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Effective: Summer 2015
MATH 105INTERMEDIATE ALGEBRA5 Unit(s)

Prerequisites: Prerequisite: Satisfactory score on the mathematics placement test or MATH 220.
Advisory: Advisory: Not open to students with credit in MATH 108.
Grade Type: Letter Grade, the student may select Pass/No Pass
Not Repeatable.
FHGE: Non-GE Transferable: None
5 hours lecture. (60 hours total per quarter)

Student Learning Outcomes -
  • Apply appropriate function in a contextualized situation
  • Identify and describe the basic shape of the graph of the following functions: absolute value, rational, radical, quadratic, cubic, exponential, and logarithmic
  • Simplify the following expressions: rational, radical, polynomial, exponential, and logarithmic
  • Solve algebraically, graphically, or numerically the following: linear inequalities and absolute value, rational, radical, polynomial, exponential, and logarithmic equations
Description -
Quadratic, polynomial, rational, radical, exponential and logarithmic functions and expressions with an emphasis on graphing and applications.

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
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.

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.
Methods of Evaluation -
  1. Homework
  2. Quizzes
  3. Hour Exams
  4. Proctored Comprehensive Final Exam
  5. Class Participation
  6. Project
  7. Class Activities
Representative Text(s) -
Bittinger, Marvin Elementary and Intermediate Algebra+MyMathLab Package.Boston:Pearson Custom Publishing, 2012.
Beoga.net Inc. Intermediate Algebra. V4. 2014.
When taught on Foothill Global Access: lectures, handouts, and assignments are delivered via e-mail and/or the world wide web.

Disciplines -
Mathematics
 
Method of Instruction -
  1. Lecture
  2. Discussion
  3. Cooperative learning exercises
 
Lab Content -
Not applicable.
 
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.