MTH 163
Syllabus
Division: Arts
and Sciences Date: January, 2014
Curricula
in Which Course is Taught:
Science, Business, Liberal Arts, General
Engineering
Course
Number and Title: MTH
163, Precalculus I
Credit
Hours: 3 Hours/Wk
Lecture: Hours/Wk Lab:
Lec/Lab
Comb:
I.
Catalog
Description: Presents college algebra, matrices,
and algebraic, exponential, and logarithmic functions. 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
3 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 163 or completion of MTE 9.
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
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. Utilize inverse functions and solve
application problems using mathematical models. F. Identify and distinguish 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. |
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