A Journey Into The World of Problem-Solving

Home Page For Math 2790

Tour Times

• Tuesdays and Thursdays, 8:35 - 9:55 AM, LSC 212

Tour Guide

• Richard Hoshino, Chase Building, Room 327: hoshino@mscs.dal.ca

Places We Will Visit In This Journey

• This is my Vision for Math 2790.
• Here is the Course Outline.
• Here is the Course Syllabus
• Take the Soloman Felder Index of Learning Styles Test.
• Please tell me something about yourself by filling out this questionnaire.

Assessment

• Participation: 10%
• Weekly proofs: 10%
• Assignments: 20%
• Midterm: 20%
• Final: 40%

Tours (Problems From Classes)

• Tour 1 - Parity
• Tour 2 - Pigeonhole Principle
• Tour 3 - Symmetry
• Tour 3 - Jigsaw Activity on Symmetry
• Tour 4 - Proof by Contradiction
• Tour 5 - Mathematical Induction
• Tour 6 - Sum of Cubes
• Tour 7 - Perfect Numbers
• Tour 8 - Diophantine Equations
• Tour 9 - Modular Arithmetic
• Tour 10 - More Magnificent Modular Arithmetic
• Tour 11 - Quadratic Residues
• Tour 13 - All Triangles Are Equilateral!
• Tour 14 - Ceva's Theorem
• Tour 15 - The Euler Line
• Tour 16 - Proof of the Euler Line
• Tour 17 - Circle Theorems
• Tour 18 - Problems Involving Circles
• Tour 20 - Probability Puzzles
• Tour 21 - The Price is Right!
• Tour 22 - Binomial Coefficients
• Tour 23 - Step Theory
• Tour 24 - One Final Fun Problem

Course Notes

• Chapter 1 - Parity
• Chapter 2 - Pigeonhole Principle
• Chapter 3 - Symmetry
• Chapter 4 - Proof by Contradiction
• Chapter 5 - Mathematical Induction
• Chapter 8 - Diophantine Equations
• Chapter 9 - Modular Arithmetic
• Chapter 10 - More Magnificent Modular Arithmetic
• Chapter 11 - Quadratic Residues
• Chapter 13 - All Triangles Are Equilateral!
• Chapter 14 - Ceva's Theorem
• Chapter 15 - The Euler Line
• Chapter 17 - Circle Theorems
• Chapter 18 - Problems Involving Circles
• Chapter 20 - The Game of Craps
• Chapter 21 - The Price is Right!
• Chapter 22 - Binomial Coefficients

Other Handouts

• Handout on the Pigeonhole Principle
• The Locker Room Scenario
• Introduction to Binomial Coefficients
• The Ubiquitous Golden Mean (Ravi Vakil)
• Midterm Course Evaluation

Weekly Proofs

• Week 1 ~ (Solution to Week 1)
• Week 2 ~ (Solution to Week 2)
• Week 3 ~ (Solution to Week 3)
• Week 4 ~ (Solution to Week 4)
• Week 5 ~ (Solution to Week 5)
• Week 6
• Week 8 ~ (Solution to Week 8)
• Week 10 ~ (Solution to Week 10)
• Week 11 ~ (Solution to Week 11)
• Week 12 ~ (Solution to Week 12)

Assignments

• Assignment 1 ~ (Solutions to Assignment 1)
• Assignment 2 ~ (Solutions to Assignment 2)
• Assignment 3 ~ (Solutions to Assignment 3)
• Assignment 4 ~ (Solutions to Assignment 4) ~ (Solution to Big Wheel) ~ (Solution to Function Problem)

Final

• Here is the Math 2790 Final Exam
• Here are the cover pages for the Math 2790 Final Exam.
• Here is the List of Original Problems, two of which will appear on your exam.
• Here is the Shortlist of Problems that will help you prepare for the exam.

Last modified: May 28^th, 2002 by Richard Hoshino