UNIVERSITY OF MIAMI
 

Kenneth L. Baker
k.baker@math.miami.edu
http://www.math.miami.edu/~kenken/

Ungar 407, 305.284.2160
Department of Mathematics
University of Miami

Math 230 - S - Intro to Abstract Math

Tues/Thurs 11:00AM - 12:15PM, Whitten LC 194


Office Hours: Mondays 1-3pm and by appointment

Course Description:
Text: Intro to Mathematical Thinking, Gilbert

Exams: There will be three exams.
      Exam1. TUES Sept 16    Exam2. TUES Oct 14    Exam 3. THURS Nov 13

You will be responsible for the material covered in the lectures, the readings, and the homework.
* Dates of Exams are subject to change.

Homeworks: Homework will be assigned below.

Grades: Overall Score = Hwk 25% + Exam1 25% + Exam2 25% + Exam3 25%
Letter grades will approximately follow standard cutoffs A>90, B>80, C>70.

Academic Honesty: Each student will uphold the University of Miami Honor Code.


Homeworks and Notes

Week Readings HWK and Notes
Aug 26, 28 1.1 - 1.3

What is Math?
What are proofs?
Euclid's Elements

HWK1 Due Tues Sept 2

Sept 2, 4 1.5, 6.1, beginning of 6.5
(also peruse 1.4,1.6, 6.2-6.5)

Logic, Sets, Functions

HWK2 Due Tues Sept 9

Sept 9, 11 6.6

Functions
Axioms for the integers. Handout

No HWK for Sept 16

Sept 16, 18 2.1 EXAM1 TUES Sept 16
Divisibility

HWK3 Due Tues Sept 23

Sept 23, 25 2.1 - 2.2 The Division Algorithm
The Euclidean Algorithm

HWK4 Due Tues Sept 30

Oct -1, 2 2.3 Diophantine Equations

HWK5 Due Thurs Oct 9

Oct 7, 9 2.5 Primes
Oct 14, 16 EXAM 2 EXAM2 TUES Oct 14
FALL RECESS Thurs Oct 16
Oct 21, 23 5.1, 3.1-3.3 Congruences and Equivalence Relations
HWK6 Due Tues Oct 28
Oct 28, 30 4.1-4.2 Induction, Fibonacci numbers
HWK7 Due Tues Nov 4
Nov 4, 6 4.3 Binomial Theorem, Counting
HWK8 Not Due
Nov 11, 13 EXAM 3 EXAM 3 THURS Nov 13
Nov 18, 20 3.4, 7.1-7.4 Fermat's Little Theorem, Cryptography
HWK9 Due Tues Dec 2
Nov 25, 27 THANKSGIVING RECESS
Dec 2, 4 3.7, misc Fermat-Euler, Infinites, Dimensions
HWK10 NOT DUE
Dec 7 Last day of class