MW 2:30-5:00 p.m. or by appointment
Section 901: MWF 9:10 a.m.-10:00 a.m. BLOC 148
Section 903: MWF 10:20 a.m.-11:10 a.m. BLOC 148
Section 907: MWF 11:30 a.m.-12:20 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 |
Monday 08/27 |
organizational meeting |
Wednesday 08/29 |
statements, predicates, basic logical connectives |
Friday 08/31 |
implication |
Monday 09/03 |
contrapositive, converse, biconditional |
Wednesday 09/05 |
quantifiers |
Friday 09/07 |
Quiz #1, quantifiers |
Monday 09/10 |
Quiz #2, proof techniques: existential proofs |
Wednesday 09/12 |
proof techniques: uniqueness proofs |
Friday 09/14 |
Quiz #3, proof techniques: universal proofs |
Monday 09/17 |
Quiz #4, proof techniques: universal proofs |
Wednesday 09/19 |
proof techniques: proof by contrapositive |
Friday 09/21 |
Quiz #5, proof techniques: proof by contradiction |
Monday 09/24 |
review for exam #1 Exam #1 (7-9pm) |
Wednesday 09/26 |
proof techniques: proving biconditional statements, proving disjunction statements |
Friday 09/28 |
Quiz #6, proof techniques: proof by cases, working backwards |
Monday 10/01 |
Quiz #7 principle of mathematical induction |
Wednesday 10/03 |
Quiz #8, principle of strong mathematical induction |
Friday 10/05 |
class cancelled |
Monday 10/08 |
Quiz #9, going over the solution of exam #1 |
Wednesday 10/10 |
sets, subsets |
Friday 10/12 |
class cancelled |
Monday 10/15 |
Quiz #10, union and intersection of two sets |
Wednesday 10/17 |
complement |
Friday 10/19 |
Quiz #11, arbitrary unions |
Monday 10/22 |
Quiz #12, arbitrary intersections |
Wednesday 10/24 |
problems on set operations |
Friday 10/26 |
Quiz #13 , problems on induction |
Monday 10/29 |
review for exam #2, Exam #2 (7-9pm) |
Wednesday 10/31 |
Cartesian products |
Friday 11/02 |
Quiz #14, power set |
Monday 11/05 |
Quiz #15, functions (definition and terminology) |
Wednesday 11/07 |
composition of functions |
Friday 11/09 |
Quiz #16, problems on properties of functions |
Monday 11/12 |
Quiz #17, surjectivity, injectivity |
Wednesday 11/14 |
bijectivity, invertibility |
Friday 11/16 |
Quiz #18 , problems on surjectivity, injectivity, bijectivity, invertibility |
Monday 11/19 |
class does not meet |
Wednesday 11/21 |
Reading Day, no classes |
Friday 11/23 |
Thanksgiving Holiday |
Monday 11/26 |
Quiz #19 , direct image of a set |
Wednesday 11/28 |
inverse image of a set |
Friday 11/30 |
Quiz #20 , problems on functions and sets |
Monday 12/03 |
Fall redefined day, Friday classes, review for the final |
Wednesday 12/05 |
Last day of classes, review for the final |
Friday 12/07 |
no classes |
Monday 12/10 |
Final exam-Section 901 , 8-10am |
Tuesday 12/11 |
Final exam-Section 903 , 8-10am |
Wednesday 12/12 |
Final exam-Section 907, 10:30am-12:30pm |