Schedule

Preparing a course schedule is typically an exercise in fiction-writing. However, we hope to roughly follow this schedule.
Reading refers to chapters of Reading, Writing, and Proving by Gorkin and Daepp, to be completed before that class meeting; a short reading reflection on it is due at 11:59pm the night before.
Due lists the written assignments, which are due at the beginning of that class.
Notes are the typed class notes, posted as they are submitted — claim your two dates on the Course Notes Sign-Up sheet.

Date	Lecture	Reading	Due	Notes
Week 1
8/24	Course Introduction; Theorems, Definitions, and Proofs	Chapter 1 (read after class)		Notes Erum Hussain
8/26	Logical Statements: connectives, truth tables, implication	Chapter 2		Notes Erum Hussain
Week 2
8/31	The Contrapositive and the Converse	Chapter 3		Notes Jenna Klein
9/2	Set Notation; Variables and Quantifiers; negating quantified statements	Chapter 4		Notes Zoë Barnes
Week 3
9/7	No Class - Labor Day (University Closed)
9/9	The Simplest Proofs: direct proof and the contrapositive	Chapter 5	Written Assignment 1	Notes Tabitha Dixon
Week 4
9/14	Proof Techniques: contradiction, proof by cases, counterexamples	Chapter 5		Notes Virginia Smith
9/16	Sets: subsets, set equality, proving containment	Chapter 6		Notes Virginia Smith
Week 5
9/21	Operations on Sets: union, intersection, complement, difference; De Morgan's laws	Chapter 7		Notes Joshua Sekyere Cobblah
9/23	Mathematical Induction	Chapter 8	Written Assignment 2	Notes Joshua Sekyere Cobblah
Week 6
9/28	Complete Induction; Recursion; the Well Ordering Principle	Chapter 8		Notes Marin Colella
9/30	More on Operations on Sets: families of sets, index sets, indexed unions and intersections	Chapter 9		Notes Marin Colella
Week 7
10/5	The Power Set and the Cartesian Product; Review for Midterm Exam 1 (~20 min)	Chapter 10		Notes Zoë Barnes
10/7	Midterm Exam 1 (Chapters 1-9, 75 minutes)
Week 8
10/12	Relations; Equivalence Relations	Chapter 11	Written Assignment 3	Notes Sierra Weems
10/14	Partitions and equivalence classes	Chapter 12		Notes Sydra Meissner
Week 9
10/19	Order in the Reals: inequalities, upper bounds, suprema; the Archimedean property (Chapter 14)	Chapter 13
10/21	Functions, Domain, and Range	Chapter 15
Week 10
10/26	Injective, Surjective and Bijective Functions	Chapter 16
10/28	Inverses and Composition	Chapter 17
Week 11
11/2	Images and Inverse Images; continuous functions	Chapter 18
11/4	Sequences	Chapter 19
Week 12
11/9	Convergence of Sequences of Real Numbers	Chapter 20
11/11	Catch-Up / Flexible Day — material carried over from earlier in the term
Week 13
11/16	Cauchy Sequences and Completeness; Review for Midterm Exam 2	Chapter 20
11/18	Midterm Exam 2 (Chapters 11-13, 15-20)
Week 14
11/23	Equivalent Sets	Chapter 21
11/25	No Class - Thanksgiving Holiday (University Closed)
Week 15
11/30	Cardinality: finite sets, countable and uncountable sets; Cantor's diagonal argument; the Cantor-Schröder-Bernstein theorem	Chapters 22-24
12/2	Congruence Modulo m; Modular Arithmetic	Chapter 28
Week 16
12/7	The GCD, the Euclidean algorithm, and Modular Inverses; open and closed subsets of R (time permitting); Review for the Final Exam	Chapter 28
12/11	Final Exam - Friday, December 11, 12:30-2:30 p.m. (cumulative)

MATH 267: Introduction to Abstract Math