Foothill CollegeApproved Course Outlines

Physical Sciences, Mathematics & Engineering Division
MATH 105INTERMEDIATE ALGEBRASummer 2014
5 hours lecture.5 Units

Total Quarter Learning Hours: 60 (Total of All Lecture, Lecture/Lab, and Lab hours X 12)
 
 Lecture Hours: 5 Lab Hours: Lecture/Lab:
 Note: If Lab hours are specified, see item 10. Lab Content below.

Repeatability -
Statement: Not Repeatable.

Status -
 Course Status: ActiveGrading: Letter Grade with P/NP option
 Degree Status: ApplicableCredit Status: Credit
 Degree or Certificate Requirement: AA Degree,   AS Degree,   Foothill GE
 GE Status:

Articulation Office Information -
 Transferability: NoneValidation: 11/27/12;11/16/13

1. Description -
Quadratic, polynomial, rational, radical, exponential and logarithmic functions and expressions with an emphasis on graphing and applications.
Prerequisite: Satisfactory score on the mathematics placement test or MATH 220 or 224.
Co-requisite: None
Advisory: Not open to students with credit in MATH 108.

2. Course Objectives -
The student will be able to:
  1. Identify and graph inequalities, absolute value, rational, radical, polynomial, exponential, and logarithmic functions
  2. Simplify rational, radical, polynomial, exponential, and logarithmic expressions
  3. Solve both analytically and graphically inequalities, absolute value, rational, radical, polynomial, exponential, and logarithmic equations
  4. Use technology such as graphing calculators and/or computer algebra system to assist in solving problems involving any of the topics in (A) through (C)
  5. Discuss mathematical problems and write solutions in accurate mathematical language and notation
  6. interpret mathematical solutions
3. Special Facilities and/or Equipment -
  1. Graphing Calculator
  2. When taught via Foothill Global Access: on-going access to computer with e-mail software and capabilities, e-mail address, Java-script enabled Internet browsing software.

4. Course Content (Body of knowledge) -
  1. Identify and graph
    1. visually identify graphs of different functions
    2. inequalities
      1. Inequality notation
      2. Interval notation
      3. Graphical notation
    3. absolute value
      1. domain and range
      2. notation
    4. rational functions
      1. domain and range
    5. radical function
      1. domain and range
    6. polynomials functions
      1. domain and range
      2. quadratic
        1. standard form
        2. vertex form
    7. exponential functions
      1. domain and range
      2. growth rate
    8. logarithmic function
      1. domain and range
      2. inverse function
  2. Simplify
    1. rational expressions
      1. factoring
      2. long division
      3. operations (add, subtract, multiple, and divide) on rational
    2. radical expressions
      1. conjugate
      2. properties of radical
      3. operations on radical
    3. polynomial expressions
      1. factoring
      2. completing the square
      3. operations on polynomials
    4. exponential expressions
      1. properties of exponents
      2. operations on exponents
    5. logarithmic expressions
      1. properties of logarithmic
      2. operations on logarithmic
  3. Solve both analytically and graphically
    1. linear inequalities
      1. single inequalities
      2. compound inequalities
    2. absolute value equations
    3. rational equations
      1. least common denominator
    4. radical equations
      1. power rule
    5. polynomial equations
      1. zero product rule
      2. quadratic formula
    6. exponential equations
      1. similar bases
      2. inverse
      3. logarithmic properties
    7. logarithmic equations
      1. inverse
      2. converting to exponential
      3. logarithmic property of equality
  4. Use technology such as graphing calculators and/or computer software to assist in solving problems involving any of the topics in (A) through (C) above such as
    1. Calculator/computer utilities for evaluating problems involving optimization
    2. Calculator/computer utilities for determining mathematical models using regression
    3. Calculator/computer utilities for finding intersection points for graphs of two functions
    4. Calculator/computer utilities for finding zeros or roots of functions
  5. Discuss mathematical problems and write solutions in accurate mathematical language and notation.
    1. Application problems from other disciplines
    2. Proper notation
  6. Interpret mathematical solutions.
    1. Explain the significance of solutions to application problems.
5. Repeatability - Moved to header area.
 
6. Methods of Evaluation -
  1. Homework
  2. Quizzes
  3. Hour Exams
  4. Proctored Comprehensive Final Exam
  5. Class Participation
  6. Project
  7. Class Activities
7. Representative Text(s) -
Bittinger, Marvin Elementary and Intermediate Algebra+MyMathLab Package.Boston:Pearson Custom Publishing, 2012.
When taught on Foothill Global Access: lectures, handouts, and assignments are delivered via e-mail and/or the world wide web.

8. Disciplines -
Mathematics
 
9. Method of Instruction -
  1. Lecture
  2. Discussion
  3. Cooperative learning exercises
 
10. Lab Content -
Not applicable.
 
11. Honors Description - No longer used. Integrated into main description section.
 
12. Types and/or Examples of Required Reading, Writing and Outside of Class Assignments -
  1. Homework Problems: Homework problems covering subject matter from text and related material ranging from 30 - 60 problems per week. Students will need to employ critical thinking in order to complete assignments.
  2. Lecture: Five hours per week of lecture covering subject matter from text and related material. Reading and study of the textbook, related materials and notes.
  3. Projects: Student projects covering subject matter from textbook and related materials. Projects will require students to discuss mathematical problems,write solutions in accurate mathematical language and notation and interpret mathematical solutions. Projects may require the use of a computer algebra system such as Mathematica or MATLAB.
  4. Worksheets: Problems and activities covering the subject matter. Such problems and activities will require students to think critically. Such worksheets may be completed both inside and/or outside of class.
13. Need/Justification -
This course meets the Math Proficiency Requirement for all AA and AS degrees at Foothill College


Course status: Active
Last updated: 2014-02-25 15:03:20


Foothill CollegeApproved Course Outlines