Seyed M. Moghadas, PhD

Associate Professor of Applied Mathematics

Extended Problems, Conjectures, and Proofs - MATH 2200

Class location: ACW 209

Class meetings: Wed.

Time: 15:30 - 17:00

Office hours: 12:00 - 13:00 (Every Wed.)

Office location: Ross Bldg. S619

Term: Y 2017 - 2018

  • Final exam will cover all subjects of the course. These include:
    • Structure of Mathematical Statements (statements, statement forms, logical equivalence, negations, quantifiers, definitions, truth tables, and Venn diagrams)
    • Methods of Proof (direct, contrapositive, contradiction, induction)
    • Introduction to Sets (operations on sets, relation between sets, indexed family of sets)
    • Relations and Mappings (equivalence relation and class, mappings, binary operations, composite and invertible mappings)
  • Solutions for Midterm and Quiz 2 (PDF)
  • Marks (PDF)

Tutorials for this course are held on Monday every week at 6:00 pm. Locations are Vari Hall, rooms 1016 and 1018 

Course Outline (PDF)

  • The Structure of Mathematical Statements
  • Methods of Proof
  • Introduction to Sets
  • The Integers
  • Relations and Function

Text book and References

  • A Transition to Mathematics with Proofs, M.J. Cullinane -- Jones & Bartlett Learning
  • Lecture notes will be presented

Evaluation Criteria

  • Quiz 1: 8%
  • Quiz 2: 8%
  • Midterm test: 34%
  • Final exam: 50%
  • Note: There will be no plussage
  • Note: If a student is not able to write the midterm test for a documented medical reason, then the final exam will be worth 84%. Missing quiz 1 will be added to the midterm test, and missing quiz 2 will be added to the final exam. Medical notes for missing a quiz or midterm should be provided within 1 week of the exam date. 
    • Note: Attending Physician's Statement must be filled:

Exam Requirements

  • Student Photo ID
  • Course materials and text books are not allowed
  • Calculators are not allowed

Important Dates

  • Quiz 1: Wednesday, November 1, 2017
  • Midterm test: December 2017 (exact date will be announced later)
  • Quiz 2: Wednesday, February 28, 2018
  • Final exam: Will be announced later 

Practice Problems

Practice 1

Practice 2

Practice 3

Practice 4

Practice 5

Practice 6

Practice 7

Practice 8

Practice 9

Practice 10

Practice 11

Practice 12

Important Notes

  • All academic work must meet the standards contained in "Policies, Procedures, and Regulations". Students are responsible for informing themselves about those standards and understanding the consequences of academic dishonesty before performing any course-related work.
  • Electronic devices (e.g., cell/head phones, CD players) should NOT be used during lectures. No telecommunication with outside the class is allowed while attending the lectures.
  • Students with documented disabilities requiring academic accommodations for tests/exams or during lectures/laboratories are encouraged to contact the Counselling and Disability Services at 416-736-5297 to discuss appropriate options. Specific information about CDS is available on-line at