Discipline: Mathematics Degree Credit  [X]
Non Credit  [ ]
Nondegree Credit  [ ]
Comm Service  [ ]
 

Riverside Community College District
Integrated Course Outline of Record

Mathematics 11


COURSE DESCRIPTION
11 College Algebra Units: 4.00
 
Prerequisite(s): MAT 35: Intermediate Algebra
Topics include algebra review, linear and quadratic equations and inequalities, systems of linear equations and inequalities, functions, exponential and logarithmic functions, permutations and combinations, binomial theorem, and linear programming. 72 hours lecture.
 
SHORT DESCRIPTION FOR CLASS SCHEDULE
College level algebra
 
ADVISORY ENTRY SKILLS
Before entering the course, students will be able to:
  1. Apply the basic operations of algebra on the set of real and complex numbers, polynomials, rational and radical expressions.

  2. Solve linear, rational, quadratic, exponential, radical, logarithmic, absolute value equations, and systems of equations.

  3. Solve inequalities.

  4. Graph equations of lines and linear inequalities; graph basic functions.

  5. Recognize and determine the distinctions between functions and relations; apply basic operations on functions and find inverse functions.

  6. Find terms of sequences. Find sums of series.
STUDENT LEARNING OUTCOMES
 Upon successful completion of the course, students should be able to:

Apply basic concepts of algebra in other fields. Employ the function concept and graphical solutions in applications.

  1. Critical Thinking - Analyze and solve complex problems across a range of academic and everyday contexts
  2. Critical Thinking - Generalize appropriately from specific contexts
  3. Critical Thinking - Integrate knowledge across a range of contexts
  4. Breadth of Knowledge - Use the symbols and vocabulary of mathematics to solve problems and communicate the results
  5. Application of Knowledge - Maintain and transfer academic and technical skills to workplace

Use polynomial functions to model applications.

  1. Critical Thinking - Generalize appropriately from specific contexts
  2. Critical Thinking - Integrate knowledge across a range of contexts
  3. Breadth of Knowledge - Use the symbols and vocabulary of mathematics to solve problems and communicate the results
  4. Application of Knowledge - Maintain and transfer academic and technical skills to workplace

Apply exponential and logarithmic functions in business and humanities.

  1. Critical Thinking - Analyze and solve complex problems across a range of academic and everyday contexts
  2. Critical Thinking - Integrate knowledge across a range of contexts
  3. Critical Thinking - Generalize appropriately from specific contexts
  4. Breadth of Knowledge - Use the symbols and vocabulary of mathematics to solve problems and communicate the results
  5. Application of Knowledge - Maintain and transfer academic and technical skills to workplace

Apply permutations, combinations, and the Binomial Theorem.

  

  1. Critical Thinking - Analyze and solve complex problems across a range of academic and everyday contexts
  2. Critical Thinking - Generalize appropriately from specific contexts
  3. Breadth of Knowledge - Use the symbols and vocabulary of mathematics to solve problems and communicate the results
  4. Application of Knowledge - Maintain and transfer academic and technical skills to workplace
 
COURSE CONTENT
  TOPICS
 

1.   Review of Number Systems
      a.   Simple inequalities; exponents; absolute value and roots
            factoring; reducing; simplifying; quadratic formulas; and
            solving equations
2.   Coordinate Plane
      a.   Rectangular coordinates; distance formula; graphs of relations;
            and complex numbers
3.   Function Concept
      a.   Domain and range; graphs; and operations on functions
4.   Permutations and Combinations
5.   Polynomial and Rational Functions
      a.   First degree polynomials; slope; quadratic functions; and
           graphs of polynomial functions
6.   Transcendental Functions
      a.   Inverse functions; graphs; theorems; exponential functions;
            and logarithmic functions
7.   Solving Systems of Equations
      a.   near programming
8.   Binomial Theorem
 
METHODS OF INSTRUCTION
 Methods of instruction used to achieve student learning outcomes may include, but are not limited to:

  • Class lectures, discussions, and demonstrations of applying basic concepts of algebra in various fields, exponential and logarithmic functions in business and humanities, and permutations, combinations and the Binomial Theorem, employing the function concept and graphical solutions in applications, and using polynomial functions to model applications. 
  • Drills and pattern practices utilizing hand-outs and/or computer-based tools in order to assist the students in mastering the techniques involved in graphing functions and their related applications.
  • Provision and employment of a variety of learning resources such as videos, slides, audio tapes, computer-based tools, manipulatives, and worksheets in order to address multiple learning styles and to reinforce material.
  • Pair and small group activities, discussions, and exercises in order to promote mathematics discovery and enhance problem solving skills.
 
METHODS OF EVALUATION
 Students will be evaluated for progress in and/or mastery of learning outcomes by methods of evaluation which may include, but are not limited to:

  • Written homework assignments and/or computerized homework assignments for correct application of functions.
  • Quizzes and midterm/final examinations for conceptual understanding as well as correct technique and application of graphing functions and their related applications.
  • Classroom discovery activities for content knowledge and conceptual understanding.
ASSIGNMENTS

Required Reading Assignments


Required Writing Assignments


Other Outside-of-Class Assignments
 
COURSE MATERIALS
 All materials used in this course will be periodically reviewed to ensure that they are appropriate for college level instruction. Possible texts include:

  • Larson and Hostetler. College Algebra. 7th ed. Houghton Mifflin, 2006.
  • Gustafson and Frisk . College Algebra . 9th ed. Brooks/Cole, 2006.
  • Bittinger, Beecher, Ellenbogen, and Pena. College Algebra – Graphs and Models, with MathXL software. 2nd ed. Addison-Wesley Publishing Company, 2000.
  • Blitzer. College Algebra. 4th ed. Prentice Hall, 2007.
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