Southern State Community College
Curriculum Committee – November 2015
MATH 1141 – College Algebra
Page 1 of 5
I.
COURSE TITLE:
OTM: 14495
College Algebra
COURSE NUMBER:
1141
CATALOG PREFIX: MATH
II.
PREREQUISITE: One of the following:
- 3-4 years of college preparatory math with a grade of B or
above
- Appropriate score on Accuplacer
- Math 118 or MATH 1118
- ACT Math Score of 22 or above
- SAT Math Score of 520 or above
III.
CREDIT HOURS: 3
LABORATORY HOURS: 0
IV.
COURSE DESCRIPTION:
LECTURE HOURS: 3
OBSERVATION HOURS: 0
This course emphasizes the use of algebra and functions in problem solving and
modeling. Appropriate use of technology and applying mathematics to real-world
situations is emphasized. Topics include linear, quadratic, polynomial, rational, radical,
exponential, logarithmic, and piecewise equations and functions. Students whose
programs recommend a college algebra course or who need to prepare for calculus should
take this course.
V.
GRADING:
Grading will follow policy in catalog.
A
B
C
D
F
VI.
90 – 100
80 – 89
70 – 79
60 – 69
0 – 59
ADOPTED TEXT(S):
Algebra & Trigonometry
10th Edition,
Sullivan.
Pearson, 2016.
ISBN 978-0-321-99859-0
MATH 1141 – College Algebra
Page 2 of 5
VII.
COURSE OBJECTIVES:
At the completion of this course the student will be able to:
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
[TMM001 obj. 1.1] Represent functions verbally, numerically, graphically and
algebraically. (polynomial, rational, radical, exponential, logarithmic, piece-wise)
[TMM001 obj. 1.2] Identify a function from an algebraic or graphical form.
[TMM001 obj. 1.3] Perform transformations on functions.(translations,
reflections, stretching, shrinking)
[TMM001 obj. 1.4] Perform operations with functions including composition.
[TMM001 obj. 1.5] Identify properties of functions including: intercepts,
domain, range, intervals where it is increasing or decreasing, vertex of a
quadratic, asymptotes, one-to-one, and symmetry. (polynomial, rational, radical,
exponential, logarithmic, piece-wise)
[TMM001 obj. 1.6] Find inverses of functions and recognize relationships
between a function and its inverse. (polynomial, rational, radical, exponential,
logarithmic)
[TMM001 obj. 1.7] Use the Remainder and Factor Theorems for polynomial
functions.
[TMM001 obj. 1.8] Use functions to model a variety of real-world problem
solving applications. (polynomial, rational, radical, exponential, logarithmic,
piece-wise)
[TMM001 obj. 2.1] Understand the relationship between an equation and a
function including the relationship between solutions of an equation, zeros of a
function, and x-intercepts of a graph.
[TMM001 obj. 2.2] Determine symmetry algebraically and graphically.
[TMM001 obj.2.3] Solve polynomial, rational, exponential, and logarithmic
equations including applications.
[TMM001 obj.2.4] Review as needed solutions of linear systems of equations
using graphs, substitution, or elimination including applications.
[TMM001 obj. 2.5] Solve polynomial and rational inequalities graphically and
algebraically.
VIII. COURSE METHODOLOGY:
The course design provides instruction and materials to support the course objectives.
Classes may consist of a variety of means to accomplish this including but not limiting
to: lectures, class discussions, small group projects, supplemental materials, and outside
assignments. Practice is an important part of the learning process. For every one hour of
class time, two additional hours of study time should be expected.
