Integral Techniques: Rational Functions

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Covers the integration of rational functions, focusing on decomposing functions into simpler elements.

Covers integration techniques for rational functions, including decomposition and factorization.

Explores complex roots, conjugate pairs, and quadratic equations solving strategies.

Covers the applications of the Residue theorem in evaluating complex integrals related to real analysis.

Introduces calculus concepts, focusing on Taylor series and integrals, including their applications and significance in mathematical analysis.

Explores Viète's formula for finding roots of degree two polynomials and their significance.

Explores orthogonal and orthonormal bases, Gram-Schmidt process, and orthogonal polynomials in physics.

Explores polynomials, their operations, and the concept of ideals in polynomial rings.

Covers basic tools for definite integrals, antiderivatives, and integral calculus applications.

Covers the Fourier series representation of periodic signals and harmonic analysis.