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


         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

         Two-Variable 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