COMP2711H (L1) - Honors Discrete Mathematical Tools for Computer Science

COMP2711H (L1) - Honors Discrete Mathematical Tools for Computer Science

Course Modules

Lecture 1: Proposotional Logic (2 September 2024)

Lecture 1: Proposotional Logic (2 September 2024)
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Lecture 1: Proposotional Logic (2 September 2024) 214187  
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    Please read the syllabus!

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    Lecture Video Lecture Video
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    Amir's Notes Amir's Notes
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    Xuran's Notes Xuran's Notes
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    Reading: Chapter 2 of Grimaldi (Fundamentals of Logic)

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    Video: Proofs Video: Proofs
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Lecture 2: Predicate Logic and Peano's Axioms (2 September 2024)

Lecture 2: Predicate Logic and Peano's Axioms (2 September 2024)
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Lecture 2: Predicate Logic and Peano's Axioms (2 September 2024) 214188  
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    Lecture Video Lecture Video
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    Amir's Notes Amir's Notes
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    Xuran's Notes Xuran's Notes
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    Reading: Chapter 2 of Grimaldi (Fundamentals of Logic)

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    Video: Peano Axioms Video: Peano Axioms
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Lecture 3: Induction, Well-ordering and Infinite Descent (4 September 2024)

Lecture 3: Induction, Well-ordering and Infinite Descent (4 September 2024)
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Lecture 3: Induction, Well-ordering and Infinite Descent (4 September 2024) 214490  
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    Lecture Video Lecture Video
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    Amir's Notes Amir's Notes
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    Xuran's Notes Xuran's Notes
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    Video: Induction Video: Induction
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    Video: 2+2=4 Video: 2+2=4
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    Reading: Mathematical Induction Reading: Mathematical Induction
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    Weekly Problem Set 1 Weekly Problem Set 1
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Lecture 4: Induction Problems and Strong Induction (9 September 2024)

Lecture 4: Induction Problems and Strong Induction (9 September 2024)
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Lecture 4: Induction Problems and Strong Induction (9 September 2024) 214796  
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    Lecture Video Lecture Video
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    Amir's Notes Amir's Notes
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    Zhaorun's Notes Zhaorun's Notes
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    Video: Strong Induction Video: Strong Induction
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    Video: Proof by Strong Induction Video: Proof by Strong Induction
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    Pause the videos whenever a problem is posed and try to solve it on your own first, before watching the solution.

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    Video: Strong Induction Examples Video: Strong Induction Examples
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    Reading: Chatpers 3 and 8 of Engel (The Extremal Principle, The Induction Principle)

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    It is really important that you give **every** problem an honest and serious attempt before reading its solution. You must reach mastery in using mathematical induction and its equivalent forms. All of the future modules in this course depend on such mastery.

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Lecture 5: Solving More Induction Problems (9 September 2024)

Lecture 5: Solving More Induction Problems (9 September 2024)
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Lecture 5: Solving More Induction Problems (9 September 2024) 215183  
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    Lecture Video Lecture Video
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    Amir's Notes Amir's Notes
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    Zhaorun's Notes Zhaorun's Notes
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    Video: Induction Problems Video: Induction Problems
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    Video: Divisibility Problems Solved by Induction Video: Divisibility Problems Solved by Induction
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    Video: Epic Induction Video: Epic Induction
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    Reading: Chatpers 3 and 8 of Engel (The Extremal Principle, The Induction Principle)

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Lecture 6: Counting, Permutations, Combinations, Balls and Walls (11 September 2024)

Lecture 6: Counting, Permutations, Combinations, Balls and Walls (11 September 2024)
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Lecture 6: Counting, Permutations, Combinations, Balls and Walls (11 September 2024) 215205  
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    Lecture Video Lecture Video
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    Amir's Notes Amir's Notes
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    Zhaorun's Notes Zhaorun's Notes
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    Reading: Chapter 1 of Grimaldi (Fundamental Principles of Counting)

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    Reading: Chapter 1 of Chen and Koh (Permutations and Combinations) -- Very Important

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    Reading: Chapter 1 of Ross (Combinatorial Analysis)

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    It is crucial that you solve **every** exercise at the end of these chapters.

