Tuesdays 8:30-10:30 a.m. and Thursdays 3:45-5:00pm or by appointment
TR 11:10 a.m.-12:25 p.m. BLOC 148
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.
Tamara J. Lakins,
, 1st edition, American Mathematical Society, Pure and applied undergraduate texts, The Sally Series.
Date of Class |
Material covered |
Tuesday 08/28 |
class cancelled due to inclement weather |
Thursday 09/31 |
general introduction, Section 1.1 (language, logic and proof: language and logic) |
Tuesday 09/05 |
Quiz #1 , Section 1.2 (language, logic and proof: language and logic) |
Thursday 09/07 |
Section 2.1 (techniques of proofs: direct proofs) |
Tuesday 09/12 |
Quiz #2 , Section 2.1 (techniques of proofs: direct proofs) |
Thursday 09/14 |
Section 2.2 (techniques of proofs: proofs by contradiction and contrapositive) |
Tuesday 09/19 |
Quiz #3 , Section 2.3 (techniques of proofs: two important theorems) |
Thursday 09/21 |
Section 2.3 (techniques of proofs: two important theorems), Section 2.4 (techniques of proofs: proofs of statements involving mixed quantifiers) |
Tuesday 09/26 |
Exam #1 (covers sections 1.1-2.3) |
Thursday 09/28 |
Section 3.1 (induction: principle of mathematical induction) |
Tuesday 10/03 |
Quiz #4 , Section 3.2 (induction: principle of strong mathematical induction) |
Thursday 10/05 |
Section 4.1 (the language of sets, emptyset, subsets, equality) |
Tuesday 10/10 |
Quiz #5 , Section 4.2 (operations on sets, intersection, union) |
Thursday 10/12 |
Section 4.2 (operations on sets, complement, DeMorgan's laws) |
Tuesday 10/17 |
Quiz #6 , Section 4.3 (arbitrary unions and intersections) |
Thursday 10/19 |
Section 4.3 (arbitrary unions and intersections) |
Tuesday 10/24 |
Quiz #7 , Section 4.3 (power set, partitions) |
Thursday 10/26 |
review for exam 2 |
Tuesday 10/31 |
Exam #2 (covers sections 2.4-5.5) |
Thursday 11/02 |
Section 5.1 (functions) |
Tuesday 11/07 |
Quiz #8 , Section 5.2 (function composition). |
Thursday 11/09 |
Section 5.3 (injective and surjective functions) |
Tuesday 11/14 |
Quiz #9 , Section 5.4 (invertible functions). |
Thursday 11/16 |
Section 5.5 (functions and sets). |
Tuesday 11/21 |
|
Thursday 11/23 |
Thanksgiving, reading day, no classes |
Tuesday 11/28 |
Quiz #10 , Section 7.1-7.2 (relations, equivalence relations). |
Thursday 11/30 |
Quiz #11 , Section 7.3 (partitions)
|
Tuesday 12/05 |
Fall redefined day, students attend their Thursday classes, Quiz #12 , review for the final |
Thursday 12/07 |
reading day, no classes |