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- MATH FIELD DAY
- Course Outline for Finite Mathematics
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- Some Proofs of the Existence of Irrational Numbers
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- Complex Numbers,Complex Functions and Contour Integrals
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- MATH 23 FINAL EXAM REVIEW
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- Georgia Performance Standards Framework for Mathematics - Grade 6
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- Description of Mathematics
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- A Tip Sheet on GREATEST COMMON FACTOR
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- BASIC MATHEMATICS
- Quadratic Equations
- Language Arts, Math, Science, Social Studies, Char
- Fractions and Decimals
- ON SOLUTIONS OF LINEAR EQUATIONS
- Math 35 Practice Final
- Solving Equations
- Introduction to Symbolic Computation
- Course Syllabus for Math 935
- Fractions
- Fabulous Fractions
- Archimedean Property and Distribution of Q in R
- Algebra for Calculus
- Math112 Practice Test #2
- College Algebra and Trigonometry
- ALGEBRA 1A TASKS
- Description of Mathematics
- Simplifying Expressions
- Imaginary and Complex Numbers
- Building and Teaching a Math Enhancement
- Math Problems
- Algebra of Matrices Systems of Linear Equations
- Survey of Algebra
- Approximation of irrational numbers
- More about Quadratic Functions
- Long Division
- Algebraic Properties of Matrix Operation
- MATH 101 Intermediate Algebra
- Rational Number Project
- Departmental Syllabus for Finite Mathematics
- WRITTEN HOMEWORK ASSIGNMENT
- Description of Mathematics
- Rationalize Denominators
- Math Proficiency Placement Exam
- linear Equations
- Description of Mathematics & Statistics
- Systems of Linear Equations
- Algebraic Thinking
- Study Sheets - Decimals
- An Overview of Babylonian Mathematics
- Mathematics 115 - College Algebra
- Complex Numbers,Complex Functions and Contour Integrals
- Growing Circles
- Algebra II Course Curriculum
- The Natural Logarithmic Function: Integration
- Rational Expressions
- QUANTITATIVE METHODS
- Basic Facts about Rational Funct
- Statistics
- MAT 1033 FINAL WORKSHOP REVIEW
- Measurements Significant figures
- Pre-Calculus 1
- Compositions and Inverses of Functions

# Course Outline for Finite Mathematics

**Catalog description: An overview of topics in finite
mathematics with applications. Topics
include systems of equations, matrices, linear programming, probability and
statistics**.

(This course is intended primarily for students in non-scientific / non-technical majors. Rutgers

accepts this course as equivalent to their course for liberal arts majors.)

**Prerequisite: MAT135 or MAT141**or appropriate College Level Math placement test score.

**Corequisite: None**

**Required texts/other materials:**

1. Tan, S.T., Finite Mathematics for the Managerial, Life, and Social Sciences, 8

Grove, CA: Brooks/Cole, 2006.

2. Scientific calculator

1. Tan, S.T., Finite Mathematics for the Managerial, Life, and Social Sciences, 8

^{th}ed., PacificGrove, CA: Brooks/Cole, 2006.

2. Scientific calculator

**Last revised:**N/A

**Course coordinator:**Prof. Paul Toppo

**The general course outline consists of five units:
Unit I:
(12 hours) System of Equations and Matrices (2.1-2.7)
A. Solving Systems of Linear Equations
B. Underdetermined and overdetermined systems
C. Solving Systems of Linear Equations using technology
D. Arithmetic of matrices
E. Determinants
F. Inverse matrices
G. Row and column vectors
F. The Leontief Input-Output Model
The student will be able to:
1. Solve systems of linear equations using algebraic techniques.
2. Learn and apply the arithmetic of matrices.
3. Use matrix mechanics to solve systems.
4. Predict the nature, and analyze and interpret the solutions of systems of
linear
equations.
5. Decide whether a system is overdetermined or underdetermined.
6. Apply systems of equations to “real-world” problems.
7. Use determinants to find inverses of matrices.
8. Apply the Leontief method of inputs and outputs to solve problems in
economic.
Exercises from the text selected to reinforce and apply the above concepts to
real-world
situations should be completed. Applications include, but are not limited to,
topics in the
natural and social sciences.**

A project exploring the Leontief economic model of inputs and outputs is provided in the day to day

syllabus.