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    Weekly Problem Set 2 Weekly Problem Set 2
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    Fun to Read: Which Rectangular Chessboards Have a Knight's Tour? Fun to Read: Which Rectangular Chessboards Have a Knight's Tour?
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Lecture 7: Solving Counting Problems (16 September 2024)

Lecture 7: Solving Counting Problems (16 September 2024)
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    Amir's Notes Amir's Notes
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    Xuran's Notes Xuran's Notes
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    Reading: Chapter 1 of Chen and Koh (Permutations and Combinations) -- Very Important

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    Solve the first 24 Problems of Andreescu and Feng

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Lecture 8: More Counting (16 September 2024)

Lecture 8: More Counting (16 September 2024)
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Lecture 8: More Counting (16 September 2024) 215472  
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    Lecture Video Lecture Video
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    Amir's Notes Amir's Notes
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    Xuran's Notes Xuran's Notes
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    Weekly Problem Set 3 Weekly Problem Set 3
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    Solve Problems 25 to 51 of Andreescu and Feng

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Homework 1

Homework 1
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Homework 1 215737  
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    Homework 1 Homework 1
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TA Session 1 (20 September 2024)

TA Session 1 (20 September 2024)
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TA Session 1 (20 September 2024) 215748  
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    Xuran's Notes (Solutions of Weekly Problem Set 1) Xuran's Notes (Solutions of Weekly Problem Set 1)
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Lecture 9: Principle of Inclusion and Exclusion (23 September 2024)

Lecture 9: Principle of Inclusion and Exclusion (23 September 2024)
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    Amir's Notes Amir's Notes
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    Xuran's Notes Xuran's Notes
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    Reading: Chaptes 2 and 4 of Chen and Koh (Binomial Coefficients, Inclusion-Exclusion)

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    Video: Inclusion-Exclusion Example Video: Inclusion-Exclusion Example
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    Video: 3-set PIE Video: 3-set PIE
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    Video: Counting using PIE Video: Counting using PIE
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Lecture 10: Generalized Principle of Inclusion and Exclusion (23 September 2023)

Lecture 10: Generalized Principle of Inclusion and Exclusion (23 September 2023)
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    Amir's Notes Amir's Notes
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    Xuran's Notes Xuran's Notes
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    Reading: Chaptes 2 and 4 of Chen and Koh (Binomial Coefficients, Inclusion-Exclusion)

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    Reading: Chapter 8 of Grimaldi (Inclusion-Exclusion)

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    Video: Inclusion-Exclusion Video: Inclusion-Exclusion
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    Video: PIE Problems Video: PIE Problems
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    Video: Generalized PIE Video: Generalized PIE
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    Video: Derangements Video: Derangements
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Lecture 11: Pigeonhole Principle (25 September 2024)

Lecture 11: Pigeonhole Principle (25 September 2024)
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    Amir's Notes Amir's Notes
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    Xuran's Notes Xuran's Notes
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    Reading: Chapter 3 of Chen and Koh (Pigeonhole and Ramsey)

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    Reading: Chapter 4 of Engel (Box Principle)

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    Solve Advanced Problems 1 to 15 of Andreescu and Feng

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    Video: Pigeonhole Principle Video: Pigeonhole Principle
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    Video: Pigeonhole Principle Examples Video: Pigeonhole Principle Examples
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    Video: Pigeonhole Principle - Establishing a Pattern Video: Pigeonhole Principle - Establishing a Pattern
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    Video: Pigeonhole Principle - Generalizing the Cases Video: Pigeonhole Principle - Generalizing the Cases
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    Playlist: More Advanced Pigeonhole Principle Problems Playlist: More Advanced Pigeonhole Principle Problems
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    Weekly Problem Set 4 Weekly Problem Set 4
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TA Session 2 (27 September 2024)

TA Session 2 (27 September 2024)
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TA Session 2 (27 September 2024) 216112  
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Lecture 12: Graphs, Trees, Paths and Walks (30 September 2024)

Lecture 12: Graphs, Trees, Paths and Walks (30 September 2024)
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    Amir's Notes Amir's Notes
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    Reading: Sections 1.1 and 1.2 of West (What is a Graph?, Paths, Cycles and Trails)

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    Most of the theorems we proved in class were from these sections, but the proofs are often different. So, you should read the book and also solve the exercises.

