| No. | Date | Sections | Lecture | Assignment | ||
|---|---|---|---|---|---|---|
| Chapter 10 - The Mathematics of Finance | ||||||
| 1 | Mon, Aug 27 | Introduction | None | |||
| 2 | Wed, Aug 29 | 10.2 | Simple Interest | Ch. 10: 5, 12, 17, 18, 25, 26, 67 | ||
| 3 | Fri, Aug 31 | 10.3 | Compound Interest | Ch. 10: 27, 28, 31, 32, 41, 42, 43, 44, 70 | ||
| 4 | Mon, Sep 3 | 10.3 | Building up an Annuity
(Financial Formulas) |
Annuity Exercises: 1 - 5 (Annuity Exercises) |
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| 5 | Wed, Sep 5 | Drawing down an Annuity | Annuity Exercises: 6 - 10 (Annuity Exercises) |
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| 6 | Fri, Sep 7 | 10.4 | Installment Loans | Ch. 10: 57, 58, 59, 61, 62, 63 | ||
| 7 | Mon, Sep 10 | Inflation | Inflation Exercises: 1 - 10 (Inflation Exercises) |
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| Chapter 1 - The Mathematics of Elections | ||||||
| 8 | Wed, Sep 12 | 1.1 - 1.3 | The Plurality and Borda Count Methods | Ch. 1: 11, 13, 15, 16, 21, 25, 27, 29 | ||
| 9 | Fri, Sep 14 | 1.4 | The Plurality-with-Elimination Method | Ch. 1: 31, 32, 33, 35, 37, 38, 69a Rework 31, 32, and 33 using Coombs' method |
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| 10 | Mon, Sep 17 | 1.5 | The Pairwise-Comparison Method | Ch. 1: 41, 42, 43, 44, 45, 47, 49, 50 | ||
| 11 | Wed, Sep 19 | 1.6 | Arrow's Impossibility Theorem | Ch. 1: 51, 52, 53, 54, 55, 56 | ||
| Fri, Sep 21 | Test 1 | |||||
| Chapter 2 - The Mathematics of Power | ||||||
| 12 | Mon, Sep 24 | 2.1 | Weighted Voting | Ch. 2: 1, 2, 3, 4, 5, 6, 7, 8 | ||
| 13 | Wed, Sep 26 | 2.2 | Banzhaf Power | Ch. 2: 11, 12, 13, 14, 15, 17, 19, 69, 71 Use the webpage program for 69 and 71 |
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| 14 | Fri, Sep 28 | 2.3 | Shapley-Shubik Power | Ch. 2: 27, 28, 29, 30, 32, 33, 56 | ||
| Chapter 3 - The Mathematics of Sharing | ||||||
| 15 | Mon, Oct 1 | 3.1 - 3.3 | The Divider-Chooser Method | Ch. 3: 1, 3, 5, 15, 16, 17, 18, 19, 20 | ||
| 16 | Wed, Oct 3 | 3.4 | The Lone-Chooser Method | Ch. 3: 41, 42; Handout exercises | ||
| 17 | Fri, Oct 5 | 3.4 | Lone-Chooser Examples | Same as last assignment | ||
| 18 | Mon, Oct 8 | 3.5 | The Method of Sealed Bids | Ch. 3: 43, 44, 46, 47, 48 | ||
| 19 | Wed, Oct 10 | 4.1 - 4.2 | Apportionment Problems | Ch. 4: 11, 12, 13, 14. Skip the terminology; apply Hamilton's method | ||
| Chapter 4 - The Mathematics of Apportionment | ||||||
| 20 | Fri, Oct 12 | 4.2 | Hamilton's Method | Ch. 4: 21, 23, 24, 27, 31, 32, 33, 34 | ||
| Mon, Oct 15 | Fall Break | |||||
| 21 | Wed, Oct 17 | 4.3 | Jefferson's and Adams's Methods | Ch. 4: 21, 23, 34, 27 | ||
| Fri, Oct 19 | Test 2 | |||||
| 22 | Mon, Oct 22 | 4.4 | Webster's Method | Ch. 4: 35, 36, 37, 38, 39, 40|||
| 23 | Wed, Oct 24 | 4.5 | The Huntington-Hill Method - Version 1 | Ch. 4: 43, 44, 45, 46, 49. Use Version 1. | ||
| 24 | Fri, Oct 26 | 4.5 | The Huntington-Hill Method - Version 2 | Ch. 4: 49, 50 (Version 2 with M = 10) | ||
| 25 | Mon, Oct 29 | 4.6 | Apportionment Paradoxes | Ch. 4: 51, 52, 55, 56, 58, 61, 62 | ||
| Chapter 5 - The Mathematics of Getting Around | ||||||
| 26 | Wed, Oct 31 | No class (Jury duty) | ||||
| 27 | Fri, Nov 2 | 5.2 - 5.2 | Street-Routing Problems | Ch. 5: 2, 3, 7, 13, 15, 19, 20, 21, 22, 27 | ||
| 28 | Mon, Nov 5 | 5.3 | Euler's Theorems | Ch. 5: 29, 30, 31, 35, 36, 37, 38, 39 | ||
| 29 | Wed, Nov 7 | 5.4 | Eulerization | Ch. 5: 43, 44, 45, 47, 53, 54, 55 | ||
| Chapter 6 - The Mathematics of Touring | ||||||
| 30 | Fri, Nov 9 | 6.1, 6.3 | The Traveling Salesman Problem | Ch. 6: 27, 28, 29, 31, 33/td> | ||
| 31 | Mon, Nov 12 | 6.4 | The Nearest-Neighbor Algorithm | Ch. 6: 33, 34, 35, 36, 37, 40, 41, 44 | ||
| 32 | Wed, Nov 14 | 6.5 | The Cheapest-Link Algorithm | Ch. 6: 49, 50, 51, 52, 55, 56 | ||
| Fri, Nov 16 | Test 3 | |||||
| 33 | Mon, Nov 19 | 7.1 - 7.3 | Minimal Spanning Trees | Ch. 7: 1, 3, 7, 35, 37, 39, 40, 45 | ||
| Wed, Nov 21 | Thanksgiving Break | |||||
| Fri, Nov 23 | ||||||
| Game Theory | ||||||
| 34 | Mon, Nov 26 | Introduction to Game Theory | Homework #1 | |||
| 35 | Wed, Nov 28 | The Payoff Matrix | Homework #2 | |||
| 36 | Fri, Nov 30 | Row and Column Dominance | Homework #3 | |||
| 37 | Mon, Dec 3 | Mixed Strategies | Homework #4 | |||
| 38 | Wed, Dec 5 | The Nash Equilibrium | ||||
| 39 | Fri, Dec 7 | Review | ||||
| Thu, Dec 13 | Final Exam (2:00 pm - 5:00 pm) | |||||