# Finite Mathematics

**I. Course Prefix/Number: **
MAT 143

** Course Name: **
Finite Mathematics

** Credits: **
4 (4 lecture; 0 lab)

**II. Prerequisite **

MAT 140 with a grade of C or better or an appropriate score on the Mathematics Assessment Test.

**III. Course (Catalog) Description **

This course is an introduction to finite mathematics through the study of sets, logic, functions, matrices, counting and probability theory, linear programming, game theory, and the mathematics of finance with applications to the field of social sciences and business. Computers are used for computational aspects of Finite Mathematics.

**IV. Learning Objectives **

1. Use matrix methods to solve system of equations and inequalities.

2. Formulate maximum and minimum linear optimization problems by writing a system of linear equations or inequalities from a written description.

3. Solve systems of linear inequalities algebraically, graphically, and using the simplex method.

4. Solve mathematics of finance problems.

5. Perform operations on sets, including unions, intersections, differences, and complements.

6. Solve applications problems using Venn Diagrams.

7. Calculate basic probabilities using classical methods, conditional probability, and Bayes Theorem.

8. Calculate probabilities using the concepts of counting theory and interpret the results in a summary sentence.

9. Use statistical procedures to analyze data, including measures of center and variation, and the normal distribution.

10. Apply matrices to varied applications in business and the social sciences through such techniques as the simplex method, Leontief matrices, Markov chains, and/or game theory

11. Demonstrate effective use of technology to facilitate problem solving.

2. Formulate maximum and minimum linear optimization problems by writing a system of linear equations or inequalities from a written description.

3. Solve systems of linear inequalities algebraically, graphically, and using the simplex method.

4. Solve mathematics of finance problems.

5. Perform operations on sets, including unions, intersections, differences, and complements.

6. Solve applications problems using Venn Diagrams.

7. Calculate basic probabilities using classical methods, conditional probability, and Bayes Theorem.

8. Calculate probabilities using the concepts of counting theory and interpret the results in a summary sentence.

9. Use statistical procedures to analyze data, including measures of center and variation, and the normal distribution.

10. Apply matrices to varied applications in business and the social sciences through such techniques as the simplex method, Leontief matrices, Markov chains, and/or game theory

11. Demonstrate effective use of technology to facilitate problem solving.

**V. Academic Integrity **

Students and employees at Oakton Community College are required to demonstrate academic integrity
and follow Oakton's Code of Academic Conduct. This code prohibits:

• cheating,

• plagiarism (turning in work not written by you, or lacking proper citation),

• falsification and fabrication (lying or distorting the truth),

• helping others to cheat,

• unauthorized changes on official documents,

• pretending to be someone else or having someone else pretend to be you,

• making or accepting bribes, special favors, or threats, and

• any other behavior that violates academic integrity.

There are serious consequences to violations of the academic integrity policy. Oakton's policies and procedures provide students a fair hearing if a complaint is made against you. If you are found to have violated the policy, the minimum penalty is failure on the assignment and, a disciplinary record will be established and kept on file in the office of the Vice President for Student Affairs for a period of 3 years.

Details of the Code of Academic Conduct can be found in the Student Handbook.

• cheating,

• plagiarism (turning in work not written by you, or lacking proper citation),

• falsification and fabrication (lying or distorting the truth),

• helping others to cheat,

• unauthorized changes on official documents,

• pretending to be someone else or having someone else pretend to be you,

• making or accepting bribes, special favors, or threats, and

• any other behavior that violates academic integrity.

There are serious consequences to violations of the academic integrity policy. Oakton's policies and procedures provide students a fair hearing if a complaint is made against you. If you are found to have violated the policy, the minimum penalty is failure on the assignment and, a disciplinary record will be established and kept on file in the office of the Vice President for Student Affairs for a period of 3 years.

Details of the Code of Academic Conduct can be found in the Student Handbook.

**VI. Sequence of Topics **

A. Matrix algebra.

B. Solving systems of linear equations by matrix methods.

C. Systems of inequalities and linear programming .

D. Application of matrices including simplex method, Markov chains, Leontief matrices, and game theory.

E. Set theory, logic and Boolean Algebra.

F. Counting and probability theory.

G. Mathematics of finance.

H. Basic statistical concepts.

I. Mathematical modeling.

B. Solving systems of linear equations by matrix methods.

C. Systems of inequalities and linear programming .

D. Application of matrices including simplex method, Markov chains, Leontief matrices, and game theory.

E. Set theory, logic and Boolean Algebra.

F. Counting and probability theory.

G. Mathematics of finance.

H. Basic statistical concepts.

I. Mathematical modeling.

**VII. Methods of Instruction **

(To be completed by instructor.)

Methods of presentation can include lectures, discussion, demonstration, experimentation, audio-visual aids, group work, and regularly assigned homework. Calculators / computers will be used when appropriate.

Course may be taught as face-to-face, media-based, hybrid or online course.

Methods of presentation can include lectures, discussion, demonstration, experimentation, audio-visual aids, group work, and regularly assigned homework. Calculators / computers will be used when appropriate.

Course may be taught as face-to-face, media-based, hybrid or online course.

**VIII. Course Practices Required **

(To be completed by instructor.)

Course may be taught as face-to-face, media-based, hybrid or online course.

Course may be taught as face-to-face, media-based, hybrid or online course.

**IX. Instructional Materials **

**Note:**Current textbook information for each course and section is available on Oakton's Schedule of Classes.

Note: Current textbook information for each course and section is available on Oakton's Schedule of Classes. Within the Schedule of Classes, textbooks can be found by clicking on an individual course section and looking for the words "View Book Information".

Textbooks can also be found at our Mathematics Textbooks page.

**X. Methods of Evaluating Student Progress **

(To be completed by instructor.)

Evaluation methods can include graded homework, chapter or major tests, quizzes, individual or group projects, calculator / computer projects and a final examination.

Evaluation methods can include graded homework, chapter or major tests, quizzes, individual or group projects, calculator / computer projects and a final examination.

**XI. Other Course Information **

Individual instructors will establish and announce specific policies regarding attendance, due dates and make-up work, incomplete grades, etc.

If you have a documented learning, psychological, or physical disability you may be entitled to reasonable academic accommodations or services. To request accommodations or services, contact the Access and Disability Resource Center at the Des Plaines or Skokie campus. All students are expected to fulfill essential course requirements. The College will not waive any essential skill or requirement of a course or degree program.

If you have a documented learning, psychological, or physical disability you may be entitled to reasonable academic accommodations or services. To request accommodations or services, contact the Access and Disability Resource Center at the Des Plaines or Skokie campus. All students are expected to fulfill essential course requirements. The College will not waive any essential skill or requirement of a course or degree program.