Schedule

Unit 1: Numbers and Patterns

Week

Topic

Monday January 22

#1: Introduction: Why Math? (CNBC,
"MathChallenged 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: NonEuclidean
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
