MAT 246 — Week 12

Problem Set #3 is due this Friday. No office hours tomorrow.

Exam Office Hours:

• Thursday April 6th 12-2pm in HU 1009
• Tuesday April 11th 12-2pm in HU 1009

Additional Resources:

• Euclid’s Big Problem by Numberphile. (With Toronto graduate, Z. Dancso!)

Notes:

The notes are available here.

MAT 246 — Week 10

Quiz 5 is this week.

Additional resources:

• Euclid’s Elements by David E. Joyce of Clark U.
• Euclid’s Elements on Wikipedia
• The Parallel Postulate on Cut-The-Knot
• Ditching the Fifth Postulate by Numberphile

Notes:

The notes are available here.

MAT 246 — Week 9

Midterm #2 is this Friday.

Additional resources:

• Cantor-Bernstein on Wikipedia
• Cantor’s diagonal argument on Wikipedia
• Pi is smaller than 22/7 on Wikipedia
• Cantor-Bernstein on Cut-the-Knot

Notes:

The notes are available here.

MAT 246 — Week 8

Term test #2 will be on Friday, March 17th.

Additional resources:

• Professor Burbulla’s notes on Chapter 10
• Hilbert’s Hotel from TED-Ed

Notes:

The notes are available here.

MAT 246 — Week 7

Problem Set #2 is due on Friday.

Additional resources:

• Professor Burbulla’s notes on Chapter 10
• Sets on Wikibooks
• Union and Intersection on Khan Academy
• Infinity is bigger than you think from Numberphile
• A Heirarchy of Infinities from PBS Infinite Series

Notes:

The notes are available here.

MAT 246 — Week 6

Quiz 3 is this week. Please write it in your tutorial.

Additional resources:

• Dimensions Chapter 5 — The Complex Numbers
• Dimensions Chapter 6 — The Mandelbrot Set
• Professor Burbulla’s notes on Chapter 9 are available.
• The Complex Numbers on Wikipedia
• De Moivre’s Formula on Wikipedia
• The Fundamental Theorem of Algebra from Khan Academy
• Polar and rectangular forms from Khan Academy
• The Fundamental Theorem of Algebra from Numberphile

Notes:

 The notes for this week are available here.

MAT 246 — Week 5

Test 1 is this Friday. Make sure your calendar is free. Good luck!

Additional resources:

• A realistic example of RSA from Doctrina
• The Original Paper by R.L. Rivest, A. Shamir, and L. Adleman
• The RSA Cryptosystem on Wikipedia
• Irrational numbers on Wikipedia
• The RSA Cryptosystem from Khan Academy
• Rational and Irrational Numbers from Khan Academy

Notes:

The notes are available here.

MAT 246 — Week 4

Quiz 2 is this week. Please write it in your tutorial.

Office hours: 12-2pm Wednesday in HU 1009.

Additional resources:

• Euclidean Algorithm Example Generator by Alex Fink
• Professor Burbulla’s notes are available here: Chapter 5 and Chapter 7
• The Euclidean Algorithm on Wikipedia
• Wilson’s Theorem on Wikipedia
• Fermat’s Theorem on Wikipedia
• Greatest common divisor from Khan Academy
• The Euclidean Algorithm from Khan Academy

Notes:

The notes are available here.

MAT 246 — Week 3

Problem Set 1 due this Friday. Please hand it in by 2pm in the PG Math Aid Center.

Office hours: Tuesdays 12-2pm in HU 1009.

Additional resources:

• Modular Arithmetic on Wikipedia
• Professor Burbulla’s notes are availabl here: Chapter 3 and Chapter 4.
• The Fundamental Theorem of Arithmetic on Wikipedia
• Euclid Book 7 Propositions 30-32 from Clark University
• Modular Arithmetic from Khan Academy

Notes:
The notes are available here. (Update: The notes are now readable.)

MAT 246 — Week 2

Quiz 1 is this week. Please write it in your tutorial. Problem Set 1 Draft 1 has been posted.

Additional resources:

• Professor Burbulla’s lecture notes on Chapter 2
• Wikipedia on mathematical induction
• Wikibooks on proof by induction

Notes:

The notes are available here.