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    Video Playlist: Introduction to Graph Theory Video Playlist: Introduction to Graph Theory
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    Video Playlist: Watch Lectures 1 to 4 Video Playlist: Watch Lectures 1 to 4
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Lecture 13: More Theorems on Graphs and Trees (30 September 2024)

Lecture 13: More Theorems on Graphs and Trees (30 September 2024)
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    Amir's Notes Amir's Notes
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    Zhaorun's Notes Zhaorun's Notes
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    Reading: Sections 1.3 and 1.4 of West (Vertex Degrees & Counting, Directed Graphs)

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    When reading this text, read each theorem but try to prove it yourself first before reading the proof. Also, make sure you solve all the exercises.

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    Solve Advanced Problems 16 to 30 of Andreescu and Feng

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    Video Playlist: Watch from 10.1.1 to 11.1.1 Video Playlist: Watch from 10.1.1 to 11.1.1
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    Recommended to Watch: Graph Theory Background Recommended to Watch: Graph Theory Background
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Lecture 14: Even More Theorems on Graphs and Trees (2 October 2024)

Lecture 14: Even More Theorems on Graphs and Trees (2 October 2024)
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    Amir's Notes Amir's Notes
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    Reading: Sections 2.1 and 2.2 of West (Trees and Distance: Basic Properties, Spanning Trees)

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    Recommended to Watch: DFS and BFS Recommended to Watch: DFS and BFS
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    Reading: Chapters 11 and 12 of Grimaldi (Graph Theory, Trees)

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    Weekly Problem Set 5 Weekly Problem Set 5
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TA Session 3 (4 October 2024)

TA Session 3 (4 October 2024)
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TA Session 3 (4 October 2024) 216270  
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    Lecture Video Lecture Video
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    Zhaorun's Notes Zhaorun's Notes
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    Video: Recurrence for Number of Partitions Video: Recurrence for Number of Partitions
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Lecture 15: Minimum Spanning Trees, Directed Graphs, DAGs (7 October 2024)

Lecture 15: Minimum Spanning Trees, Directed Graphs, DAGs (7 October 2024)
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    Lecture Video Lecture Video
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    Amir's Notes Amir's Notes
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    Xuran's Notes Xuran's Notes
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  • External Url
    Video: Kruskal's Algorithm Video: Kruskal's Algorithm
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    Video: Prim's Algorithm Video: Prim's Algorithm
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  • Context Module Sub Header

    Before watching the next video, try to prove that Prim's algorithm is correct. Can you find a proof similar to the one we saw for Kruskal?

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    Video: Minimum Spanning Trees Video: Minimum Spanning Trees
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  • Context Module Sub Header

    Reading: Chapters 1 and 2 of West (Fundamental Concepts, Trees and Distance)

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  • Context Module Sub Header

    You should read everything in these two chapters, including parts that are marked as "optional" in the book and solve all exercises.

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  • Context Module Sub Header

    Solve Advanced Problems 31 to 40 of Andreescu and Feng

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Lecture 16: Tree-based Algorithms and Huffman Coding (7 October 2024)

Lecture 16: Tree-based Algorithms and Huffman Coding (7 October 2024)
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    Amir's Notes Amir's Notes
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    Xuran's Notes Xuran's Notes
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    Reading: Section 2.3 of West (Optimization and Trees)

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    Video: Huffman Coding and Huffman Trees Video: Huffman Coding and Huffman Trees
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    Video: Huffman Coding Example Video: Huffman Coding Example
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    Recommended Video: Huffman Coding + Code Recommended Video: Huffman Coding + Code
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    Recommended Video: Dynamic Programming on Trees Recommended Video: Dynamic Programming on Trees
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Lecture 17: Distance, Shortest Paths and Matchings (9 October 2024)

