KASKASKIA COLLEGE

MATH 143 Finite Mathematics

INSTRUCTOR: ERIC HOFELICH

Office hours:  TBA

OFFICE LOCATION: ST. – 116

OFFICE PHONE: 545-3359

PLACEMENT REQUIREMENTS:  Math 134 College Algebra or permission of the instructor

COURSE DESCRIPTION:  An introduction to non-calculus portions of mathematics needed by students majoring in management, life and social sciences. Topics will include graphing, algebra of matrices and use in solving systems of equations and inequalities, simplex method of solving linear programming problems, formulas of finance, sets and subsets and probability.

TEXTBOOKFinite Mathematics,  by Waner-Costenoble (3rd Edition)

EVALUATION: Five 50-minute exams will be given during the semester. 100 pts. each.

                            Test 1  Chapter 2 & 3   Linear Equations and Matricies
                           
Test 2  Chapter 4  Linear Programming
                        
   Test 3  Chapter 5   Mathematics of Finance
                            Test 4  Chapter 6   Sets and Counting
                           
Test 5  Chapter 7   Probability

Homework and announced/unannounced quizzes 100 pts.

The lowest exam score may be dropped

Thus, TOTAL POINTS FOR THE CLASS would be 500 pts.

Grades will be assigned as follows:

450 – 500 A, 400 – 449 B, 350 – 399 C, 300 – 349 D, below 300 F

CHEATING POLICY:  If caught cheating in any way, the student will receive an F for the final grade.

ATTENDANCE POLICY: To be successful in a math course, attendance would be very important, almost critical. If more than two weeks of classes are missed without a valid excuse ( death in family, hospitalization, nuclear blast, etc.) I reserve the right to withdraw you from class with an F. If you know in advance that you cannot attend class on a certain day, you may possibly get my prior approval. There are no make-up exams or quizzes. If you come to class late, you will not receive extra time for exams or quizzes.  You must take the final exam (test 5) to have your lowest test score dropped.

 

 

Learning Outcomes

At the end of this course students will be able to:

  1. Solve systems of linear equations algebraically using Guassian Elimination
  2. Use elementary row operation and matrices to solve a system of linear equations
  3. Perform operations with matrices
  4. Use the inverse of a matrix to solve a system of equations
  5. Solve a linear programming problem using the graphical approach
  6. Use the Simplex Method to solve a linear programming problem
  7. Use Venn Diagrams to understand Set Theory
  8. Apply the Multiplication Principle of Counting
  9. Find the number of permutations of n objects taken m at a time
  10. Find the number of distinguishable permutations of n objects
  11. Find the number of combinations of n elements taken m at a time
  12. Use the Binomial Theorem to expand powers of binomial expressions
  13. Find the probability of an event
  14. Apply Bayes' Theorem to compute conditional probabilities
  15. Find the frequency of a random variable
  16. Construct a frequency distribution
  17. Find the mean, median, and mode of a collection of numbers or frequency distribution
  18. Calculate the variance and standard deviation of a collection of numbers or frequency distribution
  19. Use the uniform and normal probability density function
  20. Use the Standard Normal Tables (z-scores)
  21. Find the nth state of a Markov chain
  22. Find a stable matrix for a regular Markov chain
  23. Write an (absorbing) transition matrix in standard form
  24. Find a stable matrix for an absorbing Markov chain
  25. Determine simple interest and compound interest
  26. Find present value
  27. Determine continuously compounded interest
  28. Create an increasing and decreasing annuity
  29. Determine a monthly installment
  30. Create an amortization table