Math 111 Lectures and Assignments

Spring 2018


No. Date Sections Lecture Assignment
Chapter 10 - The Mathematics of Finance
1 Mon, Jan 15   Introduction
2 Wed, Jan 17 10.2 Simple Interest
3 Fri, Jan 19 10.3 Compound Interest
4 Mon, Jan 22 10.3 Building up an Annuity
(Financial Formulas)
(Annuity Exercises)
5 Wed, Jan 24   Drawing down an Annuity
6 Fri, Jan 26 10.4 Installment Loans
7 Mon, Jan 29   Inflation
Chapter 1 - The Mathematics of Elections
8 Wed, Jan 31 1.1 - 1.3 The Plurality and Borda Count Methods
9 Fri, Feb 2 1.4 The Plurality-with-Elimination Method
10 Mon, Feb 5 1.5 The Pairwise-Comparison Method
11 Wed, Feb 7 1.6 Arrow's Impossibility Theorem
Chapter 2 - The Mathematics of Power
12 Fri, Feb 9 2.1 Weighted Voting
13 Mon, Feb 12 2.2 Banzhaf Power
14 Wed, Feb 14 2.3 Shapley-Shubik Power
Fri, Feb 16 Test 1
Chapter 3 - The Mathematics of Sharing
15 Mon, Feb 19 3.1 - 3.2 The Divider-Chooser Method
16 Wed, Feb 21 3.4 The Lone-Chooser Method
17 Fri, Feb 23 3.4 The Lone-Chooser Method
18 Mon, Feb 26 3.5 The Method of Sealed Bids
Chapter 4 - The Mathematics of Apportionment
19 Wed, Feb 28 4.1 Apportionment Problems
20 Fri, Mar 2 4.2 Hamilton's Method
Mon, Mar 5 Spring Break
Wed, Mar 7
Fri, Mar 9
21 Mon, Mar 12 4.3 Jefferson's and Adams's Methods
22 Wed, Mar 14 4.4 Webster's Method
23 Fri, Mar 16 4.5 The Huntington-Hill Method - Version 1
24 Mon, Mar 19 4.5 The Huntington-Hill Method - Version 2
25 Wed, Mar 21 4.6 Apportionment Paradoxes
Fri, Mar 23 Test 2
Chapter 5 - The Mathematics of Getting Around
26 Mon, Mar 26 5.2 - 5.2 Street-Routing Problems
27 Wed, Mar 28 5.3 Euler's Theorems
30 Fri, Mar 30 5.4 Eulerization
29 Mon, Apr 2   The Shortest-Path Algorithm
Chapter 6 - The Mathematics of Touring
30 Wed, Apr 4 6.1, 6.3 The Traveling Salesman Problem
31 Fri, Apr 6 6.4 The Nearest-Neighbor Algorithm
32 Mon, Apr 9 6.5 The Cheapest-Link Algorithm
Chapter 8 - The Mathematics of Scheduling
33 Wed, Apr 11 8.1 - 8.2 Scheduling and Digraphs
34 Fri, Apr 13 8.3 Priority List Scheduling
35 Mon, Apr 16 8.4 The Decreasing-Time Algorithm
36 Wed, Apr 18 8.5 The Backflow Algorithm
Fri, Apr 20 Test 3
37 Mon, Apr 23 8.5 The Critical-Path Algorithm
38 Wed, Apr 25 8.5 The Critical-Path Algorithm
39 Fri, Apr 27   Summary and Review
Tue, May 1 Final Exam (1:30 pm - 4:30 pm)