

M.    Use matrices and determinant to solve systems of linear equations.

N.   Use angles to model and solve real-life problems.

O.  Be able to evaluate Trigonometric functions

P.  Learn Trigonometric Identities

Q.  Learn to graph Trigonometric functions

R.  Be able to solve Trigonometric equations

S.  Learn Law of Sines and Cosines

T.  Learn vectors in the Plane and Dot Products.

Students will demonstrate competence through some combination of tests, quizzes, graded homework, and a comprehensive final exam as determined by the faculty member.


Faculty are required to have at least one major form of evaluation for each content area of the course.


              VII.      This course supports the following objectives:


DCC Educational Objectives:

Critical Thinking

Quantitative Reasoning