Lecture 17: Distance, Shortest Paths and Matchings (9 October 2024)
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    Amir's Notes Amir's Notes
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    Xuran's Notes Xuran's Notes
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    Video: BFS Visualized and Explained Video: BFS Visualized and Explained
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    Video: Dijkstra's Algorithm Video: Dijkstra's Algorithm
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    Video: Strongly Connected Components and Dijkstra's Algorithm Video: Strongly Connected Components and Dijkstra's Algorithm
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    Video: Matchings Video: Matchings
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    Video: Maximal and Maximum Matchings Video: Maximal and Maximum Matchings
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    Video: Matchings and Augmenting Paths Video: Matchings and Augmenting Paths
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    Video: Incremental Improvement - Matching Video: Incremental Improvement - Matching
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    Weekly Problem Set 6 Weekly Problem Set 6
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Homework 2

Homework 2
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Homework 2 216472  
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    Homework 2 Homework 2
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TA Session 4 (11 October 2024)

TA Session 4 (11 October 2024)
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TA Session 4 (11 October 2024) 216558  
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    Lecture Video Lecture Video
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    Xuran's Notes Xuran's Notes
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Lecture 18: Matchings, Vertex Covers, Edge Covers and Independent Sets (14 October 2024)

Lecture 18: Matchings, Vertex Covers, Edge Covers and Independent Sets (14 October 2024)
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Lecture 18: Matchings, Vertex Covers, Edge Covers and Independent Sets (14 October 2024) 216593  
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    Amir's Notes Amir's Notes
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    Zhaorun's Notes Zhaorun's Notes
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  • Context Module Sub Header

    Reading: Section 3.1 of West (Matchings and Covers)

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Lecture 19: Network Flow and the Ford-Fulkerson Algorithm (14 October 2024)

Lecture 19: Network Flow and the Ford-Fulkerson Algorithm (14 October 2024)
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    Amir's Notes Amir's Notes
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    Zhaorun's Notes Zhaorun's Notes
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  • Context Module Sub Header

    Reading: Section 4.3 of West (Network Flow Problems)

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    Video: Maximum Flow and Ford-Fulkerson Video: Maximum Flow and Ford-Fulkerson
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    Video: Flow Networks and Maximum Flow Video: Flow Networks and Maximum Flow
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    Video: Maximum-Flow Minimum-Cut Algorithm Video: Maximum-Flow Minimum-Cut Algorithm
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    Video: Max-flow and Ford-Fulkerson Video: Max-flow and Ford-Fulkerson
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    Video: Ford-Fulkerson in 5 minutes Video: Ford-Fulkerson in 5 minutes
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Lecture 20: Stable Matchings and Graph Coloring (16 October 2024)

Lecture 20: Stable Matchings and Graph Coloring (16 October 2024)
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    Amir's Notes Amir's Notes
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    Zhaorun's Notes Zhaorun's Notes
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  • Context Module Sub Header

    Reading: Subsection 3.2.3 of West (Stable Matchings)

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  • Context Module Sub Header

    Reading: Section 5.1 of West (Vertex Colorings and Upper Bounds) -- Brooks' Theorem is not part of the syllabus

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    Video: Introduction to Graph Colouring Video: Introduction to Graph Colouring
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    Video: Coloring Code - How Compilers Use Graph Theory Video: Coloring Code - How Compilers Use Graph Theory
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    Video: Applications of Graph Colouring Video: Applications of Graph Colouring
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    Due to the midterm exam, there will be no weekly problem set or tutorial this week.

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Midterm Exam

Midterm Exam
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Midterm Exam 216834  
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    Lecture Video Lecture Video
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    Amir's Notes Amir's Notes
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    Xuran's Notes Xuran's Notes
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Lecture 21: Divisibility and Greatest Common Divisor (21 October 2024)

Lecture 21: Divisibility and Greatest Common Divisor (21 October 2024)
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    Lecture Video Lecture Video
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    Amir's Notes Amir's Notes
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    Xuran's Notes Xuran's Notes
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    Reading: Chapters 1 and 2 of Burton (Preliminaries, Divisibility Theory)

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    Video: Number Theory I Video: Number Theory I
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    Playlist: Introduction to Number Theory (Watch Lectures 3 and 4) Playlist: Introduction to Number Theory (Watch Lectures 3 and 4)
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Lecture 22: Prime Factorizations and the Fundamental Theorem of Arithmetic (21 October 2024)

