Math 170 Topics (Fall 2007)

# Math 170: Ideas in Mathematics (Fall 2007)

## Tuesday, Thursday 12 pm - 1:30 pm DRL A1

 Faculty: Nate Ackerman TA: Andrew Rupinski E-mail: nate AT math.upenn.edu E-mail: rupinski AT math.upenn.edu

This is the approximate schedule of what should be covered in class with the associated reading. Check back to this page for updates throughout the course. With regards to the reading column, Heart of Math refers to the textbook by Burger and Starbird while Magic Numbers refers to the textbook by Gross and Harris.

Day of Week Date Topics Reading
Thursday September 6
 Introduction, Explanation of Grading, Math Anxiety.
 Heart of Math Chapter 1
Tuesday September 11
 Natural Numbers Pigeonhole Principle
 Heart of Math Chapter 2.1
Thursday September 13
 Fibonacci Numbers Continued Fractions Golden Ratio
 Heart of Math Chapter 2.2
Tuesday September 18
 Prime Numbers Proof of Prime Infitude Definition of Relatively Prime Fundamental Theorem of Arithmetic
 Heart of Math Chapter 2.3
Thursday September 20
 Basic Types of Codes Problems With These Codes RSA
 Heart of Math Chapter 2.4
Tuesday September 25
 Rational vs Irrational Numbers
 Heart of Math Chapter 2.5, 2.6
Thursday September 27
 Cardinality, Bijections, Injections and Surjections Definition of Infinite Definition of Countable, Rationals are Countable All Line Segments In The Plane The Same Cardinality
 Heart of Math Chapter 3.1, 3.2, 3.5
Tuesday October 2
 Reals Are Uncountable Order on Cardnalities A <= B and B <= A implies A = B
 Heart of Math Chapter 3.3
Thursday October 4
 Powerset Continuum Hypothesis
 Heart of Math Chapter 3.4
Tuesday October 9
 Pythagoras' Theorem Golden Rectangle
 Heart of Math Chapter 4.1, 4.3
Thursday October 11
 Platonic Solids
 Heart of Math Chapter 4.5
Tuesday October 16
 Fall Break

Thursday October 18
 Review

Tuesday October 23
 MIDTERM

Thursday October 25
 Discrete Dynamical Systems Population Spider Diagrams Game of Life
 Heart of Math Chapter 6.1, 6.2
Tuesday
October 30

 Fractas Sirpinski Gasket, Cantor Line Self Similarity
 Heart of Math Chapter 6.3
Thursday November 1
 Complex Numbers Fundamental Theorem of Algebra Mandlebrot and Julia Sets Chaos Stable and Unstable Equilibrium
 Heart of Math Chapter 6.4, 6.5
Tuesday November 6
 Definition of Dimension
 Heart of Math Chapter 6.6
Thursday November 8
 Basic Probabilities Lets Make A Deal Birthday Question
 Heart of Math Chapter 7.1
Tuesday November 13
 How to Calculate Probabilities
 Heart of Math Chapter 7.2
Thursday November 15
 Coincidences Infinite Monkey Theorem

 Heart of Math Chapter 7.3
Tuesday November 20
 Calculating Probabilities Of Multiple Events Induction
 Heart of Math Chapter 7.4
Thursday November 22
 Thanksgiving

Tuesday November 27

Thursday November 29

Tuesday December 4

Thursday December 6
 Review

Thursday
December 13
 FINAL EXAM

This page was created by Nate Ackerman, and last revised on August 27, 2007.