MTH
158 Syllabus
Division: Arts and
Sciences Date: February 2014
Curricula in Which Course is Taught: Liberal Arts, Social
Science and Humanities
Course Number and Title: MTH 158, College Algebra
Credit Hours: 3 Hours/Wk
Lecture: 3 Hours/Wk Lab: Lec/Lab Comb: 3
I.
Catalog Description: Covers
the structure of complex number systems, polynomials, rational expressions,
graphing, systems of equations and inequalities and functions, quadratic and
rational equations and inequalities.
II.
Relationship of
the course to curricula objectives in which it is taught:
This course covers mathematical principles essential to the
understanding of algebra, and lays a foundation for more advanced mathematical
studies.
III.
Required Background: Requires
completion of BSK 1 through MTE 6 as prerequisites.
IV.
Course Content:
·
Linear Equations in Two Variables 
·
Functions 
·
Analyzing Graphs of Functions 
·
A Library of Functions 
·
Shifting, Reflecting, and Stretching Graphs 
·
Combinations of Functions 
·
Inverse Functions 

·
Quadratic Functions and Models 
·
Polynomial Functions of Higher Degree 
·
Polynomial and Synthetic Division 
·
Zeros of Polynomial Functions 

·
Exponential Functions and Their Graphs 
·
Logarithmic Functions and Their Graphs 
·
Properties of Logarithms 
·
Exponential and Logarithmic Equations 
·
Exponential and Logarithmic Models 

·
Linear and Nonlinear Systems of Equations 
·
TwoVariable Linear Systems 
·
Multivariable Linear Systems 

·
Matrices and Systems of Equations 
·
Operations with Matrices 
·
The Inverse of a Square Matrix 
·
The Determinant of a Square Matrix 

·
Sequences and Series 
·
Arithmetic Sequences and Partial Sums 
·
Geometric Sequences and Series 
V.
Learner
Outcomes: After finishing MTH 158, the student will be able to:
1)
solve linear, absolute value and quadratic
equations.
2)
identify graphs of common functions
3)
graph linear, absolute value, exponential, quadratic,
logarithmic and square root functions.
4)
solve polynomials using factor and the rational root
theorems
5)
write the equations of lines that are parallel or perpendicular to given
line.
6)
solve systems of equations using substitution,
elimination, and matrices
7)
find the nth term of arithmetic and geometric
sequences.
VI.
Evaluation:
Students
will be given pencil and paper examinations on course topics. Further, students will be required to
complete a research project on a topic in mathematics on the history of
mathematics evaluation tasks.
VII. This course
supports the following objectives:
DCC Educational
Objectives:
Critical
Thinking
Quantitative Reasoning