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MATH 524 Spring 2007
Lecture Summary



Week Monday Tuesday Thursday
1 (March 26-30) Lab 0 Introduction, Euclidean Algorithm (1, 2.1) Euclidean Algorithm, Linear Diophantine Equations (2.1, 2.5)
HW: (1) Ex 2, 4, Misc Ex. 8, 9, (2.1) 1, 2, 6, (2.5) 3, 5, 7
2 (April 2-6) Lab 1 Fundamental Theorem of Arithmetic, Applications (2.2, 2.3) Applications, Multiplicative Functions (2.3, 2.4)
HW: (2.2) Ex 4, 5, 12, 13, 14 (2.3) 2 (2.4) 1, 2, 3, 5
3 (April 9-13) Lab 2 Congruences (3.1, 3.2) Introduction to Cryptography
HW: (3.1) 3, 5, 7, 11 (3.2) 1, 6, 7, 9, 13, 14, 16
4 (April 16-20) Lab 3 System of Linear Congruences (3.3) Substitution Ciphers, Frequency Analysis
HW: (3.2) 24, 26, 29 (3.3) 2, 3, 4, 5, 8, 10, 20, 22
5 (April 23-27) Lab 4 Reduced Residue System, Euler Function (3.4, 3.5) Vigenere Cipher, Enigma Machine
6 (April 30-May 4) Lab 5 Polynomial Congruences (3.6) Stream Cipher, Block Cipher, Feistel Network
7 (May 7-11) Lab 6 Midterm Primitive Roots (3.7)
8 (May 14-18) Lab 7 DES and AES RSA
9 (May 21-25) Lab 8 Integer Factorization Diffie-Hellman Key Exchange, Kid Krypto
10 (May 28-June 1) Holiday Presentations, Lab 9 Presentations
11 (June 4) no class no class no class



clam@csub.edu