MATH 1141 – College Algebra
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IX. COURSE OUTLINE:
Chapter R:
R.1
R.2
R.3
R.4
R.5
R.6
R.7
R.8
Review
Real Numbers
Algebra Essentials
Geometry Essentials
Polynomials
Factoring Polynomials
Synthetic Division
Rational Expressions
nth Roots; Rational Exponents
Chapter 1:
1.1
1.2
1.3
Chapter 2:
2.1
2.2
2.3
2.4
2.5
Equations and Inequalities
Linear Equations
(obj. 11)
Quadratic Equations
(obj. 11)
Quadratic Equations in the Complex
Number System
(obj. 11)
Radical Equations: Equations Quadratic in Form;
Factorable Equations
(obj. 11)
Solving Inequalities
(Review as needed)
Equations and Inequalities Involving
Absolute Value
optional
Applications: Interest, Mixture, Uniform
Motion, Constant Rate Jobs
(minimum of two types)
(obj. 11)
Graphs
Distance and Midpoint Formulas
(Review as needed)
Graphs of Equations;intercepts;symmetry (obj. 10)
Lines
(Review as needed)
Circles
optional
Variation
optional
Chapter 3:
3.1
3.2
3.3
3.4
3.5
3.6
Functions and Their Graphs
Functions
The Graph of a Function
Properties of Functions
Library of Functions; Piecewise Functions
Graphing Techniques: Transformations
Mathematical Models; Building Functions
(obj. 1, 2, 4, 5)
(obj. 1, 2)
(obj. 5, 10)
(obj. 1, 5)
(obj. 3)
(obj. 8)
Chapter 4:
4.1
Linear and quadratic Functions
Linear Functions and their properties
(obj. 1, 5, 8)
1.4
1.5
1.6
1.7
(Review as needed)
(Review as needed)
(Review as needed)
(Review as needed)
(Review as needed)
(Review as needed)
(Review as needed)
(Review as needed)
MATH 1141 – College Algebra
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X.
4.2
4.3
4.4
4.5
Building Linear Functions from data
Quadratic Functions and their properties
Build quadratic models
Inequalities involving Quadratic functions
(obj. 8)
(obj. 1, 5, 8)
(obj. 8)
Optional
Chapter 5:
5.1
5.4
5.5
Polynomial ans Rational Functions
Polynomial Functions and models
Polynomial and Rational Inequalities
The Real Zeros of a Polynomial Function
(obj. 1,2, 5)
(obj. 13)
(obj. 9)
Chapter 6:
6.1
6.2
6.3
6.4
6.5
6.6
6.8
Exponential and Logarithmic Functions
Composite Functions
(obj. 4)
Inverse Functions
( obj. 6)
Exponential Functions
(obj.1, 8, 11)
Logarithmic Functions
(obj. 1, 8, 11)
Properties of Logarithms
Logarithmic and Exponential Equations (obj. 11)
Exp. Growth and Decay: Newton’s Law; Logistic Models (obj. 8, 11)
Chapter 12
12.1
Systems of Equations
Systems of Linear Equations: Substitution and Elimination (obj. 12)
OTHER REQUIRED BOOKS, SOFTWARE AND MATERIALS:
Students must have a scientific calculator, but they may not use any calculator that is
classified as a symbolic manipulator.
XI.
EVALUATION:
Instructor will distribute method of evaluation to students.
XII.
SPECIFIC MANAGEMENT REQUIREMENTS:
Suggested pace for the course:
Week 1:
Review, Chapter 1
Week 2:
Chapter 1
Week 3:
Chapter 2
Week 4:
Chapter 3
MATH 1141 – College Algebra
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Week 5:
Chapter 3
Week 6:
Chapter 3
Week 7:
Chapter 4
Week 8:
Chapter 4
Week 9:
Chapter 5
Week 10:
Chapter 5
Week 11:
Chapter 5
Week 12:
Chapter 6
Week 13:
Chapter 6
Week 14:
Chapter 6
Week 15:
Chapter 12
Week 16:
Finals
XIII. OTHER INFORMATION:
FERPA: Students need to understand that your work may be seen by others. Others
may see your work when being distributed, during group project work, or if it is chosen
for demonstration purposes.
Students also need to know that there is a strong possibility that your work may be
submitted to other entities for the purpose of plagiarism checks.
DISABILITIES: Students with disabilities may contact the Disabilities Service Office,
Central Campus.