Palomar Logo Effective Term: Fall 2007
Status: Historical
 
PALOMAR COLLEGE
 COURSE OUTLINE FOR CREDIT COURSE
 
  • Courses numbered 1 - 49 are remedial or college preparatory courses which do not apply toward an A. A. Degree and are not intended for transfer.
  • Courses numbered 50-99 apply toward an AA Degree, but are not intended for transfer.
  • Courses numbered 100 and higher apply toward an AA Degree and/or are intended for transfer to a four-year college or university.
 
Course Number and Title: MATH 110 College Algebra
 

Unit Value: 4  

Lecture Hours Per Week: 4  

Lab Hours Per Week:  

Lecture/Lab Hours Per Week:  

 

Grading Basis: Grade/Pass/No Pass
 
Basic Skills Requirements: Appropriate Language and/or Computational Skills.
 
Requisite(s)
To satisfy a prerequisite, the student must have earned a letter grade of A, B, C or P(Pass) in the prerequisite course, unless otherwise stated.
Prerequisite:
A minimum grade of 'C' in MATH 56 or MATH 60 or eligibility determined through the math placement process
Corequisite:
None
Prerequisite: Completion of, or concurrent enrollment in
None
Recommended Preparation:
None
Limitation on Enrollment:
None
Catalog Description:
Study of the behavior and characteristics of functions from graphic, numeric, analytic and applied perspectives, including general polynomial functions, rational functions, exponential and logarithmic functions, and sequences. Systems of equations in several variables with an emphasis in matrix solutions.
 
Specific Course Objectives:
Upon successful completion of the course the student will be able to:
  1. Analyze functions from a numeric, graphic or analytic perspective, and use functions in solving application problems.
  2. Analyze Polynomial functions, find their real and complex zeros graphically and/or analytically, and use these concepts in solving application problems.
  3. Analyze Rational functions, find their zeros and asymptotes graphically and/or analytically, and use these concepts in solving application problems.
  4. Analyze Exponential and Logarithmic functions and use them in solving application problems.
  5. Analyze the graphs of parabolas, ellipses and hyperbolas, their foci, eccentricity and directrix, and use them in solving application problems.
  6. Solve systems of linear and nonlinear equations analytically and/or graphically and use them in application problems.
  7. Solve systems of linear and nonlinear inequalities analytically and/or graphically and use them in application problems.
  8. Use the concepts of matrices and determinants in solving systems of linear or nonlinear equations.
  9. Analyze the elementary sequences or series analytically and/or graphically, and use them in solving application problems.
  10. Apply the Binomial Theorem to expand whole number powers of binomials.
  11. Apply critical thinking and quantitative reasoning skills to mathematical problem solving and related areas of endeavor.
 
Methods of Instruction:
Methods of Instruction may include, but are not limited to, the following:
  1. Lecture
 
Content in Terms of Specific Body of Knowledge:

  1. Functions and Graphs
    1. Introduction to Functions
    2. Linear Functions
    3. Quadratic Functions
    4. Properties of Graphs
    5. The Algebra of Functions
    6. Average Rate of Change
  2. Polynomial and Rational Functions
    1. The Remainder Theorem and the Factor Theorem
    2. Polynomial Functions of Higher Degree
    3. Real and Complex Zeros of Polynomial Functions
    4. The Fundamental Theorem of Algebra
    5. Graphs of Rational Functions and Their Applications
  3.  Exponential and Logarithmic Functions
    1. Inverse Functions
    2. Exponential Functions and Their Applications
    3. Logarithmic Functions and Their Applications
    4. Exponential and Logarithmic Equations
    5. Exponential Growth and Decay
  4. Topics in Analytic Geometry
    1. Parabolas
    2. Ellipses
    3. Hyperbolas
  5. Systems of Equatiions
    1. Systems of Linear Equations in More Than Two Variables
    2. Nonlinear Systems of Equations
    3. Partial Fractions
    4. Inequalities in Two Variables and Systems of Inequalities
    5. Linear Programming (optional)
  6. Matrices and Determinants
    1. Gaussian Elimination Method
    2. The Algebra of Matrices
    3. The Inverse of a Matrix
    4. Determinants
    5. Cramer's Rule
  7. Sequences, Series, and Binomial Theorem
    1. Infinite Sequences and Summation Notation
    2. Arithmetic Sequences and Series
    3. Geometric Sequences and Series
    4. Mathematical Induction (optional)
    5. The Binomial Theorem
  8. Additional topics may be included at instructor's discretion.
Textbooks/Resources:
May Include Textbooks, Manuals, Periodicals, Software, and Other Resources
  1. Aufmann, Richard N., Vernon C. Barker, and Richard D. Nation. College Algebra. 6th ed. Boston, MA: Houghton-Mifflin Publishing Co., 2008.
  2. Larson, Roland E., Robert P. Hostetler, and Anne V. Hodgkins. College Algebra, Concepts and Models. 5th ed. Boston, MA: Houghton-Mifflin Publishing Co., 2005.
  3. Aufmann, Richard N., Richard D. Nation and Daniel K. Clegg. Applied College Algebra. Boston, MA: Houghton-Mifflin Publishing Co., 2004.
  4. Larson, Roland E. and Robert P. Hostetler. College Algebra. 7th ed. Boston, MA: Houghton-Mifflin Publishing Co., 2007.
Required Reading:
Reading of the text required by the instructor.
 
Suggested Reading:
Additional reading may be included at instructor's discretion.
 
Critical Thinking:
Students are expected to apply critical thinking and quantitative reasoning skills to mathematical problem solving and related areas of endeavor.
 
Required Writing:
Problem-solving exercises on homework assignments and written tests are more appropriate. Homework assignments may require the students to write out detailed solutions at least one paragraph in length. Some essay questions may be assigned when appropriate. These essays will be of 1 to 3 pages in length. Examinations may also require the students to write solutions to problems. These will be 1 to 10 pages in length. All writing assignments will require the use of correct grammar and punctuation. In addition, students may be required to write reports from one paragraph to several pages explaining concepts or explaining and interpreting solutions to non-routine or applied problems.
 
Outside Assignments:
Students are expected to spend a minimum of three hours per unit per week in class and on outside assignments, prorated for short-term classes.

Instructors may require students to work exercises found in the textbook.
 
Methods of Assessment:
Methods of Assessment may include, but are not limited to, the following:
  • Exams/Tests
  • Homework
  • Papers
  • Quizzes
 
Open Entry/Open Exit:
No, course is not offered as open entry/open exit.
 
Is Course Repeatable for Reason(s) Other Than Deficient Grade? No
 
Contact Person: Mathews T. Chakkanakuzhi