College of DuPage
FY Fall/15
ACTIVE COURSE FILE
Curricular Area:
Mathematics
Course Number: 0482
Course Title: Foundations for College Mathematics II
Semester Credit Hours: 5 Lecture Hours: 5 Lab Hours: 0
Clinical Hours: 0
Changes from the present course must be accompanied by a yellow
Course Revision or Deletion Form.
Course description to appear in catalog:
Topics from elementary algebra and intermediate algebra: operations
with algebraic fractions, solving equations with algebraic fractions,
radicals and rational exponents, complex numbers, solving quadratic
equations, variation, solving equations and inequalities involving absolute
value, function notation, graphing functions, inverse functions, exponential
and logarithmic functions, applications, and problem solving.
Prerequisite:
Math 0481 (or college equivalent) with a grade of C or better or a
qualifying score on the mathematics placement test
A.
General Course Objectives
Upon successful completion of this course students should be able to
do the following:
1.
2.
3.
4.
5.
6.
7.
8.
9.
Demonstrate the ability to reduce rational expressions
Demonstrate the ability to add, subtract, multiply, and divide
rational expressions
Express complex rational expressions in simplest form
Solve equations containing rational expressions
Solve equations and formulas containing rational expressions
for a designated variable
Use rational expressions in problem solving
Convert a radical expression into an exponential expression
Convert an exponential expression into a radical expression
Express radical expressions in simplest form
10. Demonstrate the ability to add, subtract, multiply, and divide
radical expressions
11. Solve equations that contain radicals
12. Demonstrate the ability to add, subtract, multiply, and divide
complex numbers
13. Use radicals and complex numbers in problem solving
14. Solve quadratic equations using factoring, completing the
square, and using the quadratic formula
15. Use the discriminant to describe the nature of the roots
16. Solve equations that are in quadratic form
17. Use quadratic equations in problem solving
18. Solve direct, inverse, and joint variation problems
19. Solve absolute value equations and inequalities
20. Define, illustrate, and recognize relations and functions
21. Identify the domain and range of relations from a graph
22. Demonstrate the ability to use function notation
23. Construct the graphs of linear, quadratic, square root, and
absolute value functions
24. Construct the graphs of step functions in the context of
applied problems
25. Find the inverse of a linear function
26. Evaluate an exponential function and construct its graph
27. Evaluate a logarithmic function and construct its graph
28. Convert an exponential expression to logarithmic form
29. Convert a logarithmic expression to exponential form
30. Use functions in problem solving
B.
Topical Outline
An integrated review of topics from Math 0481 and 0482 will be
included throughout the course.
1. Algebraic fractions
a. Operations with fractions
1) Reducing fractions to lowest terms and finding equivalent
fractions
2) Multiplication and division of fractions
3) Addition and subtraction of like fractions
4) Addition and subtraction of fractions with different
denominators
5) Simplification of complex fractions
b. Solution of algebraic equations involving fractions
1) Algebraic equations with one variable
Linear
Factorable quadratics
2) Literal equations
3) Applications
2. Rational exponents and radicals
a. Definition of rational exponents and their radical form
b. Simplification of radicals
c. Equations involving radicals
d. Complex numbers
e. Applications
3. Quadratic equations
a. Solution by factoring
b. Solution by completing the square
c. The quadratic formula and the use of the discriminant
d. Equations in quadratic form
e. Applications including the Pythagorean Theorem
4. Variation
a. Direct
b. Inverse
c. Joint
d. Applications
5. Absolute value equations and inequalities
6. Functions
a. Definition, domain, and range
b. Function notation
c. Graphing functions
1) Linear functions
2) Quadratic functions
3) Absolute value functions
4) Step functions
d. Inverse functions
e. Exponential functions
f. Logarithmic functions and their properties
g. Applications
a)
b)
C.
Methods of Evaluating Students
Students will be evaluated by unit tests which include questions and
applications from 0481 and 0482. Students will also be evaluated by a
comprehensive final examination which includes topics from Math 0481
and Math 0482, constituting a minimum of 20% of the final grade in the
course. Evaluation may also include quizzes, homework, and projects, all
at the discretion of the instructor.
_______________________________
Initiator
Date
_______________________________
Sponsor
Date
_______________________________
Division Dean
Date
Textbook for Math 0482 (Fall 2015 Only)
Title:
Beginning and Intermediate Algebra, Third Edition
Author:
Messersmith (sherri.messersmith@gmail.com)
Publisher:
McGraw-Hill
Copyright:
2012
The following chapters and sections of the textbook should be covered.
Review:
Section A7 recommended
Chapter 8:
All sections
Chapter 9:
Sections 9.1 & 9.2
Chapter 10:
All sections
Chapter 11:
All sections
Chapter 4:
Section 4.6
Chapter 12:
All Sections (in 12.5, composition is optional)
Chapter 13:
Section 13.1 – 13.4
Textbook for Math 0482 (Beginning Spring 2016)
Title:
Beginning and Intermediate Algebra with P.O.W.E.R.
Learning, 4e
Author:
Messersmith (sherri.messersmith@gmail.com)
Publisher:
McGraw-Hill
Copyright:
2016
The following chapters and sections of the textbook should be covered.
Review:
Section A7 Factoring polynomials is recommended. It is
available online.
Chapter 8:
All sections
Chapter 9:
Sections 9.1 & 9.2
Chapter 10:
All sections
Chapter 11:
All sections
Chapter 4:
Section 4.6
Chapter 12:
All Sections (in 12.5, composition is optional)
Chapter 13:
Section 13.1 – 13.4
Use of Technology in Math 0482
Calculators are not allowed for use on exams or quizzes in math 0482.
Videos for Math 0482
Instructional videos for Math 0482 can be viewed in the Math Assistance
Center and in the Library. They are also available for check-out in the
Library.
In all Mathematics courses, students with a documented learning disability
that specifically requires a calculator as determined by Health Services, will
be allowed to use a basic calculator for all test/quiz questions where
arithmetic calculations are not the main objective. The specific disability
must be verified with Health Services before the accommodation can be
made.