Math 220 is designed to provide a bridge between computational mathematics and theoretical mathematics (``real math''). Thus a major goal is to teach the students how to write proofs.
The required core of topics include logic, set theory, number theory, induction, functions, relations, operations, and combinatorics.
Robert J. Bond,
Date of Class |
Material covered |
Monday 08/29 |
general introduction, Section 1.1 (statements, open sentences) |
Wednesday 09/31 |
Section 1.1 (quantifiers, negation) |
Monday 09/05 |
Quiz #1 Section 1.1 (writing proofs) |
Wednesday 09/07 |
Section 1.2 Compound Statements (disjunctions, conjunctions, tautologies, contradictions) |
Monday 09/12 |
Quiz #2 , Section 1.3 (implications) |
Wednesday 09/14 |
Section 1.3 (counterexamples) |
Monday 09/19 |
Quiz #3 , Section 1.4 (contrapositive and converse) |
Wednesday 09/21 |
Section 1.4 (proof by contradiction) |
Monday 09/26 |
review chapter 1 |
Tuesday 09/27 |
Exam #1 |
Wednesday 09/28 |
Section 2.1 (sets and subsets) |
Monday 10/03 |
Quiz #4 , Section 2.2 (combining sets) |
Wednesday 10/05 |
Section 2.2 (combining sets) |
Monday 10/10 |
class does not meet |
Wednesday 10/12 |
class does not meet |
Monday 10/17 |
Quiz #5 , Section 2.3 (collections of sets) |
Wednesday 10/19 |
Section 3.1 Functions: Definition and Basic Properties |
Monday 10/24 |
Quiz #6 , Section 3.2 Surjective and Injective Functions |
Wednesday 10/26 |
Section 3.3 Composition and Invertible Functions |
Monday 10/31 |
Quiz #7 , Section 4.1 Binary Operations |
Wednesday 11/02 |
review chapters 2-3 |
Thursday 11/03 |
Exam #2 |
Monday 11/07 |
Section 4.1 Binary Operations |
Wednesday 11/09 |
Section 4.2 Equivalence Relations |
Monday 11/14 |
discussion about exam 2 |
Wednesday 11/16 |
Section 4.2 Equivalence Relations, partial orderings |
Monday 11/21 |
Quiz #8 , Section 4.2 Equivalence Relations, Partial orderings |
Wednesday 11/23 |
reading day, no classes |
Monday 11/28 |
Quiz #9 , Section 5.1 The Integers: Axioms and Basic Properties, Section 5.2 Induction |
Wednesday 11/30 |
Section 5.2 Induction, Well-Ordering Principle, Section 5.3 The Division Algorithm and Greatest Common Divisors |
Monday 12/05 |
Fall redefined day, students attend their Friday classes |
Wednesday 12/07 |
last day of classes, Quiz #10 , Section 5.3 The Division Algorithm and Greatest Common Divisors, Section 5.4 Primes and Unique Factorization, Section 5.5. Congruences |