Course Description: Students will be able to perform arithmetic operations on rational expressions; solve and graph inequalities, absolute value, functions, and systems of linear equations; evaluate, simplify, and rationalize radical expressions and complex numbers; solve quadratics equations by completing the square and using the quadratic formula; and solve and graph inverse, exponential, and logarithmic functions.

Course Prepared by: Dana Lee Ling

MS 099 Intermediate Algebra is designed so that students meet five days each week. One hour each on Monday, Wednesday, and Friday; one and half hours Tuesday and Thursday; for a total of six contact hours per week during a sixteen week term. The course is four credits. The instructor is compensated for six contact hours (the equivalent of two sections) per week and one preparation.

Purpose of Course

Degree Requirement: ______
Degree Elective: ______
Certificate: ______
Remedial: ___X___
Other: ______

Prerequisite Course:A grade of "C" or better in MS 096, by placement, or permission of instructor.

Date approved by Committee:__________
Date approved by President:__________

1. Course Objectives or Learning Outcomes
   1. Program student learning outcomes
      Students will be able to:
      • define mathematical concepts, calculate quantities, estimate solutions, solve problems, represent and interpret mathematical information graphically, and communicate mathematical thoughts and ideas.
   2. Course student learning outcomes
      Students will be able to:
      1. perform arithmetic operations on rational expressions.
      2. solve and graph inequalities, absolute value, functions, and systems of linear equations.
      3. evaluate, simplify, and rationalize radical expressions and complex numbers.
      4. solve quadratics equations by completing the square and using the quadratic formula.
      5. solve and graph inverse, exponential, and logarithmic functions.
   3. Specific student learning outcomes
      Students will be able to:
      1. perform arithmetic operations on rational expressions.
         1. simplify, add, subtract, multiply, divide, rational expressions
         2. find common denominators for rational expressions
         3. solve equations involving rational and complex expressions
      2. solve and graph inequalities, absolute value, functions, and systems of linear equations.
         1. solve equations with compound inequalities and absolute values
         2. graph functions and relations
         3. add, subtract, multiply, and divide functions
         4. solve systems of linear equations graphically, by substitution, and elimination
         5. solving systems of linear equations with more than two variables
         6. solve systems of linear inequalities
      3. evaluate, simplify, and rationalize radical expressions and complex numbers.
         1. simplify, evaluate, and perform arithmetics operations on radical expressions and functions
         2. find the domain for radical expressions
         3. evaluate rational exponents
         4. solve radical equations
         5. perform arithmetic operations with complex numbers
      4. solve quadratics equations by completing the square and using the quadratic formula.
         1. solve quadratic equations by completing the square including imaginary solutions
         2. use the quadratic formula to solve quadratic equations
         3. graph quadratic equations and functions
         4. solve non-linear inequalities
      5. solve and graph inverse, exponential, and logarithmic functions
         1. find the composition of two functions
         2. use composition to find the inverse of a function
         3. solve and graph exponential equations and functions
         4. solve and graph logarithmic functions
         5. solve applications using natural and common logarithms
2. Course content
   1. Rational Expressions and Equations Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions with the Same Denominator. Adding and Subtracting Rational Expressions with Different Denominators. Complex Rational Expressions. Solving Equations Containing Rational Expressions. Applications with Rational Expressions.
   2. More on Inequalities, Absolute Value, and Functions Compound Inequalities. Equations Involving Absolute Value. Inequalities Involving Absolute Value. Functions and Graphing. Function Operations.
   3. Systems of Equations Solving Systems of Linear Equations Graphically. Solving Systems of Linear Equations by Substitution. Solving Systems of Linear Equations by Elimination. Solving Systems of Linear Equations in Three Variables. Solving Systems of Linear Equations Using Matrices. Cramer's Rule. Solving Systems of Linear Inequalities.
   4. Rational Exponents, Radicals, and Complex Numbers Radical Expressions and Functions. Rational Exponents. Multiplying, Dividing, and Simplifying Radicals. Adding, Subtracting, and Multiplying Radical Expressions. Rationalizing Numerators and Denominators of Radical Expressions. Radical Equations and Problem Solving. Complex Numbers.
   5. Quadratic Equations Completing the Square. Solving Quadratic Equations Using the Quadratic Formula. Solving Equations That Are Quadratic in Form. Graphing Quadratic Functions. Solving Nonlinear Inequalities.
   6. Exponential and Logarithmic Functions Composite and Inverse Functions. Exponential Functions. Logarithmic Functions. Properties of Logarithms. Common and Natural Logarithms. Exponential and Logarithmic Equations with Applications.
3. Textbook:
   
   Elementary and Intermediate Algebra, 2/E [or direct successor editions] 2007 ISBN: 0-321-36854-1 Carson, Gillespie, Jordan Addison Wesley
4. Required course materials: Scientific calculator.
5. Reference materials: As per instructor needs.
6. Instructional costs: Standard instructional materials such as markers, erasers, paper.
7. Methods of Instruction: The course will be taught by lecture, class discussion. Sections that can access or meet in a computer laboratory are recommended to utilize spreadsheet software to assist students in visualizing equations through graphing tools. Quizzes, tests, and a final examination will provide measurement of achievement of course objectives. Grading as per the policy in the current college catalog.
8. Evaluation: None. No credit-by-examination.
9. Attendance policy: As per the current college catalog.
10. Academic honesty policy: As per the current college catalog.

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