# Math 111 Lectures and Assignments

## Fall 2018

Ch. 4: 35, 36, 37, 38, 39, 40
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)
5 Wed, Sep 5   Drawing down an Annuity Annuity Exercises: 6 - 10
(Annuity Exercises)
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)
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
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
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
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 Homework #5
39 Fri, Dec 7   Review
Thu, Dec 13 Final Exam (2:00 pm - 5:00 pm)