Introduction to Advanced Mathematics, MATH 215, Fall 2018
Instructor: Daniel Groves, 727 SEO e.mail
Syllabus: Download here.
MWF, 12:00-12:50PM, Room 304, Taft Hall.
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
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.
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:
Class participation: 10%
Midterm exams: 20% each
Final exam: 30%
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.
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.