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Aspiring Computer Scientists

Discrete Mathematics & Logic

6 weeks
1 Learners
Jul 23

Master the absolute fundamentals of Discrete Mathematics & Logic through hands-on technical deep dives. Rather than skimming surface-level tutorials, this track enforces rigorous conceptual understanding and practical implementation. Expect to walk away with a profound mastery of the underlying architecture and the ability to solve complex engineering challenges.

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About this Course

The mathematical foundation required for formal verification tools like TLA+ and Alloy. This Aspiring Computer Scientists curriculum is designed to give you hands-on experience and deep conceptual understanding. Across 6 intensive modules, you'll tackle real-world challenges and build practical projects that reinforce your learning. By the end of this journey, you'll have the skills and proof of work to demonstrate your expertise.

What you'll learn

Construct truth tables and evaluate quantified statements.
Write rigorous mathematical proofs including induction.
Analyze sets, functions, and equivalence relations.
Calculate permutations, combinations, and discrete probabilities.

Prerequisites

intermediate Level

Requires basic familiarity with the tech stack.

  • Familiarity with core concepts

Ideal for

Aspiring Computer Scientists

Aspiring Computer Scientists Professionals
Tech Enthusiasts
W1

Propositional & Predicate Logic

Develop an intuitive mental model for Propositional & Predicate Logic by comprehensively studying propositional logic and predicate logic.

2 videos36m
3 readings
2 topics
1 homework
Learn
W2

Methods of Proof

Explore the mechanics of Methods of Proof by comprehensively studying direct & indirect proofs and mathematical induction.

2 videos40m
2 readings
2 topics
1 homework
Learn
W3

Set Theory and Relations

Construct reliable, production-ready workflows for Set Theory and Relations by comprehensively studying sets and functions and relations.

2 videos41m
3 readings
2 topics
1 homework
Learn
W4

Combinatorics & Probability

Construct reliable, production-ready workflows for Combinatorics & Probability by comprehensively studying advanced counting and discrete probability.

2 videos41m
3 readings
2 topics
1 homework
Learn
W5

Graph Theory Fundamentals

Master the practical implementation of Graph Theory Fundamentals by comprehensively studying graphs and paths and trees and isomorphism.

2 videos70m
3 readings
2 topics
1 homework
Learn
W6

Number Theory & Cryptography

Dive deep into the internals of Number Theory & Cryptography by comprehensively studying modular arithmetic and cryptography basics.

2 videos32m
3 readings
2 topics
1 homework
Learn
01

Learn

Watch curated videos and read study resources

02

Practice

Practice what you learned

03

Build Projects

Build projects using your new gained knowledge

04

Submit & Verify

Submit your project and get verified by our system

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