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.

**TEXTBOOK**: __Finite 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

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:

- Solve systems of linear equations algebraically using Guassian Elimination
- Use elementary row operation and matrices to solve a system of linear equations
- Perform operations with matrices
- Use the inverse of a matrix to solve a system of equations
- Solve a linear programming problem using the graphical approach
- Use the Simplex Method to solve a linear programming problem
- Use Venn Diagrams to understand Set Theory
- Apply the Multiplication Principle of Counting
- Find the number of permutations of n objects taken m at a time
- Find the number of distinguishable permutations of n objects
- Find the number of combinations of n elements taken m at a time
- Use the Binomial Theorem to expand powers of binomial expressions
- Find the probability of an event
- Apply Bayes' Theorem to compute conditional probabilities
- Find the frequency of a random variable
- Construct a frequency distribution
- Find the mean, median, and mode of a collection of numbers or frequency distribution
- Calculate the variance and standard deviation of a collection of numbers or frequency distribution
- Use the uniform and normal probability density function
- Use the Standard Normal Tables (z-scores)
- Find the nth state of a Markov chain
- Find a stable matrix for a regular Markov chain
- Write an (absorbing) transition matrix in standard form
- Find a stable matrix for an absorbing Markov chain
- Determine simple interest and compound interest
- Find present value
- Determine continuously compounded interest
- Create an increasing and decreasing annuity
- Determine a monthly installment
- Create an amortization table