  
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:
 Identify and graph inequalities, absolute value, rational, radical, polynomial, exponential, and logarithmic functions
 Simplify rational, radical, polynomial, exponential, and logarithmic expressions
 Solve both analytically and graphically inequalities, absolute value, rational, radical, polynomial, exponential, and logarithmic equations
 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)
 Discuss mathematical problems and write solutions in accurate mathematical language and notation
 interpret mathematical solutions

Special Facilities and/or Equipment  
  Graphing Calculator
 When taught via Foothill Global Access: ongoing access to computer with email software and capabilities, email address, Javascript enabled Internet browsing software.

Course Content (Body of knowledge)  
  Identify and graph
 visually identify graphs of different functions
 inequalities
 Inequality notation
 Interval notation
 Graphical notation
 absolute value
 domain and range
 notation
 rational functions
 domain and range
 radical function
 domain and range
 polynomials functions
 domain and range
 quadratic
 standard form
 vertex form
 exponential functions
 domain and range
 growth rate
 logarithmic function
 domain and range
 inverse function
 Simplify
 rational expressions
 factoring
 long division
 operations (add, subtract, multiple, and divide) on rational
 radical expressions
 conjugate
 properties of radical
 operations on radical
 polynomial expressions
 factoring
 completing the square
 operations on polynomials
 exponential expressions
 properties of exponents
 operations on exponents
 logarithmic expressions
 properties of logarithmic
 operations on logarithmic
 Solve both analytically and graphically
 linear inequalities
 single inequalities
 compound inequalities
 absolute value equations
 rational equations
 least common denominator
 radical equations
 power rule
 polynomial equations
 zero product rule
 quadratic formula
 exponential equations
 similar bases
 inverse
 logarithmic properties
 logarithmic equations
 inverse
 converting to exponential
 logarithmic property of equality
 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
 Calculator/computer utilities for evaluating problems involving optimization
 Calculator/computer utilities for determining mathematical models using regression
 Calculator/computer utilities for finding intersection points for graphs of two functions
 Calculator/computer utilities for finding zeros or roots of functions
 Discuss mathematical problems and write solutions in accurate mathematical language and notation.
 Application problems from other disciplines
 Proper notation
 Interpret mathematical solutions.
 Explain the significance of solutions to application problems.

Methods of Evaluation  
  Homework
 Quizzes
 Hour Exams
 Proctored Comprehensive Final Exam
 Class Participation
 Project
 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 email and/or the world wide web.

Disciplines  
 Mathematics


Method of Instruction  
  Lecture
 Discussion
 Cooperative learning exercises


Lab Content  
 Not applicable.


Types and/or Examples of Required Reading, Writing and Outside of Class Assignments  
  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.
 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.
 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.
 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.
