Math 181: A Mathematical World (X1)

Course Info

The initial plan is to cover chapters 1, 2, 9, 13, and 14 of the text.
Math 181 is an introduction to selected areas of mathematical sciences through application to modeling and solution of problems involving networks, circuits, trees, linear programming, random samples, regression, probability, inference, voting systems, game theory, symmetry and tilings, geometric growth, comparison of algorithms, codes, and data management.


Links:

• Leonhard Euler
• The Seven Bridges of Königsberg
• Looking to make a quick million? Just solve one of the Clay Math Millenium Prizes
• Sir William Rowan Hamilton
• An article from the American Math Society on Bin Packing
• The Four Color Theorem (and here and here).
• Apportionment in America
• What is Game Theory? (An economist's perspective)
• Game Theory in The Dark Knight
• Illinois Driver's License Numbers

Review materials for the Final Exam:

• Review sheet 1
• Review sheet 2
• Review sheet 3
• Chapter 9 review sheet
• Rules for fractions: here and here.

Schedule

Assignment	Date
Homework 1: Ch. 1: 14, 18, 21, 22	Due Wed. Jan. 28
Quiz 1: Ch. 1	Jan. 30, in class
Homework 2: Ch. 1: 26, 28, 32, 34, 36, Ch. 2: 2(a), (b), (d)	Due Wed. Feb. 4
Quiz 2: Ch. 2	Feb. 6, in class
Homework 3: Ch. 2: 44, 68, 70, Ch. 3: 4, 16(a)-(c), 18(a),(b), 44	Due Fri. Feb. 13
Quiz 3: Ch. 3	Feb. 13, in class
Exam 1 (Review sheet)	Feb. 20, in class
Quiz 4: Ch. 8	Feb. 27, in class
Homework 4: Ch. 8: 10, 12; Handout: 2, 9, 16	Due Fri. Feb. 27
Quiz 5: Ch. 8 (Conditional Probability, Bayes' Rule)	Mar. 6, in class
Homework 5: Handout: 41, 43, 44, 46, 47	Due Fri. Mar. 6
Quiz 6: Ch. 13	Mar. 13, in class
Homework 6: Ch. 13: 2, 4, 8, 12	Due Fri. Mar. 13
Exam 2 (Review sheet)	Mar. 20, in class
Quiz 6: Ch. 14 (Hamilton and Jefferson's Methods)	Apr. 3, in class
Homework 7: Ch. 14: 2, 6(a,b), 10(a,b)	Due Fri. Apr. 3
Quiz 7: Ch. 14 (Webster and Hill-Huntington Methods)	Apr. 10, in class
Homework 8: Ch. 14: 12, 20, 28	Due Fri. Apr. 10
Quiz 8: Ch. 15 (2 person games)	Apr. 17, in class
Homework 9: Ch. 15: 2, 6, 8, 10	Due Fri. Apr. 17
Exam 3 (Review sheet)	Apr. 24, in class
Quiz 9: Ch. 9	May 1, in class
Homework 10: Ch. 9: 8, 12. Also, in these problems determine if there is a Condorcet winner.	Due Fri. Apr. 17
FINAL EXAM!!	May 13, 7:00-10:00 PM