Schedule
|
Unit 1: Numbers and Patterns
|
Week
|
Topic
|
Monday January 22
|
#1: Introduction: Why Math? (CNBC,
"Math-Challenged Americans...") |
| Wednesday January 24 |
#2: What is
Mathematics?
(Devlin's Prologue) |
Friday January 26
|
#3: The
Poison Game and Introduction to Modular Arithmetic
(Optional: A Primer on Modular Arithmetic) |
Monday
January 29
|
#4: Looking for
Patterns In Numbers (Eves,
Pythagorean Arithmetic) |
Wednesday
January 31
|
#5:
Mathematical
Induction (Gauss: The Child
Genius) |
Friday
February 2
|
Mathematical
Induction, continued
(Optional: Mathematical Induction) |
Monday February 5
|
CLASS CANCELLED
|
Wednesday February 7
|
#6: Looking
for Numbers in Patterns
Optional (How UPC Bar Codes Work) and (ISBN
FAQ)
|
Friday February 9
|
#7: Many Multiplications: An Algorithm Example
Optional videos (Grid
Method), (Lattice method) and (3
Ways To Multiply)
|
Monday
February 12
|
#8 The
Fundamental Theorem of Arithmetic (& Prime Time)
Resource: Number Theory Handout and The First
1000 Primes
Optional (Ramunajan, Fermat's Little Thorem, Fermat' Last Theorem, Fifteen Theorem)
Resource: Fermat's
Little Theorem calculator
|
Wednesday
February 14
|
#9:
All
Numbers Are Not Rational!
Resource: Khan Academy video on Irrationality of \(\sqrt{2}\)
|
Friday
February 16
|
CLASS CANCELLED
|
Monday February 19
|
Presidents Day Holiday (No
Class) |
Wednesday February 21
|
#10:
All
About That Base: Binary, Quinary and
Septenary
Resource: Base Number Converter |
Friday February 23
|
#11: Everything
You Ever Wanted To Know About Hex
(Hexadecimal Color Wheel) |
| Unit 2: Logic, Proof and
Infinity |
| Monday
February 26 |
#12:
Introduction
to Logic: Truth Tables
Web Resource: Intro to Logic
|
| Wednesday
February 28 |
#13: Mathematical Logic: Implications
Web Reading (Wikipedia): Modus
ponens and Modus tollens
Reading: (Devlin, Truth Tables)
|
Friday
March 1
|
#14: Mathematical Logic: Conclusions
|
Monday March 4
|
|
Wednesday March 6
|
Midterm Exam
|
Friday March 8
|
CLASS CANCELLED
|
| Monday
March 11 |
Spring
Break
|
Wednesday
March 13
|
Spring
Break |
Friday
March 15
|
Spring
Break |
Monday March 18
|
16:
Introduction
to Infinite Sequences and Series
(Web Reading: Zeno's Paradox) |
Wednesday March 20
|
17: Infinitesimals,
Part 1: The Differential Calculus |
Friday March 22
|
18: Infinitesimals, Part 2: The
Integral
Calculus |
| Monday
March 25 |
19: The Fundamental Theorem of Calculus |
| Wednesday
March 27 |
20: Power Sets, Infinite Sets, Bijections
and
Cardinality
(Reading on Transfinite Numbers) |
| Friday
March 29 |
21: Aleph
One and All That: The Continuum Hypothesis
Video: Comparing
Infinite Sets, Numberphile's "Infinity is Bigger Than You Think"
|
Unit 3: Symmetry and Shapes
|
| Monday April 1 |
22: Introduction
to Symmetry and Shapes (Devlin on Symmetry Groups) |
| Wednesday April 3 |
23: Euclid, Geometry and
The
Platonic Solids
Video: Non-Euclidean
Geometry
Web Resource: Platonic Solids Online
|
| Friday April 5 |
24: Frieze (Strip)
Patterns: Translational Symmetry
Web Resource: Website
on Frieze Patterns |
| Monday
April 8 |
Class Cancelled
|
| Wednesday
April 10 |
#25: Euler and Graph Theory
Web Resource: The Euler Archive
|
| Friday
April 12 |
#26: Euler and
Topology
Web Resource: Eulerian
Graph and Hamiltonian Graph |
| Monday April 15 |
27:
Tessellations: Tiling The Plane
Web Resource: New Pentagonal Tiling Found (2015). New "Einstein" Discovered/Created (March 2023).
|
| Wednesday April 17 |
Class Cancelled
|
Friday
April 19
|
Class Cancelled
|
Monday
April 22
|
#28: Ambigrams
|
Wednesday
April 24
|
Project
Presentations |
Friday
April 26
|
Project
Presentations |
Monday April 29
|
LAST
DAY OF CLASS
|