Download MATH 070 - Department of Mathematics

San Jose State University
Department of Mathematics
Math 70
Finite Mathematics
Catalog Description
Systems of linear equations and inequalities, matrices, linear programming, set theory,
probability theory, applications to business and to social sciences. 3 units.
Prerequisite
Satisfaction of the ELM requirement.
Textbook
Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences, 11th
Edition, by Raymond A. Barnett, Michael R. Ziegler and Karl E. Byleen,
Pearson/Prentice Hall, 2008
References
A Student Solutions Manual by Barnett, Ziegler, and Byleen.
Course Objectives
To learn counting principles, permutations, combinations, probability, probability
distribution, expectation, conditional probability, Bayes’ formula, matrices, and their
applications, solving systems of linear equations and linear inequalities, linear
programming, computing interest, present and future value of annuities.
Student Outcomes
A student should be able to
1.
2.
3.
4.
5.
6.
7.
8.
9.
Use the multiplication principle for counting
Compute permutations and combinations of objects with applications
Compute probabilities and conditional probabilities
Know Bayes’ formula and applications
Do operations on matrices
Compute the inverse of a matrix
Solve linear systems using matrices
Solve and graph systems of linear inequalities
Find solutions of linear programming problems geometrically
10. Find maximum and minimum of a linear function under constraints using the
simplex method
11. Compute simple interest, compound interest and annuities.
Outcome Assessment
Three (50-minute) exams and a comprehensive final should be given. Numerous
homework problems should be assigned and sometimes graded. Quizzes may be given to
evaluate continual preparation.
Suggested Course Schedule
Chapter 3
Sec.
1-4
Simple interest. Compound interest. Future value of an
annuity. Present value of annuity. (5 hours).
Chapter 4
Sec.
1-6
Systems of linear equations in two variables. Systems of
linear equations and augmented matrices. Gauss-Jordon
elimination. Basic matrix operations. The inverse of a
matrix. Matrix equations and systems of linear equations.
(12 hours)
Chapter 5
Sec.
1-3
Inequalitics in two variables. Systems of
linear inequalities in two variables. Geometric
approach to linear programming. (4 hours)
Chapter 6
Sec.
1-3
The simplex method and the dual problem. (5 hours)
Chapter 7
Sec.
2-4
Sets. Basic counting principles. Permutations and
combinations. (4 hours).
Chapter 8
Sec.
1-5
Sample spaces, events, and probability. Union,
intersection, and complement of events. Odds. Conditional
probability, intersection, and independence. Bayes’
formula. Random variable, probability distribution, and
expected value. (10 hours)
Miscellaneous
Exams/quizzes/reviews (5 hours)
------------------------------------------------------------------------------------------------------Total time allocation:
45 hours
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Please put on your green sheet:
STUDENTS WHO INTEND TO USE THIS COURSE TO SATSFY THE
MATHEMATICAL REQUIREMENT FOR GENERAL EDUCATION
MUST EARN A C OR BETTER.
To Instructors: Since a C indicates minimal competence to continue or meet a
requirement and C- indicates that the student performance is so low that the course
should be repeated, your grading standards should reflect these judgments. Never change
a grade from C- to C because the student needs the C. Your chair will not approve such
changes and may ask for documentation of clerical errors.
Updated by:
Marilyn Blockus
Mathematics Department, SJSU
October, 2007
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