Handouts, Resources, Etc:

Class Schedule  
Class  Date  Material  Assignment 
1  W Aug 18  Class Intro; Fundamentals of Mathematics  Read pp 18 
2  F Aug 20  Immersion! Field Axioms (Chapter 5)  Read pp 5860 HW 1: #1, 2, 3 from Problems #1, expand (x+1)(x+2) listing all the axioms used 
3  M Aug 23  More Field Axiom work; quantifiers  HW 2: #4, 5, 14 from Problems #1, Quantifier Handout (pdf) 
4  W Aug 25  More Field Axiom work; negation  HW 3: #8, 12 from Problems #1, Negate Quantifier Practice #25 
5  F Aug 27  Order Axioms New Axiom List  HW 4: #20, 21, 24, 26, 29 
6  M Aug 30  Integer Powers; Notebook Info  HW 5: #31, 34, 38 
7  W Sep 1  Proofs with Quantifiers  HW: do and bid on undone problems in range #137 
8  F Sep 3  Problems & Review  HW 6: #41, 42, Essay Proof Problems (PDF) 
M Sep 6  Labor Day Holiday  
9  W Sep 8  Absolute Value  HW 7: #46, 47, 52, 53, 58 (new problem sheet avail at top) New HW Policy: HW due class period after next (today's due Monday) 
10  F Sep 10  More Absolute Value  HW 8: #55, 61, 63 (due Wed) 
11  M Sep 13  Set Theory  HW 9: #65, 66, 71, 73, 75 (new problem sheet (#4) avail) 
12  W Sep 15  More Set Theory (Complement & Reflection)  HW10: #67, 68, 69, 80, 84 (due Wed) 
13  F Sep 17  Exam Preview; More Set Theory (Venn Diagrams); Updated version of Problems Sheet #4 available  No Homework  Study 
14  M Sep 20  Exam #1 on material thru Absolute Value  
15  W Sep 22  More Set Stuff  HW11: #110, 111, 112, 113, 115, 116 
16  F Sep 24  Return Exam; Functions (Chapter 3)  HW12: #92, 99, 101, 102, 104 (rest of problems from #4 are available for bidding) 
17  M Sep 27  More Functions  HW13: #119, 120, 129, 150, 151, 154 (new problem sheet) 
18  W Sep 29  Inverse Functions; 11 and Onto  HW14: #131 132, 156, 160, 163 
19  F Oct 1  More 11 and Onto  HW15: from book: #8efg (pg. 38), from prob sheet: #135, 138, 166 
20  M Oct 4  Real functions: domain, range, odd and even  HW16: from book: #12def (pg. 40), from prob sheet: #123, 125, 142 
21  W Oct 6  Review of Sets & Functions  Homework Holiday: all current HW (15, 16) due on Monday, also work on Bid problems 
22  F Oct 8  Sets, Functions & Infinity  HW17: from today's handout: #2, #9 
23  M Oct 11  Cartesian Products and Relations (Chapter 2)  HW18: from new prob sheet: #168, 180, 182, 171, 173 (due Monday!) 
24  W Oct 13  Exam Review  No Homework 
F Oct 15  Fall Break  
25  M Oct 18  Exam #2 on Sets and Functions  
26  W Oct 20  Relations: Reflexive, Symmetric, Transitive  HW19: #174, 184bce 
27  F Oct 22  Equivalence Relations  HW20: #185bdh 
28  M Oct 25  (Abstract) Equivalence Relations & Partitions  HW21: #188, 191, 192 Correct Missed Problems on Exam (due Friday) Update to Notebook Problem List; First check Mon Nov 1: Armistead thru McGill 
29  W Oct 27  Wrapup Equivalence Relations; Begin Induction (Ch. 4)  HW22: #185fg (also determine the partition defined by the equivalence classes), #190 
30  F Oct 29  Induction: Intro & Sums  HW23: #194, 196, 198 (new problem sheet) 
31  M Nov 1  Induction: Divisibility  HW24: #201, 204, 209 
32  W Nov 3  Induction: Variations  HW25: #202, 212, 213 
33  F Nov 5  Induction: Inequalities  HW26: #219, 225, 235 (new problem sheet) Notebooks for 2nd half of class due Monday 
34  M Nov 8  Induction: Inequalities  HW27: #223, 226, 227 
35  W Nov 10  Induction: Inequalities  HW28: #228, 233, 236 
36  F Nov 12  Induction: Recursion  HW29: #241, 244, 246 Notebooks for 1st half of class due Monday 
37  M Nov 15  Review; Induction: Recursion  HW30: #248, #250 
38  W Nov 17  Exam #3 on Relations and Induction (thru Inequalities) Problems #167 thru 239  
39  F Nov 19  Induction: Binomial Formula  HW31: #252, 253, 254, 256, 261 
40  M Nov 22  Induction: Binomial Formula  HW32: #262, 263, 265 
41  W Nov 24  Lots of Bid Problems!  No HW 
F Nov 26  Thanksgiving Holiday  
42  M Nov 29  Course Summary & Final Overview  Notebooks due by Friday 3PM for the check that counts 
Th Dec 9  Final Exam, 8:0010:00AM 
ccollins@math.utk.edu