Brian Miceli's Home Page - Trinity University

Introduction to Abstract Mathematics Brian Miceli's Home Page - Trinity University

San Antonio, Texas

Course Materials
There will be no textbook for this course.

Syllabus

Homework #1 - Due Friday, January 19

Homework #2 - Due Friday, January 26

Homework #3 - Due Friday, Feburary 2

Homework #4 - Due Friday, Feburary 16

Homework #5 - Due Friday, Feburary 23

Homework #6 - Due Friday, March 2

Homework #7 - Due Friday, March 23

Homework #8 - Due Wednesday, March 28

Homework #9 - Due Friday, April 6

Homework #10 - Due Friday, April 20

Homework #11 - Due Friday, April 27

Handouts, In-Class Problem Sets, Videos, etc.

Rabbit Problem - Discussed on January 22.

Tipping Point's video about the golden ratio - Discussed on January 24.

Khan Academy's video about the distribution of prime numbers - To help with the discussion from January 29.

Wikipedia page about the Sieve of Eratosthenes. (This page has a nice figure for visualizing the algorithm.)
Two quick reads on modular arithmetic: Dr. Math Forum, Better Explained

You may also find intresting this "big picture" view of modular arithmetic.

Here is an RSA handout and the corresponding key for translating letters to numeric codes.

New York Times piece about the famed Hilbert Hotel - Discussed on Feburary 23.

A quick read on infinity and counting.
Three pictorial proofs of the Pythagorean Theorem.
Videos on Dimension: 2-D Objects, 3-D Objects, and 4-D Objects (starter)

Two links about Non-Euclidean Geometry: Read #1, Read #2

An applet to explore hyperbolic geometry

Link to Game of Life

Link to The Chaos Game

Two handouts on Probability: Probability Basics, Counting Tools

Midterm Exams

First Exam: Friday, February 9th -- Exam I Review Problems
Second Exam: Friday, March 9th -- Exam II Review Problems
Third Exam: Friday, April 13th -- Exam III Review Problems
Final Exam

The cummulative final exam was given from 8:30-11:30 a.m. in MMS 140 on Wednesday, May 2nd.

Questions and comments concerning this page should be addressed to bmiceli AT trinity DOT edu.