College of Micronesia-FSM
P. 0. Box 159 Kolonia
Pohnpei FM 96941
*Course Outline*
Course Title
Department and Number
*College Algebra*
*Division of Natural Science and Mathematics MS 100*
*Course Description:* Students will be able to graph and solve
equations, functions, and inequalities including those with complex
roots; analyze functions, find inverse functions, and perform
compositions of functions; sketch and analyze graphs of polynomials and
mathematical models of variation; analyze rational functions and
determine asymptotes; recognize graphs of conic expressions.
*Course Prepared by:* Dana Lee Ling
Hours per Week
No. of Week
Total Hours
Credits
Lecture 3
x
16
x
48/16 =
3
Laboratory
Workshop
Study
Total Semester Credits: =
3
Semester
Purpose of Course
Degree Requirement: ____X____
Degree Elective: ______
Certificate: ______
Remedial: ______
Other: ______
*Prerequisite Course:*A grade of "C" or better in MS 098, by placement,
or permission of instructor.
*Date approved by Committee:*__________
*Date approved by President:*__________
1. Course Objectives or Learning Outcomes
1. Program student learning outcomes
*Students will be able to:*
* define mathematical concepts, calculate quantities,
estimate solutions, solve problems, represent and
interpret mathematical information graphically, and
communicate mathematical thoughts and ideas.
2. Course student learning outcomes
*Students will be able to:*
1. Graph and solve linear and quadratic equations and
inequalities including those with complex roots.
2. Evaluate and analyze functions and their graphs
including combinations and compositions of functions.
3. Sketch and analyze graphs of polynomial functions and
mathematical models of variation.
4. Determine the domains of rational functions, find
asymtotes, and sketch the graphs of rational functions.
3. Specific student learning outcomes
*Students will be able to:*
1. Graph and solve linear and quadratic equations and
inequalities including those with complex roots.
1. Sketch the graph of an equation
2. Solve linear, quadratic, polynomial, and radical
equations.
3. Perform operations with complex numbers.
4. Solve linear, quadratic, polynomial, and radical
inequalities.
2. Evaluate and analyze functions and their graphs
including combinations and compositions of functions.
1. Find and use slopes of lines to write and graph
linear equations in two variables.
2. Evaluate functions and find their domains.
3. Analyze the graphs of functions.
4. Find arithmetic combinations and compositions of
functions.
5. Identify inverse functions graphically and find
inverse functions algebraically.
3. Sketch and analyze graphs of polynomial functions, and
make predictions with mathematical models of variation.
1. Sketch and analyze graphs of polynomial functions
2. Use long division to divide polynomials
3. Write mathematical models for direct, inverse,
and joint variation.
4. Determine the domains of rational functions, find
asymptotes, and sketch the graphs of rational functions.
1. Find the domains of rational functions.
2. Find the horizontal and vertical asymptotes for
graphs of rational functions.
3. Recognize graphs of circles, ellipses,
parabolas, and hyperbolas.
2. Course content
1. Linear and quadratic equations
1. Graphing
2. Linear, quadratic, polynomial, and radical equations
and their solutions.
3. Operations with complex numbers.
4. Linear, quadratic, polynomial, and radical
inequalities and their solutions.
2. Functions
1. Linear equations, slope, intercept.
2. Functions and their domains.
3. Graphs of functions.
4. Arithmetic combinations and compositions of functions.
5. Inverse functions.
3. Polynomial equations including degree three and higher.
1. Graphs of polynomial functions and the analysis of
functions from graphs
2. Polynomial long division
3. Mathematical models for direct, inverse, and joint
variation.
4. Domains of rational functions, asymtotes, and graphs of
rational functions.
1. Domains of rational functions.
2. Horizontal and vertical asymptotes for graphs of
rational functions.
3. Graphs of circles, ellipses, parabolas, and hyperbolas.
3. Textbook:
Algebra and Trigonometry, Sixth edition, ©2004, 0618317821. Larson
& Hostetler [or direct successor edition], Houghton Mifflin
<http://www.hmco.com>. 0618317821_lg (4K)
<http://college.hmco.com/mathematics/larson/algebra_trig/6e/instructors/index.html>
4. Required course materials: Scientific calculator.
5. Reference materials: As per instructor needs.
6. Instructional costs: Standard instructional materials such as
markers, erasers, paper.
7. Methods of Instruction: The course will be taught by lecture,
class discussion. Sections that can access or meet in a computer
laboratory are recommended to utilize LiveMath™
<http://www.livemath.com> and spreadsheet
<http://www.openoffice.org> software to assist students in
visualizing equations through graphing tools. Quizzes, tests, and
a final examination will provide measurement of achievement of
course objectives. Grading as per the policy in the current
college catalog.
8. Evaluation: None. No credit-by-examination.
9. Attendance policy: As per the current college catalog.
10. Academic honesty policy: As per the current college catalog.