Lecture

Course Overview: Teaser on Course Contents

Related lectures (21)

Covers the basics of discrete mathematics, focusing on logic, structures, and algorithms for computer systems.

Covers the basics of discrete mathematics, including logic, structures, and algorithms.

Introduces logic, proofs, sets, functions, and algorithms in mathematics and computer science.

Explores the properties of relations in computer science, including equivalence relations and the partition of a set.

Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.

Covers the basics of sets and operations in mathematics, from set properties to advanced operations.

Explores recursively defined sets, natural numbers, strings, functions, string concatenation, and well-formed formulae.

Introduces Cartesian product and induction for proofs using integers and sets.

Introduces sets in discrete mathematics and explores proof techniques like direct and indirect proofs.

Covers mathematical concepts from number theory to probability and statistics.

Explores independence in infinite coin tosses, covering sets, shifts, and T-invariance.

Covers the basics of analysis, including proofs, sets, rational and real numbers, and the concept of infimum.

Covers optimization algorithms, stable matching, and Big-O notation for algorithm efficiency.

Covers the proof of bounds on empirical process deviations, focusing on mathematical derivations and inequalities.

Covers random variables, variances, and covariance, as well as the probability in random graphs.

Covers topics in probability theory, focusing on uniform integrability and convergence theorems.

Introduces sets and functions, covering union, intersection, complement, functions terminology, and set operations analogies.

Covers the application of entropy in algorithms, focusing on sorting and decision-making strategies.

Covers the definition of applications, image of elements, and direct and reciprocal images.

Introduces sets, functions, and proofs in mathematics, covering set equality, subsets, Cartesian products, and truth sets of predicates.