Counting: Basic Principles and Applications

Related lectures (25)

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Covers the review of derivatives and functions, including the concept of chain rule and graphical representation.

Explores real functions, covering parity, periodicity, and polynomial functions.

Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.

Covers the fundamentals of calculus, focusing on derivatives and integrals.

Explores injective functions in linear algebra, demonstrating how to prove injectivity step by step.

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

Covers the statement of the Bernoulli's Hospital Rule and its application.

Covers the basic concepts of sets, functions, and number systems.

Explores the integration by parts technique through examples, showcasing its step-by-step application to functions like cos(x) and sin(x.

Covers Morse theory, focusing on critical points and non-degeneracy.