Master the mathematical foundations essential for computer science and competitive programming. From logic and proofs to number theory and probability...
Lessons
10
Activities
10
Projects
4
Duration
24 sessions • 6 months
Master the mathematical foundations essential for computer science and competitive programming. From logic and proofs to number theory and probability, develop rigorous mathematical thinking aligned with MIT's 6.1200J curriculum. Solve real Malaysian Computing Challenge problems that require deep ma
This course consists of 24 structured sessions over 6 months. Each session includes lessons, activities, projects, and assessments to ensure comprehensive learning.
Understand logical operators
Master predicate logic
Write direct proofs
Master contradiction and induction
Apply proof techniques
Complete mathematical proofs
Understand divisibility rules
Master Euclidean algorithm
Understand mod operations
Master modular inverses
Solve MCC 2023 Problem 1
Checkpoint: Number theory
Fundamental counting rules
Master P(n,r) and C(n,r)
Understand PIE principle
Apply to complex counting
Analyze MCC 2023 Problem 6
Implement multinomial solution
Probability foundations
Expected value calculations
Final checkpoint
Design probability experiments
Validate with Monte Carlo
Course completion and next steps
Practical Skills
Build real-world applications and projects
Problem Solving
Develop computational thinking and problem-solving abilities
Join this course and start your learning journey today.
