Recurrence relation

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Related lectures (26)

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Counting with Recurrence Relations: Fibonacci Sequence and Bit Strings

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

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.

Z-Transform Properties

Covers the transfer function of composed LTI systems, difference equations, and Z-Transform properties.

Frobenius Method: Illustration around an Ordinary Point

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

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.

Signals & Systems II: Roots, Equations, and Impulse Responses

Explores roots verification, stability, reproduction modeling, Z transform, and LTI systems realization.

Difference Equations and Controllers

Covers linear difference equations, controllers, discretization, and approximation techniques.

Signals & Systems II: Difference Equations and Operators

Covers difference equations, z-transform method, system equivalence, and stability criteria.

Differential and Difference Equations

Explores differential and difference equations for causal LTI systems using examples of RC circuits and vehicle motion.