Summer 2009-Math 220 Finite Mathematics: Number Theory, Combinatorics, and Graphs

Syllabus

There is the syllabus on line, and key information is listed below.

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Textbook

I will use my own notes so you don't need to buy any textbook. But if you want to have some books for reference, for your information,my lectures will be based on the following book:

Discrete Mathematics for Computer Science by Kenneth Bogart, Clifford Stein and Robert L. Drysdale. ISBN 1-930190-86-7.

There are some good examples in this book: Finite Mathematics: an Applied Approach by Sullivan and Mizrahi, tenth edition. ISBN 0-471-32899-5.

You don't need to purchase them.

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Topics

This is an introduction to some topics in finite Mathematics: number theory, combinatorics and graph theory. We will see both thoeries and applications.

In the book of Discrete Mathematics for Computer Science, the correspondent sections are Chapters 1, 2 and 6.

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Time and Location

1:00PM - 2:45PM MTWRF--     from July 13 to August 13 at Room 215, Cupples One Hall

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Office Hours

TBA

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Grading

For the final grade, homework counts 70% and three exams count 30%(each exam counts equally 10%).

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Exams

We have three main topics, so we have three exams to cover them respectively.

   Exam 1, Number Theory: July 23, Thursday

   Exam 2, Combinatorics: August 4, Tuesday

   Exam 3, Graph Theory: August 13, Thursday

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Homework Assignments

Homework 1 and solutions

Homework 2 and solutions

Homework 3(at the "Problems" section) and solutions

Homework 4 and solutions

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Handouts

Lecture Note 01, July 13

Lecture Note 02, July 14

Lecture Note 03, July 15

Lecture Note 04, July 16

Lecture Note 05, July 17

Lecture Note 06, July 20

Lecture Note 07, July 21

Lecture Note 08, July 22

Lecture Note 09, July 24

Lecture Note 10, July 27

Lecture11, July 28 : Examples of Fibonacci sequence

Lecture Note 12, July 29

Lecture Note 13, July 30

Lecture Note 14, August 6

Lecture Note 15, August 7

Lecture Note 16, August 10

Lecture Note 17, August 11

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