Lecture
Counting with Recurrence Relations: Summary
Related lectures (27)
Advanced Counting: Generating Functions and Recurrence Relations
Explores generating functions, recurrence relations, and advanced counting techniques.
Generating Functions: Advanced Counting
Covers the definition of generating functions and their application in solving recurrence relations.
Linear Recurrence Relations
Explores linear recurrence relations, including examples like the Fibonacci numbers and the proof of related theorems.
Advanced Counting: Linear Homogeneous Recurrence Relations and Generating Functions
Explores solving linear homogeneous recurrence relations and generating functions for sequence formulas.
Advanced Counting: Examples
Covers advanced counting techniques, including linear recurrence relations and generating functions, with examples from the Fibonacci sequence and differences between dice and poker cards.
Polynomials: Theory and Applications
Covers the theory of polynomials, including definitions, properties, and applications.
Meromorphic Functions & Differentials
Explores meromorphic functions, poles, residues, orders, divisors, and the Riemann-Roch theorem.
Derivatives and Continuity in Multivariable Functions
Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.
Generating Functions for Correlation Functions
Explores generating functions for correlation functions in the context of the forced harmonic oscillator.
Convergence of Series
Covers the convergence criteria of series, including alternating series and absolute convergence.