Handouts, Resources, Etc:
|
| Class Schedule | |||
| Class | Date | Material | Assignment |
| 1 | W Aug 18 | Class Intro; Fundamentals of Mathematics | Read pp 1-8 |
| 2 | F Aug 20 | Immersion! Field Axioms (Chapter 5) | Read pp 58-60 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 #2-5 |
| 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 #1-37 |
| 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; 1-1 and Onto | HW14: #131 132, 156, 160, 163 |
| 19 | F Oct 1 | More 1-1 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 | Wrap-up 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, 8:00-10:00AM | ||
ccollins@math.utk.edu