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Summary: Mathematics 126- Number Theory
Fall 2010
Instructor: Professor R. Alperin
Duncan 239, Telephone: 924-5066, email:alperin@math.sjsu.edu
O ce hours: 10:30-11:15 MW, 3:00-4:00 MW or by appointment
Text: Elementary Number Theory and Applications by T. Koshy, Harcourt Press,
latest edition
The main goal of this class is to introduce the students to basic mathematical
concepts used in number theory and techniques for their mathematical proof.
Your final grade is based on tests and homework presentations. You must
keep a neatly prepared looseleaf notebook of homework and be prepared to make
presentations in class.
ˇChapter 1-2 Fundamentals and Divisibility: (2)
1.1 9,11,18,19,26; 1.2 10,14,17,19-21; 1.3 1,4,13-16,32; 1.4 6-10, 25-7; 1.5 4,11,19,20,29-
31; 1.6 11,17,20,21,28; 1.7 2; 1.8 1,3
2.1 13, 17-30, 49-52, 63; 2.5 1-10, 37, 48, 57; 2.6 21,28
ˇChapter 3 GCD and Euclidean Algorithm: (3)
3.1 1-11, 12, 15, 21; 3.2 1, 5, and corresponding in 9-16; 3.3 1-6, 23, 24, 45-9;
3.4 1-10, 11,19, 23; 3.5 2, 9, 23, 24, 31, 35, 37
ˇMIDTERM 1: 100 points
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