Lectures related to Constant-recursive sequence

Counting with Recurrence Relations: Summary

Explores counting with recurrence relations, linear recurrence relations, generating functions, and counting principles.

Advanced Counting: Linear Homogeneous Recurrence Relations and Generating Functions

Explores solving linear homogeneous recurrence relations and generating functions for sequence formulas.

Generating Functions: Advanced Counting

Covers the definition of generating functions and their application in solving recurrence relations.

Recursive Sequences: Convergence and Limits

Covers the study of recursive sequences, focusing on convergence and limits.

Sequences: Arithmetic and Geometric Progressions

Covers arithmetic and geometric progressions, strings, and recurrence relations.

Sequences: Relations, Summation, Strings

Covers arithmetic and geometric progressions, strings, and recurrence relations in sequences.

Advanced Counting: Generating Functions and Recurrence Relations

Explores generating functions, recurrence relations, and advanced counting techniques.

Frobenius Method: Illustration around an Ordinary Point

Covers the Frobenius method for solving ODEs around an ordinary point.

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.

Linear Recurrence Relations: Solving Techniques and Examples

Explains linear homogeneous recurrence relations and provides solving techniques and examples.

Counting with Recurrence Relations: Fibonacci Sequence and Bit Strings

Covers the definition of recurrence relations and their application in counting problems.

Number Sequences: Guessing, Fibonacci, Recurrence Relations

Covers the identification of number sequences and solving recurrence relations.

Markov Chains: Ergodic Chains Examples

Covers stochastic models for communications, focusing on discrete-time Markov chains.

Markov Chains: Ergodic Chains Examples

Covers stochastic models for communications, focusing on discrete-time Markov chains.

Matrix Recurrence Relations

Explores matrix recurrence relations, eigenvalues, Fibonacci sequence, and the golden ratio in linear algebra.

Cyclic Sequences: Counting and Equivalence

Explores linear and cyclic sequences, counting methods, and Mobius inversion formula.

Linear Recurrence Relations: Solving Techniques

Explores linear homogeneous recurrence relations, solving techniques, characteristic equations, and examples like Fibonacci numbers.

Linear Recurrence Relations

Explores linear recurrence relations, including examples like the Fibonacci numbers and the proof of related theorems.

Solving Recurrences and Recursion Trees

Covers techniques for solving recurrences and introduces the Master Theorem.

Polynomials: Theory and Applications

Covers the theory of polynomials, including definitions, properties, and applications.