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:
  1. Employ matrices to solve system of equations.
  2. Apply matrices to real world problems.
  3. Apply linear programming by using the Simplex Method to solve maximum and minimum problems.
  4. Organize sets of data and calculate a variety of statistics for a given set of data (e.g. mean, median, variance).
  5. Count the number of possible outcomes for various sequences of events, including permutations and combinations.
  6. Identify the sample space for a probability experiment and determine probabilities for events of a given probability experiment.
  7. Apply the tools of logic to practical situations.
 
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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