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.
Week | Readings | HWK and Notes |
---|---|---|
Aug 26, 28 | 1.1 - 1.3 | What is Math? 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 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 |