All of the material I’ve made for MAT102: Introduction to Proofs can be found here.
Videos
Slides
Summer 2020
- 0_Introduction
- 1_number_systems
- 2_divisibility
- 2_even_odd
- 3_axioms
- 4_Mathematical_Statements
- 5_Truth_and_Falsity
- 6_Logical_Equivalence
- 7_Negation
- 8_Proof_Strategies_Direct_Contrapositive
- 9_Proof_Strategies_Contradiction
- 10_Sets_Intro
- 11_Sets_Constructions
- 12_Sets_Identities_and_counterexamples
- 13_Functions
- 14_Relations
- 15_Equivalence_relations
- 16_Equivalence_Classes
- 17_Inequalities_Axioms
- 18_Inequalities_AMGM
- 19_Inequalities_Triangle_Inequality
- 20_Functions_2
- 21_Sum_Product
- 22_Induction_Intro
- 23_Induction_variations
- 24_Induction_recursion
- [More to come!]
Assignments
Summer 2020
- MAT102_S2020_PS1 – Tex – MAT102_S2020_PS1_Solns
- MAT102_S2020_PS2 – Tex – MAT102_S2020_PS2_Solns
- MAT102_S2020_PS3 – Tex – MAT102_S2020_PS3_Solns
- MAT102_S2020_PS4 – Tex – MAT102_S2020_PS4_Solns
- Problem Set 5 – Tex – Solns
- Problem Set 6 – Tex – Solns
Fall 2019
- MAT102_F2019_PS1 – Tex – MAT102_F2019_PS1_Solns
- MAT102_F2019_PS2 – Tex – MAT102_F2019_PS2_Solns
- MAT102_F2019_PS3 – Tex – MAT102_F2019_PS3_Solns
- MAT102_F2019_PS4 – Tex – MAT102_F2019_PS4_Solns
- MAT102_F2019_PS5 – Tex – MAT102_F2019_PS5_Solns
Tutorials
Summer 2020
- MAT102_S2020_Tutorials_uptoweek9 – [Only until Week 9]
Fall 2019
- MAT102_F2019_Tutorials – Tex
Tests
Summer 2020
- MAT102_S2020_Quiz_1 – Tex – MAT102_S2020_Quiz_1_Solns
- MAT102_S2020_Quiz_2 – Tex – MAT102_S2020_Quiz_2_Solns
- MAT102_S2020_Quiz_3 – Tex – MAT102_S2020_Quiz_3_Solns
- Quiz 4 – Tex – Solns
- Quiz 5 – Tex – Solns
Fall 2019
- MAT102_F2019_Quiz1_v1– Tex – MAT102_F2019_Quiz1_v1_Solns
- MAT102_F2019_Quiz2_v1 – Tex – MAT102_F2019_Quiz2_v1_Solns
- MAT102_F2019_Test_v1 – Tex – MAT102_F2019_Test_v1_Solns
- MAT102_F2019_Quiz3_v1 – Tex – MAT102_F2019_Quiz3_v1_Solns
- MAT102_F2019_Quiz4_v1 – Tex – MAT102_F2019_Quiz4_v1_Ssolns
Other Materials
- Fall 2019 – Exam Jam Handout – MAT102_F2019_Exam_Jam_handout
