TRI-COUNTY TECHNICAL COLLEGE

COURSE SYLLABUS

Course Prefix & Number:    MAT 122

Course Title:                          Finite College Mathematics

Class  Hours                        Lab Hours                     Credits

Per week:  3.0                    Per Week:  ___               Awarded:  3.0

Catalog  Description: This course includes the following topics:  logic; sets; Venn diagrams; counting problems; probability; matrices; systems of equations; linear programming, including the simplex method and applications; graphs and networks.

Entry Level Skills:  Intermediate Algebra

Pre-requisites:  Satisfactory placement score

Co-requisites:  None

Text(s)/Required Materials:  Finite Mathematics by Lial, Greenwell and Ritchey, Addison Wesley, 8th Edition, 2005.

Equipment:  Scientific calculator.  Microcomputers (available on campus).

Course Competencies and Objectives/Major Course Topics:

Unit I: Systems of Equations and Matrices

Upon completion of this unit (Sections 1.1-3 and 2.1-5), the student should be able to

   1.      apply a mathematical model to a given problem;

   2.      construct a mathematical model to describe a given situation;

   3.      use linear regression and correlation to develop a mathematical model;

   4.      solve a system of equations using the echelon method;

   5.      write an augmented matrix describing a system of equations and solve the

             system of  equations using Gaussian elimination and/or Gauss-Jordan

             elimination;

   6.      add, subtract, and multiply matrices;

   7.      find the inverse of a matrix if it exists;

   8.      log on a computer;

9.              use a computer to solve math problems;

Unit 2:  Linear Programming

Upon completion of this unit (Sections 3.1-3 and 4.1-4), a student should be able to:

   1.      graph a system of linear inequalities and interpret the results;

   2.      solve linear programming (L.P.) problems graphically;

   3.       use the simplex tableau to solve an L.P. problem in standard form;

   4.      solve an L.P. problem with mixed constraints;

   5.      solve an L.P. problem using the duel;       

Unit 3:  Sets and Probability

Upon completion of this unit (Sections 7.1-6), a student should be able to:

   1.      apply the logical concepts of “and” and  “or” to solve problems using sets;

   2.      use the concepts of intersection and union of sets to solve problems;

   3.      apply Venn Diagrams to solve problems;

   4.      solve permutation and combination problems;

   5.      determine the probability of an event;

   6.      use the compliment in probability problems;

   7.      determine the probability of conditional events;

   8.      determine the independence of events;

   9.       apply Bayes' formula;

  10.     use Bernoulli trials in appropriate probability problems;

Unit 4:  Graphs, Networks and Applications

Upon completion of this unit (Sections 2.6 and several textbook supplements), a student should be able to:

   1.      given a graph determine all vertices and edges;

   2.      find the matrix that describes a graph and vice versa;

   3.      determine dominance in graphs and matrices;

   4.      construct and apply communication digraphs;

   5.      use spanning trees and networks in solving problems;

   6.      use matrices to describe a Leontief input/output model in economics;

   7.      apply matrices to applications in routing and contagion;

   8.      apply linear programming to the solution of work problems;

   9.      apply probability to the solution of word problems.

Additional Information:

A.    The following materials are available in the Oconee Hall Learning Lab (OC 300):

1.          Applied Finite Math by Anton and Kolman, 1982.

2.          Finite Math:  From Sets to Game Theory by Hackert, 1974.

3.          Using Finite Mathematics by Newmark, 1982.

4.          Finite Mathematics by Spence, 1981.

5.          Applied Finite Mathematics by Gilbert and Koehler, 1984

6.          Finite Mathematics for the Managerial, Social & Life Sciences by

        Hardy, 1984.

7.          Finite Math by Gallin, 1984.

8.          Finite Mathematics with Applications for Business and Social Sciences

by Mizrahi and Sullivan, 1976.

9.          Discrete Mathematics by Johnsonbaugh, 1984.

          10.    NCTM Math Disk:  Mean Vari Stdr Devia II, Volume 172.

          11.    NCTM Math Disk:  Statistics II, Volume 172.

          12.    NCTM Math Disk:  Volume 254:

                   a.  Matrix Operations (A-013)

                   b.  Permutations - Combinations (A-007)

                   c.  Binomial Distribution (A-008)

13.    Intermediate Algebra Disk by Munem and Tschirhart:

                   a.  Arithmetic Progressions (10.1)

                   b.  Finding kth terms (10.3)

          14.    NCTM Math Disk II:  Coin Toss (A-006; Dec., 84: Pg. 16)

          15.    Georgia Tech:  City Walk (Volume 254; A-025)

          16.    TRUE-BASIC:  ALGEBRA II

          17.    TRUE BASIC:  TRUE STAT

          18.    MINITAB DISK:

B.  The following texts are available in the library:

      1.  Fundamentals of Mathematics by Richardson, 1963.

      2.  Mathematics for Liberal Arts by Kline, 1967.

      3.  Graphs, Models, and Finite Math by Malkevitch and Meyer, 1974.

      4.  Mathematics for Liberal Arts Students by Olive, 1973.  

Grade Calculation Method:        

Four Exams                                                      = 70-80%

Homework                                                        =  5-10% 

Final                                                                  = 15-20%

Total                                                                       100 %

Prepared by  Hubert McClure                       Date revised:_04/11/06______