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