College of MicronesiaFSM
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: This course is designed to be the first, collegelevel math course that a student will take. It is intended to be a foundation course for further math education. The course focuses on skillbuilding in algebra and providing an introduction to mathematical abstractness, yet allowing for reallife application and investigation. A variety of instructional styles will be incorporated: lecture, group work, activitybased labs, and computer aided instruction.
Course Prepared by: John Gann
State/Campus: Pohnpei/National
 Hours per Week   No. of Week   Total Hours   Semester Credits 
Lecture  3  x  16  x  48/16  =  3 
Laboratory 
Workshop 
Study 
     Total Semester Credits:  =  3 
Purpose of Course
Degree Requirement: ___X___
Degree Elective: ______
Certificate: ______
Remedial: ______
Other: ______
Prerequisite Course:"C" grade in MS 098 or by placement.
Date approved by Committee: 01 February 2000
Date approved by President: 01 February 2000
 General Objectives: Students will acquire the basic mathematical tools that will enable them to develop longrange intellectual abilities involving:
 engaging in substantial mathematical problem solving
 learning mathematics through modeling realworld situations
 expanding their mathematical reasoning skills
 developing the view that mathematics is a growing discipline, interrelated with human culture, and understand its connections to other disciplines
 acquiring the ability to read, write, listen to, and speak mathematics
 using appropriate technology to enhance their mathematical thinking and understanding and to solve mathematical problems and judge the reasonableness of their results and
 developing mathematical power by engaging in rich experiences that encourage independent, nontrivial exploration in mathematics, develop and reinforce tenacity and confidence in their abilities to use mathematics, and inspire them to pursue the study of mathematics and related disciplines as related to their personal lifetime goals.
 Specific Objectives: Students will demonstrate acquisition of basic mathematical tools listed in the Course Content category below. The students will demonstrate by successful (70% accuracy of better) performance in:
 Classroom discussion and practice of the mathematical tools
 Homework used to reinforce classroom discussion
 Projects (including computerized projects) used to expand on and synthesize the tools discussed
 Multiple tests or quizzes (as a minimum, one per chapter) covering the course content
 A MidTerm and Final that will be comprehensive assessments of students' understanding of the course content.
 Course Content:
 Work With Equations and Inequalities
 Solve linear equations and their applications
 Solve quadratic equations and their applications
 Using factoring
 Using complete the square
 Using quadratic formula
 Introduce complex numbers
 Meaning of equality
 Addition/subtraction
 Multiplication/division
 Solve other types of equations and their applications:
 containing absolute values
 containing radicals
 containing rational expressions
 Solve linear inequalities and their applications
 Solve quadratic inequalities and their applications
 Solve other types of inequalities and their applications
 containing absolute values
 containing rational expressions
 Graph solutions of equations and inequalities on a real numbered line
 As technology becomes available, explore the graphs of the above equations and inequalities
 Work with Functions and their Graphs
 Know how to graph lines in a plane and calculate slope
 Using the slopeintercept form: y = m x + b
 Using the pointslope form: y  y_{1} = m (x  x_{1})
 Using the standard form: A x + B y + C = 0
 Define the meaning of a function as interpreted in the following ways:
 As a black box with input, process, and unique output
 As a formula containing algebraic rules
 As a graph with independent and dependent variables
 As piecewise defined portions of other functions
 Know the meaning of, and be able to find, the implied domain and range of a function
 Analyze graphs of a function to include:
 Increasing, decreasing, and constant functions, or portions of a function
 Using the vertical line test for a function
 Testing for even and odd functions
Demonstrate the shifting (translation), reflecting, and stretching of functions as shown by their graphs
 Know how to perform operations on functions:
 Addition/subtraction
 Multiplication/division
 Composition
 Find the inverse of a function, if possible
 Explore applications of functions
 Explore Polynomial Functions in More Depth
 Define a general polynomial function and derive the linear and quadratic functions from that definition
 Know how to use Synthetic Division
 Know the Standard Form of a quadratic function and how to use it to graph the function
 Be able to convert from the polynomial form to the standard form of a quadratic function
 Know the meaning of and how to find zeros (roots) of a polynomial function
 Know and be able to use the Fundamental Theorem of Algebra
 to find real (nonimaginary) solutions
 to find complex solutions
 to find a mixture of real (nonimaginary) and complex solutions
 Explore higher order polynomial functions and their graphs
 Explore applications of polynomial functions especially the meanings of direct and inverse variations
 Work with Rational Functions
 Recognize their form
 Find vertical and horizontal asymptotes
 Graph rational functions
 Perform partial fraction expansion
 Introduce the Conic Sections
 Introduce Exponential and Logarithmic Functions

Required Textbook:
See: http://www.comfsm.fm/~dleeling/department/textbooks.html#ms100
 Required Course Materials: The following is a minimum. Additional materials may also be used
 Calculator with four basic arithmetic operations and square root
 Computer tutorial that accompanies the text (if computers are available)
 Reference Materials:
Crossroads in Mathematics: Standards for Introductory College Mathematics Before Calculus, American Mathematical Association of TwoYear Colleges (AMATYC), 1995
 Instructional Cost: Costs will be associated with printing hand outs for student use, buying and/or creating overhead transparencies, instructorannotated textbooks/answer keys/test generation tools, printed tests/quizzes for assessments, computers and computerassisted instructional tools if there are none currently available, and instructorgenerated teaching aids/models. The actual costs to the different campuses of COMFSM will vary depending on what is currently on hand.
 Methods of Instruction: The instructor, in addition to lecture, will:
 incorporate appropriate levels of technology (computer, calculator, etc.).
 foster interactive learning through student writing, reading, speaking, and collaborative activities so that students can learn to work effectively in groups and communicate both orally and in writing.
 actively involve students in meaningful mathematics problems that build upon their experiences and build connections with other disciplines that are relevant to the students.
 model the use of multiple approaches: numerical, graphical symbolic, and verbal, to help students learn a variety of techniques for solving problems.
 provide learning activities, including projects, that promote independent thinking and develop student confidence in their ability to access and use mathematics and other technical information independently.
 Evaluation: To advance to the next level of mathematics, the student must demonstrate proficiency to at least the "C" level. The student will be evaluated in a variety of ways including: homework, classwork, work in small groups, projects, quizzes, a midterm test and a comprehensive final test. Grades will be assigned according to the scale outlined in the COMFSM catalog.
 Credit by Examination: None.
 Attendance Policy: As presented in the COMFSM catalog.