Rational function

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Related lectures (29)

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Functions: Limits, Continuity, Differentiability

Explores the origin of functions, continuity, differentiability, and the physical representation of chemical bonds.

Linear Recurrence Relations

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

Generalized Integrals: Convergence and Divergence

Explores the convergence and divergence of generalized integrals using comparison methods and variable transformations.

Limits in Function Analysis

Introduces the concept of limits in function analysis and demonstrates their application through various examples.

Dynamical Systems: Laplace Transform

Covers the Laplace transform, transfer functions, and properties of common functions in dynamical systems.

Differentiable Functions: Definitions and Properties

Covers the definition and properties of differentiable functions, focusing on differentiability, limits, continuity, and partial derivatives.

Z-Transform: Convergence and Poles

Covers the Z-transform, region of convergence, and examples of signals with multiple poles and finite-duration signals.

Matrix Functions: Theory and Computation

Covers the theory and computation of matrix functions, focusing on computing f(A) and particularly e^A, with special attention to the matrix exponential and common examples of matrix functions.

Integration of Rational Functions

Covers the integration of rational functions and the decomposition into irreducible factors.