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MAT 118
Mathematical
Thinking
Spring 2013
Index Course Description Teaching Staff, Office Hours Syllabus and Homework
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MAT 118
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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 self-similarity (§ 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 non-planar 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. 72-74) "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 |
One-to-one 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 | ||