Lecture 22: Prime Factorizations and the Fundamental Theorem of Arithmetic (21 October 2024)
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    Lecture Video Lecture Video
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    Amir's Notes Amir's Notes
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    Xuran's Notes Xuran's Notes
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    Reading: Sections 2.4 to 3.3 of Burton (Euclid to Goldbach)

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    Video: Primes Video: Primes
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    Solve Problems 1 to 10 of ProjectEuler.net Solve Problems 1 to 10 of ProjectEuler.net
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    Fun to read: Collatz Conjecture Fun to read: Collatz Conjecture
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Lecture 23: Congruence, Modular Multiplicative Inverse and the Chinese Remainder Theorem (23 October 2024)

Lecture 23: Congruence, Modular Multiplicative Inverse and the Chinese Remainder Theorem (23 October 2024)
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    Amir's Notes Amir's Notes
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    Xuran's Notes Xuran's Notes
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    Reading: Chapter 4 of Burton (Congruences)

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    It is really important that you read the book since it provides different proofs than the ones covered in the lecture.

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    Video Playlist: Chinese Remainder Theorem Video Playlist: Chinese Remainder Theorem
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    Make sure you watch all of this playlist, especially the last video.

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    Weekly Problem Set 7 Weekly Problem Set 7
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  • External Url
    Solve Problems 14, 20, 27, 47, 50, 69, 77, 112, 122 and 451 of ProjectEuler.net Solve Problems 14, 20, 27, 47, 50, 69, 77, 112, 122 and 451 of ProjectEuler.net
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TA Session 5 (25 October 2024)

TA Session 5 (25 October 2024)
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TA Session 5 (25 October 2024) 217674  
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    Lecture Video Lecture Video
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    Xuran's Notes Xuran's Notes
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Lecture 24: Fermat's Little Theorem, Euler's Theorem, Wilson's theorem (28 October 2024)

Lecture 24: Fermat's Little Theorem, Euler's Theorem, Wilson's theorem (28 October 2024)
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    Lecture Video Lecture Video
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    Amir's Notes Amir's Notes
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    Zhaorun's Notes Zhaorun's Notes
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    cycles.cpp cycles.cpp
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    Video: Order of an integer modulo n Video: Order of an integer modulo n
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    Video: Fermat's Little Theorem Video: Fermat's Little Theorem
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    Video: Euler's Theorem Video: Euler's Theorem
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    Video: Wilson's Theorem Video: Wilson's Theorem
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    Playlist: Introduction to Number Theory (Watch Lectures 5 to 14, Primes to Euler's Totient) Playlist: Introduction to Number Theory (Watch Lectures 5 to 14, Primes to Euler's Totient)
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    Video: COMP 4541's Number Theory Tutorial - Part II Video: COMP 4541's Number Theory Tutorial - Part II
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    Video: Proof that the Totient Function is Multiplicative Video: Proof that the Totient Function is Multiplicative
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    Video: Explicit Formula for Euler's Totient Function Video: Explicit Formula for Euler's Totient Function
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    Video: Euler's Totient Theorem and Fermat's Little Theorem Video: Euler's Totient Theorem and Fermat's Little Theorem
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  • Context Module Sub Header

    Reading: Chapters 5 and 7 of Burton (Fermat's Theorem, Euler's Generalization of Fermat's Theorem)

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Lecture 25: Diffie-Hellman-Merkle Key Exchange and ElGamal Encryption (28 October 2024)

Lecture 25: Diffie-Hellman-Merkle Key Exchange and ElGamal Encryption (28 October 2024)
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    Lecture Video Lecture Video
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    Amir's Notes Amir's Notes
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    Zhaorun's Notes Zhaorun's Notes
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    Video: Secret Key Exchange Video: Secret Key Exchange
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    Video: The Mathematics behind Diffie-Hellman Video: The Mathematics behind Diffie-Hellman
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    Video: COMP 4541's Diffie-Hellman Lecture Video: COMP 4541's Diffie-Hellman Lecture
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    Video: COMP 4541's Number Theory Tutorial - Part I Video: COMP 4541's Number Theory Tutorial - Part I
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    Video: COMP 4541's ElGamal Lecture Video: COMP 4541's ElGamal Lecture
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    Video: ElGamal Encryption Video: ElGamal Encryption
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  • Context Module Sub Header

    Recommended Reading: Chapter 10 of Burton (Intro to Crypto)

