
MAT 118

Index Course Description Teaching Staff, Office Hours Syllabus and Homework 
Be aware that some important dates appear on the university's Spring 2013 academic calendar.
Page references are to The Heart of Mathematics by Burger and Starbird, Fourth Edition.
Dates  Sections covered  Homework 
Jan 28 Jan 30 Feb 01  B&S, Chapter 1.  Assignment 1. 
Feb 04 Feb 06 Feb 08 
More on geometric series; the Sierpinski
carpet (B&S § 1.3, Story 6).
Fractals from selfsimilarity (§ 7.2) Fractals from random process (§ 7.2) 
Assignment 2. Assignment modified on 2/7! 
Feb 11 Feb 13 Feb 15 
Snow day Pascal triangle and Sierpinski triangle (see notes) Binomial Theorem (see notes) 
Assignment 3. 
Feb 18 Feb 20 Feb 22 
Königsberg Bridge Problem, "dominoes" solution (§ 6.1) Euler circuit if no vertex of odd order (§ 6.1) Midterm 
Midterm I Feb 22 Review sheet for Midterm 1 Assignment 4. 
Feb 25 Feb 27 Mar 01 
Planar graphs, Euler characteristic (§ 6.2) Polyhedra, regular polyhedra (§ 6.2) Only 5 regular polyhedra (§ 6.2) 
Assignment 5. 
Mar 04 Mar 06 Mar 08 
Duality among polyhedra and planar graphs (§ 4.5) Planar and nonplanar graphs (§ 6.3) 
Assignment 6. 
Mar 11 Mar 13 Mar 15 
Towers of Hanoi (p. 33); Mathematical induction
(see notes) Fibonacci numbers (§ 2.2). Fibonacci on Rabbits Golden mean, golden rectangle (§ 4.3) 
Assignment 7. 
Mar 25 Mar 27 Mar 29 
Division algorithm (§ 2.3). Binary arithmetic (see
notes) Prime numbers (§ 2.3) 
Midterm II March 29 Review sheet for Midterm II Assignment 8 
Apr 01 Apr 03 Apr 05 
Infinite number of primes (pp. 7274) "Clock arithmetic," check digit in UPC code (§ 2.4) Modular equivalence, other check digits (§ 2.4). 
Assignment 9 
Apr 08 Apr 10 Apr 12 
Check digits review Modular arithmetic: reciprocals (see notes) 
Assignment 10 
Apr 15 Apr 17 Apr 19 
Numbers beyond fractions? (§ 2.6) Decimal representation of rational numbers (§ 2.7) 
Assignment 11 
Apr 22 Apr 24 Apr 26 
The rationals in the number line Review for midterm Midterm 
Midterm III April 26 Review sheet for Midterm III 
Apr 29 May 01 May 03 
Onetoone correspondances, cardinality,
sets with the same cardinality as the counting numbers (§§ 3.1, 3.2) Cardinality of (0,1) strictly greater than cardinality of natural numbers (§ 3.3) 
Assignment 12
Corrected 5/5/13 
May 06 May 08 May 10 
Sets and Power sets (§ 3.4) Review of material on first 3 midterms Review of new material  
Review for Final 