**
Introduction to Advanced Mathematics, MATH 215, Fall 2018
**

**Instructor:** Daniel Groves, 727 SEO e.mail

** Course webpage:**
http://www.math.uic.edu/~groves/teaching/2018-19/215/

**Syllabus**: Download here.

**Course hours:**

MWF, 12:00-12:50PM, Room 304, Taft Hall.

** Office hours:**

Mondays 10am, Fridays 2pm.

(Or, you can make an apointment by e.mail or try stopping past my office.)

**Text:** "An Introduction to Mathematical Reasoning", by P. Eccles, Cambridge University Press. ISBN:9780521597180

**Course description:**

The goal of this course is to learn how to create and write mathematical proofs, and to learn why one might want to do such a thing.
We will introduce and study some important mathematical concepts used in advanced mathematics courses, particularly equivalence relations.

**Assessment:**

There will be homework for most classes, two in class midterm exams and a final exam. Since there will be a lot of writing, explaining and critiquing in class, there will also be a class participation component of the grade.
The relative weighting of these components will be:
Homework: 20%
Class participation: 10%
Midterm exams: 20% each
Final exam: 30%

** Exams:**

The ** first midterm** will be on ** Wednesday, September 26**, during the regular class period.

Two midterms, and one final, dates and times to be announced.

** Daily Homework:**

**Due, Wednesday September 5, at the beginning of class.** Do this homework.

**Due, Friday September 7, at the beginning of class.** Do the first homework again. (Note: Part 1b has now been corrected. Everyone except Phillip should give a different example than the one we did in class.)

**Due, Monday September 10, at the beginning of class.** Do this homework.

**Due, Wednesday September 12, at the beginning of class.** Do this homework.

**Due, Monday September 17, at the beginning of class.** Do this homework.

**Due, Friday September 21, at the beginning of class.** **Graded** homework 1.

**On Monday, September 17** we will start working on this worksheet. (On the graded homework, this is the worksheet that is referred to.)

**For Wednesday, September 19,** come to class prepared to present proofs of Propositions 7 and 8 from the worksheet above.

Here is the second worksheet, for when we are ready for it.

**For Monday, September 24**, come to class prepared to present proofs of Propostions 10, 11, 12 and 13.

**Here** is a list of definitions and statements of results that we covered about functions and sets.