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Lecture 26: RSA Encryption and Digital Signatures (30 October 2024)

Lecture 26: RSA Encryption and Digital Signatures (30 October 2024)
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Lecture 26: RSA Encryption and Digital Signatures (30 October 2024) 217745  
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    Lecture Video Lecture Video
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    Amir's Notes Amir's Notes
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    Zhaorun's Notes Zhaorun's Notes
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    Video: Breaking RSA Video: Breaking RSA
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    Video: What are Digital Signatures? Video: What are Digital Signatures?
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    Video: COMP 4541's RSA Lecture Video: COMP 4541's RSA Lecture
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    Video: COMP 4541's Digital Signatures Lecture Video: COMP 4541's Digital Signatures Lecture
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    Video: The RSA Cryptosystem and Efficient Exponentiation Video: The RSA Cryptosystem and Efficient Exponentiation
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    Video: Diffie-Hellman Key Exchange and the Discrete Log Problem Video: Diffie-Hellman Key Exchange and the Discrete Log Problem
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    Reading: Side-channel Attacks (Wikipedia) Reading: Side-channel Attacks (Wikipedia)
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    Reading: Power Analysis (Wikipedia) Reading: Power Analysis (Wikipedia)
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  • Attachment
    Weekly Problem Set 8 Weekly Problem Set 8
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TA Session 6 (1 November 2024)

TA Session 6 (1 November 2024)
Module Completed Module In Progress Module Locked
TA Session 6 (1 November 2024) 217874  
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    Lecture Video Lecture Video
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    Lecture Video: Addendum on Problem 3 Lecture Video: Addendum on Problem 3
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    Zhaorun's Notes Zhaorun's Notes
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Lecture 27: Russell's Paradox and Zermelo–Fraenkel Axioms (4 November 2024)

Lecture 27: Russell's Paradox and Zermelo–Fraenkel Axioms (4 November 2024)
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Lecture 27: Russell's Paradox and Zermelo–Fraenkel Axioms (4 November 2024) 217927  
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    Lecture Video Lecture Video
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    Amir's Notes Amir's Notes
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    Xuran's Notes Xuran's Notes
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  • External Url
    Video Playlist: Intro to Set Theory (Watch the first 10 lectures) Video Playlist: Intro to Set Theory (Watch the first 10 lectures)
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Lecture 28: Axiom of Infinity and Bijections (4 November 2024)

Lecture 28: Axiom of Infinity and Bijections (4 November 2024)
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Lecture 28: Axiom of Infinity and Bijections (4 November 2024) 217933  
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    Lecture Video Lecture Video
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    Amir's Notes Amir's Notes
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    Xuran's Notes Xuran's Notes
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  • External Url
    Reading: Oxford Lecture Notes on Set Theory (Pages 1-20) Reading: Oxford Lecture Notes on Set Theory (Pages 1-20)
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    Video: Hilbert Hotel Video: Hilbert Hotel
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Lecture 29: Countability and the Theorems of Cantor, Tarski and Schröder–Bernstein (6 November 2024)

Lecture 29: Countability and the Theorems of Cantor, Tarski and Schröder–Bernstein (6 November 2024)
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Lecture 29: Countability and the Theorems of Cantor, Tarski and Schröder–Bernstein (6 November 2024) 217999  
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    Lecture Video Lecture Video
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    Amir's Notes Amir's Notes
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  • Attachment
    Xuran's Notes Xuran's Notes
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  • External Url
    Reading: Oxford Lecture Notes on Set Theory (Pages 1-26) Reading: Oxford Lecture Notes on Set Theory (Pages 1-26)
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  • Attachment
    Weekly Problem Set 9 Weekly Problem Set 9
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TA Session 7 (8 November 2024)

TA Session 7 (8 November 2024)
Module Completed Module In Progress Module Locked
TA Session 7 (8 November 2024) 218073  
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    Lecture Video Lecture Video
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  • Attachment
    Xuran's Notes Xuran's Notes
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Homework 3

Homework 3
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Homework 3 218094  
  • Assignment
    Homework 3 Homework 3
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Lecture 30: The Set of Real Numbers (11 November 2024)