Specific applications which facilitate student goals include:

▪ revenue from gasoline sales

▪ mixtures

▪ investments

▪ diet planning

▪ Inputs and outputs (Leontief Model)

Specific applications which facilitate student goals include:

▪ revenue from gasoline sales

▪ mixtures

▪ investments

▪ diet planning

▪ Inputs and outputs (Leontief Model)

**Unit II:
(10 hours) Linear Programming (3.1-3.3 and 4.1-4.2)
A. Graphing Systems of Linear Inequalities in Two Variables
B. The feasible region
C. Linear Programming Problems
D. The Simplex Method
The student will be able to:
1. Define and determine corner points and feasible regions.
2. Graph feasible regions.
3. Optimize functions over feasible regions.
4. Define and determine the simplex tableau.
5. Use the simplex method to maximize functions.
6. Use the simplex method to minimize functions.
7. Solve “real-world applications.
Exercises from the text selected to reinforce and apply the above concepts to
real-world
situations should be completed. Applications include, but are not limited to,
finance,
agriculture, mining and advertising.
Specific applications which facilitate student goals include:
▪ shipping schedules and costs
▪ crop planning
▪ allocation of funds
▪ mining production**

**Unit III:
(11 hours) Counting Techniques (Chapter 6)
A. Basic Set theory
B. Set operations
C. Venn Diagrams
D. Fundamental theorem of counting
E. Permutations
F. Combinations
G. Applications
The student will be able to:
1. Define sets, set operations, and the cardinality of a set.
2. Use set theory to solve mathematical and real-world problems.
3. Define and apply counting arguments.
4. Define and apply the multiplication principle.
5. Define permutation.
6. Define combination and distinguish it from a permutation.
7. Apply permutations and combinations to solve counting problems.
Exercises from the text selected to reinforce and apply the above concepts to
real-world
situations should be completed. Applications include, but are not limited to
topics such as
games of chance, management, voting and sports.
Specific applications which facilitate student goals include:**

**▪ surveys**

▪ combination locks

▪ investment options

▪ committee selection

▪ blood typing

▪ quality control

▪ combination locks

▪ investment options

▪ committee selection

▪ blood typing

▪ quality control

**Unit IV:
(12 hours) Probability and Statistics (Chapters 7 and 8)
A. Basic concepts
B. Addition rule
C. Multiplication rule
D. Independent events
E. Conditional probability
F. Bayes’ theorem
G. Binomial probability
H. Applications
I. Samples and populations
J. Organizing data
K. Measures of central tendency
L. Measures of dispersion
M. Continuous random variables and the Normal Distribution
N. The Normal approximation to the Binomial Distribution**

**The student will be able to:**

1. Define and analyze sample spaces and events in the context of set theory.

2. Define probability and enunciate the rules of probability.

3. Use counting techniques to solve problems in probability.

4. Define conditional probabilities.

5. Define independence of events.

6. Interpret conditional probabilities using probability trees.

7. Apply the ideas of events, independence and conditional probabilities to solve

mathematical problems.

8. Learn and use Bayes’ Theorem.

9. Apply probabilistic techniques to “real-world” situations.

10. Define and interpret distributions and random variables.

11. Interpret data geometrically using a histogram.

12. Determine and interpret the significance of the expected value of a random variable.

13. Define and interpret expected value.

14. Discuss in more detail the significance of distributions.

15. Define, interpret and analyze the binomial and normal distributions.

16. Apply statistical methods to “real-world” situations.

1. Define and analyze sample spaces and events in the context of set theory.

2. Define probability and enunciate the rules of probability.

3. Use counting techniques to solve problems in probability.

4. Define conditional probabilities.

5. Define independence of events.

6. Interpret conditional probabilities using probability trees.

7. Apply the ideas of events, independence and conditional probabilities to solve

mathematical problems.

8. Learn and use Bayes’ Theorem.

9. Apply probabilistic techniques to “real-world” situations.

10. Define and interpret distributions and random variables.

11. Interpret data geometrically using a histogram.

12. Determine and interpret the significance of the expected value of a random variable.

13. Define and interpret expected value.

14. Discuss in more detail the significance of distributions.

15. Define, interpret and analyze the binomial and normal distributions.

16. Apply statistical methods to “real-world” situations.

**Exercises from the text selected to reinforce and apply
the above concepts to real-world
situations should be completed. Applications include, but are not limited to
topics in the
natural and social sciences.
A project on the “birthday problem” is included in the day to day syllabus.**

**Specific applications which facilitate student goals include:**

▪ investment analysis

▪ odds in games of chance

▪ sales, premiums and profits

▪ wage, age, grade and weight distributions

Evaluation Of Student Progress:

The following suggested grading scheme may be modified, at the discretion of the instructor.

Tests:

▪ investment analysis

▪ odds in games of chance

▪ sales, premiums and profits

▪ wage, age, grade and weight distributions

Evaluation Of Student Progress:

The following suggested grading scheme may be modified, at the discretion of the instructor.

Tests:

Unit I |
10% |

Units II and III |
10% |

Unit IV |
10% |

Collected Projects (3) |
25% |

In-class Quizzes, group work, etc. |
15% |

Final Exam |
30% |

**Academic Integrity Statement:
Under no circumstance should students knowingly represent the work of another as
one’s own.
Students may not use any unauthorized assistance to complete assignments or
exams,
including but not limited to cheat-sheets, cell phones, text messaging and
copying from another
student. Violations should be reported to the Academic Integrity Committee and
will be
penalized. Please refer to pages 53-54 of the 2005-2006 Student Handbook.**