Chabot College Fall 2004 – Discrete Mathematics Workshop

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Chabot College
Fall 2004
Course Outline for Mathematics 8W
DISCRETE MATHEMATICS WORKSHOP
Catalog Description:
8W – Discrete Mathematics Workshop
.25 - .5 units
Laboratory, study group, collaborative workshop or computer laboratory time for Discrete Mathematics.
Corequisite: Mathematics 8. 1 - 2 hours laboratory.
[Typical contact hours: 17.5-35]
Prerequisite Skills:
None
Expected Outcomes for Students:
Upon completion of the course, the student should be able to:
1.
2.
3.
read and write the mathematics used in Discrete Mathematics;
use technology currently used in Discrete Mathematics;
solve problems on their own and with peers without having to rely on an instructor.
Course Content:
1.
Applications of principles and concepts
Methods of Presentation:
1.
2.
3.
Individual instruction
Collaboration
Computer-assisted/graphing calculator instruction
Assignments and Methods of Evaluating Student Progress:
1.
2.
Typical Assignments
a. How many different functions are there from a set of 6 elements to itself? How many of them
are: (a) onto? (b) not onto? (c) one-to-one? (d) not one-to-one? Design an algorithm that
determines whether a function from a set of n elements to itself is one-to-one, and another that
determines whether the function is onto.
b. Let f(x) = x2 +1, x is real on [ -2, 4]. Define a relation R on A X A as: (a, b) is in R if and only if
f(a) = f(b). Show R is an equivalence relation. Describe the equivalence classes.
Methods of Evaluating Student Progress
a. Attendance
b. In–class assignments
Textbook(s)(typical)
Discrete Mathematics, Kenneth Rosen, McGraw-Hill Publishers, 2002
Discrete Mathematics, James A Anderson, Prentice Hall, 2001
Special Student Materials:
None
CS:al
Revised 10/16/03
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