Core unitUnit 1 of 24

Introduction to Proofs

Introduction to Proofs lays the foundation for higher mathematics by teaching the language, logic, and reasoning used throughout the discipline. This unit is originally Introduction to Mathematical Proofs (MAT102) by instructor: Dr. Mike Pawliuk for the University of Toronto Mississauga.

Difficulty

Beginner

Estimated study

123 hours

Duration

Self-paced

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Module 5 of 10lesson

Module 5 — Functions and relations

Core competencies: domain, codomain and range; formal definition of a function; relations between objects; reflexive, symmetric and transitive relations; partitions and equivalence classes.

Lecture 1 of 7

Intro to Proofs - Functions

Resource summary

This is the intro video for a university course about Introduction to Mathematical Proofs. Topics covered: 1. Function definitions (domain, codomain, range, image) 2. Arrow notation 3. Difference between codomain and range This was originally made for the University of Toronto Mississauga in Summer 2020, for MAT102. All material for the course can be found at: https://mikepawliuk.ca/introduction-to-proofs/

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Quiz 3

practice

Quiz 3 - Solutions

practice

Introduction to Proofs

Module 1 — Entering University Mathematics

Module 2 — Mathematical language and logic

Module 3 — Fundamental proof strategies

Module 4 — Sets

Module 5 — Functions and relations

Module 6 — Inequalities and mathematical arguments

Module 7 — Induction and recursion

Module 8 — Advanced function concepts

Module 9 — Cardinality and infinity

Module 10 — Elementary number theory

Module 5 — Functions and relations

Intro to Proofs - Functions

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