Detailed Schedule -- Mathematical Structures, Section 2

Fall 2017, Prof. Little

Note: All information on this page is still under development and subject to change.

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

Date	Class Topic	Reading (Course text)

8/30	Course intro, statements and negations	1.1
9/1	Logical connectives	1.2
9/4	Quantifiers	1.3
9/6	Truth tables and applications	1.4
9/8	Sets and set operations PS 1 due; Quiz 1	2.1
9/11	Partitions and mappings	2.2
9/13	Writing proofs	2.3
9/15	More on writing proofs; PS 2 due; Quiz 2	2.3
9/18	The Peano axioms for the natural numbers	3.1
9/20	Mathematical induction	3.2
9/22	Counting principles PS 3 due; Quiz 3	3.3
9/25	Constructing the natural numbers and the integers	3.4 and 3.5
9/27	Properties of the Integers	4.1
9/29	*Exam 1*	Chapters 1 - 3
10/2	Integer division algorithm	4.2
10/4	GCD's and Euclid's algorithm	4.3
10/6	Spare Day; PS 4 due; Quiz 4
10/9,11,13	No Class -- Columbus Day Break
10/16	Prime numbers and coprimality	5.1
10/18	Prime factorization	5.2
10/20	Congruence (mod n) PS 5 due; Quiz 5	6.1
10/23	Multiplicative inverses	6.2
10/25	Linear congruences	6.3
10/27	Fermat's Little Theorem; PS 6 due; Quiz 6	6.4
10/30	The RSA public-key cryptosystem	6.4
11/1	Mappings and relations	7.1, 7.2
11/3	*Exam 2*	(Chapters 4 - 6)
11/6	Composition and inverses	7.3
11/8	Equivalence relations	7.4
11/10	Binary operations PS 7 due ; Quiz 7	8.1, 8.2
11/13	Axioms for the real numbers	9.1
11/15	Integer powers, binomial theorem	9.3
11/17	Sets of real numbers, upper and lower bounds PS 8 due ; Quiz 8	10.1, 10.2
11/20	Suprema	10.3
11/22,24	No Class -- Thanksgiving Break
11/27	Sequences, series, and convergence	11.1, 11.2
11/29	Convergence criteria	11.3
12/1	Algebraic properties of limits PS 9 due; Quiz 9	11.4
12/4	Subsequences	11.4
12/6	*Exam 3*	(Chapters 7 - 9)
12/8	More on infinite series	11.5

The final exam for this course will be given at the time determined for MWF 11:00am classes. Watch for announcements from the Registrar.

Last modified: August 10, 2017