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

Riverside Community College District
Integrated Course Outline of Record

Mathematics 4


COURSE DESCRIPTION
4 Finite Mathematics Units: 3.00
 
Prerequisite(s): MAT 35: Intermediate Algebra
Mathematics for majors in economics, business management, biological and social sciences. Topics include: system of equations, linear programming, matrices, probabilities, permutations and combinations, statistics and logic. 54 hours lecture.
 
SHORT DESCRIPTION FOR CLASS SCHEDULE
Mathematics for majors in economics, business management, biological and social sciences.
 
ADVISORY ENTRY SKILLS
None.

STUDENT LEARNING OUTCOMES
 Upon successful completion of the course, students should be able to:

Employ matrices to solve system of equations.

  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

Apply matrices to real world problems.

  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

Apply linear programming by using the Simplex Method to solve maximum and minimum problems.

  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

Organize sets of data and calculate a variety of statistics for a given set of data (e.g. mean, median, variance).

  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

Count the number of possible outcomes for various sequences of events, including permutations and combinations.

  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

Identify the sample space for a probability experiment and determine probabilities for events of a given probability experiment.

  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 - Analyze experimental results and draw reasonable conclusions from them
  5. Breadth of Knowledge - Use the symbols and vocabulary of mathematics to solve problems and communicate the results
  6. Application of Knowledge - Maintain and transfer academic and technical skills to workplace

Apply the tools of logic to practical situations.

  1. Critical Thinking - Analyze and solve complex problems across a range of academic and everyday contexts
  2. Critical Thinking - Construct sound arguments and evaluate arguments of others
  3. Application of Knowledge - Maintain and transfer academic and technical skills to workplace
 
COURSE CONTENT
  TOPICS
 
  1. Matrices with applications
    a.   System of equations, matrix algebra, inverse of a matrix,  Business and economics models.
  2. Linear Programming
    a.   Linear inequalities, the simplex method, applications.
  3. Counting Techniques
    a.   Sets, multiplication principle, permutation, combinations,the  binomial theorem.
  4. Probability
    a.   Sample spaces, probability of an event, conditional probability, independent events, expectation.
  5. Statistics
    a.   Frequency tables, graphical representation of data, measures of central tendency,
    measures of dispersion, normal distribution.
  6. Logic
    a.   Propositions, truth tables, implications, tautologies.
 
METHODS OF INSTRUCTION
 Methods of instruction used to achieve student learning outcomes may include, but are not limited to:

  • Class lectures/discussions/demonstrations
  • Drills and pattern practices
  • Videos/films/slides/audio tapes/computer assisted instruction
  • Pair and small group activities/discussion
  • Class exercises
  • Handouts
  • Cooperative learning tasks
  • Online/distance education
 
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:

  • Oral reports/presentations/performance
  • Written reports/presentations
  • Quizzes/examinations
  • Written assignments
  • Class and individual projects
  • Final examination

 
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:

  • Goldstein, Schneider and Siegel. Finite Matematics and its Applications. 7th ed. Prentice Hall, 2001.
  • Lial, Greenwell, Miller. Finite Mathematics. 6th ed. Addison Wesley, 1998.
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