A. Course Number and Title : MTH 130 -
College Algebra
B. Academic Division: Technology and Workforce
Development
C. Department: Math/Physics
Program: Math
D. Lecture Hours: 5
E. Lab Hours: 0
F. Credit Hours: 5
G. Prerequisites: MTH 121 (minimum grade of C-
required).
H. Course Description from Catalog:
A study of algebraic operations and applications including: i) polynomial
operations, rational expressions, exponents, radicals; ii) linear and quadratic
equations, inequalities, absolute value applications ; iii) graphs of elementary
functions and non-functions including inverse functions, combining functions ,
and translating and transforming functions; iv) study of polynomial functions,
including the Fundamental Theorem of Algebra, zeroes of polynomials , rational
functions, partial fractions; v) exp onential and logarithmic functions including
graphs and applications; vi) Gauss-Jordan elimination and Cramer’s Rule.
Successful completion in MTH 121 or a Compass algebra score of 70 or higher.
Mandatory math placement required.
I. Textbook:
1. Title: Algebra and Trigonometry
Author: Michael Sullivan
Publisher: Pearson Prentice Hall
J. Workbook(s) and/or Lab Manual(s): None
K. Purpose of Course: The purpose of this course is
to convey to the student the concepts and skills of college algebra topics.
L. Supplies Needed: Graphing calculator
recommended. (Currently recommending TI-84)
M. Course Outcomes/Assessment Procedures:
The fol lowing Core Learning Outcomes are addressed in this
course:
| Core Learning Outcome |
|
| Communication – Written |
A |
| Communication – Speech |
B |
| Culture and Community |
C |
| Critical Thinking |
D |
| Computer Literacy |
E |
| Computation |
F |
Upon successful completion of this course, the student
should be able to:
| Outcomes |
Assessment
s |
|
| 1. The student will demonstrate the
use of basic algebraic truths by simplifying algebraic expressions and
by performing algebraic operations. |
Tests, Final Exam |
A,D,F |
| 2. The student will solve &
demonstrate the solving of linear , quadratic, absolute value and complex
equations and their applications |
Tests, Final Exam |
A,D,F |
| 3. The student will demonstrate an
analysis of polynomial, rational, and absolute value inequalities . |
Tests, Final Exam |
A,D,F |
| 4. The student will demonstrate
graphing functions and non-functions and inequalities. (This includes
combining functions, inverse functions, translating functions and
transforming functions. |
Tests, Final Exam |
A,D,F |
| 5. The student will demonstrate an
analysis of polynomial and rational functions including finding sign
changes and roots. |
Tests, Final Exam |
A,D,F |
| 6. The student will demonstrate
changing a rational fraction into partial fractions. |
Tests, Final Exam |
A,D,F |
| 7. The student will simplify
expressions containing exponential and/or logarithmic functions. |
Tests, Final Exam |
A,D,F |
| 8. The student will solve equations
and application problems containing exponential and/or logarithmic
functions. |
Tests, Final Exam |
A,D,F |
| 9. The student graph exponential
and/or logarithmic functions. |
Tests, Final Exam |
A,D,F |
| 10. The student will solve a system
of linear equations in several unknowns by algebraic methods, G-J
elimination, and Cramer’s Rule. |
Tests, Final Exam |
A,D,F |
N. Course Content:
1. Rectangular Coordinates
2. Graphs of Equations: Circles
3. Lines
4. Functions
5. The Graph of a Function
6. Properties of Functions
7. Library of Functions
8. Graphing Techniques: Transformations
9. Quadratic Functions
10. Polynomial Functions
11. Rational Functions I
12. Rational Functions II: Analyzing Graphs
13. Polynomial and Rational Inequalities
14. The Real Zeros of a Polynomial Function
15. Complex Zeros ; Fundamental Theorem of Algebra
16. Composite Functions
17. Inverse functions
18. Exponential Functions
19. Logarithmic Functions
20. Properties of Logarithms
21. Logarithmic and Exponential Equations
22. Systems of Linear Equations : Substitution and Elimination
23. System of Linear Equations: Matrices
24. System of Linear Equations: Determinants
25. Partial Fraction Decomposition
26. System of Inequalities
O. Planned Activities: Lecture, note taking,
homework, board work, calculator usage, testing.
P. Grading and Testing Guidelines:
College Grading Scale:
Homework, quizzes, tests and a comprehensive
(departmental) final exam will de termine a student ’s total points. The final
should count between 20% - 30% of the final course grade.
