Math 215, Call #24907, Spring 2010
Classes: MWF 1-2 in 307 Addams Hall
Professor: Alex Furman
Office hours: Mon 2-3, Wed 11-12
Contact:
furman at math.uic.edu
Text: An Introduction to Mathematical Reasoning by Peter J. Eccles, Cambridge.
Each week there are exercises from the text (not to be turned in, with solutions in the back of the book)
and exercises to be handed in.
Please write your solutions clearly and carefully.
You are encouraged to work together, but your submitted solutions must be written individually.
Assignments are due in class. If you have to miss class that day, you can turn in your assignment
early to my box in SEO 304. Late homework will not be accepted.
One missing/lowest homework score will be dropped in the calculation of your final score.
| Date | Topic | Comments |
| 1/11 1/13 1/15 |
I.1 Mathematical Language I.2 Implications I.3 Proofs |
. . Homework 1 is due |
| 1/18 1/20 1/22 |
Martin Luther King Day I.3 Proofs I.4 Proofs by contradiction |
no classes . . |
| 1/25 1/27 1/29 |
I.4 Proof by contradiction I.5.1 Proof by Induction I.5.2-3 Induction continued |
Homework 2 is due . . |
| 2/1 2/3 2/5 |
I.5.3-4 Induction (cont.) Class cancelled Induction (cont.) |
. furlough day HW 3 is postponed |
| 2/8 2/10 2/12 |
Induction (review) II.6.1-2 Sets II.6.3 Power set |
Homework 3 is due . . |
| 2/15 2/17 2/19 |
Pascal triangle Review Midterm 1 |
Homework 4 is due . In class |
| 2/22 2/24 2/26 |
More on binomial coefficients Product sets (II.7.7) Quantifiers (II.7.1-5) |
. Homework 5 is due |
| 3/1 3/3 3/5 |
Quantifiers (cont., II.7.6) Quantifiers (cont.) Functions (II.8.1-2) |
. . Homework 6 is due |
| 3/8 3/10 3/12 |
Review of quantifiers Functions (II.8.3-4) Functions. Quiz on quantifiers |
. . |
| 3/15 3/17 3/19 |
. . . |
Homework 7 is due . . |
| 3/22-27 | Spring Break | Spring Break |
| 3/29 3/31 4/2 |
Review Midterm 2 Counting infinite sets |
. in class . |
| 4/5 4/7 4/9 |
Transcendental numbers, Review of the exam IV.15 The division theorem 16. Euclidean algorithm |
. Exs:15.1-6 (p. 197-8) . |
| 4/12 4/14 4/16 |
MT 2 (second take) 17. Consequences of the Euclidean Algorithm 18. Linear Diophantine equations |
. Homework 8 is due . |
| 4/19 4/21 4/23 |
18. Diophantine (cont) 19. Modular Arithmetic 19. Modular Arithmetic (cont.) |
. Homework 9 is due |
| 4/26 4/28 4/30 |
20. Linear congruences Review of IV and V Review (comprehensive) |
. Practice Final, solution Homework 10 is due |
| 5/3 | Final Exam, 1-3pm, AH 307 |
Homework 1, Homework 2, Homework 3, Homework 4, Homework 5, Homework 6, Homework 7, Homework 8, Homework 9, Homework 10, Practice Final and its solution.
Homework (20%), Midterm exams (20% each), Final exam (40%)