Lecture 30: The Set of Real Numbers (11 November 2024)
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Lecture 30: The Set of Real Numbers (11 November 2024) 218127  
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    Lecture Video Lecture Video
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  • Attachment
    Amir's Notes Amir's Notes
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  • Attachment
    Zhaorun's Notes Zhaorun's Notes
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    Video: Real Numbers Video: Real Numbers
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    Video: Equinumerosity Video: Equinumerosity
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Lecture 31: |ℝ|=|P(ℕ)| and the Axiom of Choice (11 November 2024)

Lecture 31: |ℝ|=|P(ℕ)| and the Axiom of Choice (11 November 2024)
Module Completed Module In Progress Module Locked
Lecture 31: |ℝ|=|P(ℕ)| and the Axiom of Choice (11 November 2024) 218131  
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    Lecture Video Lecture Video
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    Amir's Notes Amir's Notes
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    Zhaorun's Notes Zhaorun's Notes
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    Video: The Halting Problem (Watch the first 18 minutes) Video: The Halting Problem (Watch the first 18 minutes)
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    Video: Cardinality of the Continuum Video: Cardinality of the Continuum
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    Video: Comparability of Cardinals Video: Comparability of Cardinals
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    Video: Axiom of Choice Video: Axiom of Choice
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    Recommended: History of the Axiom of Choice Recommended: History of the Axiom of Choice
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    Recommended to Read: Banach–Tarski Paradox Recommended to Read: Banach–Tarski Paradox
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Lecture 32: Introduction to Probability Theory (13 November 2024)

Lecture 32: Introduction to Probability Theory (13 November 2024)
Module Completed Module In Progress Module Locked
Lecture 32: Introduction to Probability Theory (13 November 2024) 218311  
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    Amir's Notes Amir's Notes
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  • Attachment
    Zhaorun's Notes Zhaorun's Notes
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  • Attachment
    coin.cpp coin.cpp
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  • Attachment
    doors.cpp doors.cpp
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  • Attachment
    sleeping.cpp sleeping.cpp
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  • Attachment
    cancer.cpp cancer.cpp
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  • Context Module Sub Header

    Reading: Chapter 2 of Ross (Axioms of Probability), including sections marked by *

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  • Attachment
    Weekly Problem Set 10 Weekly Problem Set 10
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TA Session 8 (15 November 2024)

TA Session 8 (15 November 2024)
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TA Session 8 (15 November 2024) 218314  
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    Lecture Video Lecture Video
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    Zhaorun's Notes Zhaorun's Notes
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Lecture 33: Conditional Probability, Independence and Expectation (18 November 2024)

Lecture 33: Conditional Probability, Independence and Expectation (18 November 2024)
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    Lecture Video Lecture Video
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    Amir's Notes Amir's Notes
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    Xuran's Notes Xuran's Notes
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    Read: The Monty Hall Problem Read: The Monty Hall Problem
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    Read: The Sleeping Beauty Problem Read: The Sleeping Beauty Problem
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    Watch: Philosophers are not smart enough for probability theory! Watch: Philosophers are not smart enough for probability theory!
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    Reading: Chapters 3 and 4 of Ross (Conditional Probability, Independence, Random Variables)

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    Note: We did not cover variance and common probability distributions in the lectures (due to being too easy), but they are part of the syllabus. So, make sure you read everything in these chapters.

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    Video: Bayes Theorem Video: Bayes Theorem
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    Video: The Bayesian Trap Video: The Bayesian Trap
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Lecture 34: Solving Problems using Linearity of Expectation (18 November 2024)

Lecture 34: Solving Problems using Linearity of Expectation (18 November 2024)
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    Amir's Notes Amir's Notes
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    Xuran's Notes Xuran's Notes
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    Video: Linearity of Expectation Video: Linearity of Expectation
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  • External Url
    Video: Expectation, Indicator Random Variables, Linearity Video: Expectation, Indicator Random Variables, Linearity
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    Video: Expectation Video: Expectation
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Lecture 35: Markov Chains (20 November 2024)

Lecture 35: Markov Chains (20 November 2024)
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Lecture 35: Markov Chains (20 November 2024) 218389  

Homework 4

Homework 4
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Homework 4 218387  
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    Homework 4 Homework 4
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