Detailed Schedule -- Algebraic Structures, Section 1

Fall 2003, Prof. Little

As always, topics may be added, deleted, or rearranged during the course of the semester. Any changes will be announced in class and here.

DateClass Topic Reading (Gilbert and Gilbert)
9/24 Matrices and matrix operations 1.5
9/26 Relations 1.6
9/29 The integers and mathematical induction 2.1, 2.2
10/1 More on mathematical induction 2.2
10/3 Integer division 2.3
10/6 Prime factors, gcd's 2.4
10/8 Exam 1 (Appendix on Logic, Chapter 1, 2.1-2)
10/10 Euclid's algorithm 2.4
10/13 No Class -- Columbus Day Break
10/15 Congruences 2.5
10/17 Congruence Classes and Zn 2.6
10/20 The RSA public-key cryptosystem 2.8
10/22 Groups 3.1
10/24 Subgroups 3.2
10/27 Cyclic groups 3.3
10/29 More on cyclic groups 3.3
10/31 Isomorphisms of groups 3.4
11/3 Homomorphisms of groups 3.5
11/5 Exam 2 (Chapters 2,3)
11/7 Permutation groups 4.1
11/10 More on permutation groups 4.1
11/12 Cayley's Theorem 4.2
11/14 Permutation groups in science and art 4.3
11/17 Normal subgroups 4.4
11/19 Quotient groups 4.5
11/21 More on quotient groups 4.5
11/24 Rings 5.1
11/26,28 No Class -- Thanksgiving Break 5.1
12/1 Integral domains and fields 5.2
12/3 More on domains and fields 5.2
12/5 Exam 3 (Chapter 4, 5.1)
12/8 Course wrap-up
The final exam for this course will be given at 8:30 am on Tuesday, December 16, 2003.

Last modified: September 23, 2003