All of the material I’ve made for MAT102: Introduction to Proofs can be found here.
LaTeX: If you’re interested in the LaTeX source, please email me. I’m happy to share!
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
- 25_Strong_Induction
- 26_Binary_Representation
- 27_Injections_Surjections_Bijections
- 28_Inverse_functions
- 29_Compositions
- 30_Cardinality_Definitions
- 31_Cardinality_Examples
- 32_Countability_Intro
- 33_Countability_Diagonalization
- 34_Countability_Rationals
- 35_Power_Set
- 36_Paradoxes
- 37_Cantors_Theorem
- 38_Number_Theory_Division_Algorithm
- 39_Number_Theory_GCD_and_LCM
- 40_Number_Theory_Euclidean_Algorithm
- 41_Number_Theory_FTA
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
- MAT102_S2020_PS5 – Tex – MAT102_S2020_PS5_Solns
- MAT102_S2020_PS6 – Tex – MAT102_S2020_PS6_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
Fall 2019
- MAT102_F2019_Tutorials – Tex
Tests, Quizzes, and Final Exams
Summer 2020
- Quizzes
- Final Exam
- MAT102_S2020_FINAL_EXAM (No instructor solutions were made for the exam)
Fall 2019
- Test
- Quizzes
- Final Exam
Other Materials
- Fall 2019 – Exam Jam Handout –