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Covers worst-case complexity, algorithms, and proofs including mathematical induction and recursion.
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Explores proof concepts, techniques, and applications in logic, mathematics, and algorithms.
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Explores the properties of relations in computer science, including equivalence relations and the partition of a set.
Prime Numbers and Primality Testing
Covers prime numbers, RSA cryptography, and primality testing, including the Chinese Remainder Theorem and the Miller-Rabin test.
Optimization Algorithms: Greedy Approach
Explores optimization problems and greedy algorithms for efficient decision-making.
Sequences and Convergence
Explores sequences, convergence criteria, and accumulation points in sequences.
Predicate Logic: Quantifiers, CNF, DNF
Covers Predicate Logic, focusing on Quantifiers, CNF, and DNF.
Temporal Complexity: Concrete ExampleMOOC: Information, Calcul, Communication: Introduction à la pensée informatique
Explores temporal complexity through a concrete example with positive and negative integers.
Integers Representation: Sign vs. Two's Complement
Explores integer representation methods, comparing sign-and-magnitude with two's complement, and introduces fixed-point and floating-point representations.
Complexity of Algorithms: Proofs of Time Complexity
Covers the analysis of worst time complexity for algorithms and time complexity with real numbers and integers.

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