Math 215: Introduction to Advanced Mathematics.


Instructor: Sherwood Hachtman
e-mail: hachtma1 at uic dot edu
Section 1: MWF 10-10:50am in Adams Hall 311
Section 2: MWF 4-4:50pm in Adams Hall 302
Office hours: M 12-1 and W 3-4 in SEO 616

For details about grade breakdown and structure of the course, please see the syllabus
Course text: Peter J. Eccles, An Introduction to Mathematical Reasoning: numbers, sets and functions, Cambridge University Press 1997.


Homework and readings will be posted here until further notice.
Week Readings Homework Supplementary material
1 - 8/27-8/31

Eccles Chapters 1-3.

Homework 1, due Friday 9/7.

The Boolean card game. Some solutions to the first homework.
2 - 9/5-9/7

Worksheet 1: Arithmetic and inequalities.
3 - 9/9-9/14

For Wednesday, Eccles Ch. 4; Friday: Eccles Ch. 5

Homework 2, due Friday 9/21.

Solutions to HW 2.
4 - 9/17-9/21

Eccles Ch. 6

Homework 3, due Friday 9/28.

Worksheet 2: Induction. Solutions to HW 3.
5 - 9/24-9/28

Eccles Ch. 7 & 8

Worksheet 3: Functions.
6 - 10/1-10/5

Eccles Ch. 9; Midterm 1: Friday 10/5 (on Chs. 1-8).

Review for first midterm; and solutions.
7 - 10/8-10/12

Eccles Chs. 9 and 10.

Homework 4, due Friday 10/19.

Worksheet 4: One-to-one and onto. HW 4 Solutions.
8 - 10/14-10/19

Eccles Chs. 10 and 11.

Worksheet 5. Solutions to the first midterm: 10am class; 4pm class.
9 - 10/22-10/26

Eccles Ch. 12; supplement: D. Guichard Intro to Combinatorics, 1.1-1.5.

Homework 5, due Friday 10/26 Monday 10/29.

Solutions to HW 5
10 - 10/29-11/2.

Midterm 2: Friday 11/2, through Chapter 12. Reading: Eccles Chs. 22 (through p 266).

Suggested review problems for midterm 2.Solutions to midterm 2
11 - 11/5-11/9.

Eccles Chs 13, and (time permitting) 14.

Homework 6, due Friday 11/16.

Worksheet 7.
12 - 11/12-11/16.

Eccles Ch 14.

HW 6 Solutions.
13 - 11/19-11/23.

Eccles Ch 14.

14 - 11/26-11/30.

Eccles Ch 14.

Homework 7, due Wednesday 12/5.

HW 7 solutions
14 - 12/3-12/7.

Eccles Ch 14.

Review problems for final exam. Turn in (in person or electronically) by Monday 12/10 at 4pm.