Advanced Calculus of Higher Mathematics

Learn Advanced Calculus of Higher Mathematics through animation. This course includes videos explanation starting right from introduction and basics, then takes graphical and numerical phase with formulas, verification and proofs both graphically and mathematically. At the end it carries plenty of solved numerical problems with the relevant examples.

The lectures' videos are appealing, attractive, fancy (with some nice graphic designing), fast and take less time to walk you through the whole lecture. It's a prefect choice for students who feel boredom watching long lectures and wants things to finish them quickly with the maximum knowledge gain. So join me here and do it in a quick and easy way.

This course covers the below list of topics:Parseval's Identity of Fourier SeriesIntroductionBasics and Equations, Mathematical ProofsProblem SolutionsHarmonic Analysis of Fourier SeriesIntroduction and BasicsDifferent orders of Harmonic seriesProblem SolutionsComplex Fourier Series Introduction and Basics Prerequisites Equations derivation Mathematical Proofs Problem SolutionsFourier TransformIntroduction and BasicsGraphsFourier Sine TransformFourier Cosine TransformConvolution theoremMathematical ProofsProblem SolutionsZ-TransformIntroduction and BasicsRegion of convergenceProperties of Z-TransformEquation DerivationMathematical ProofInverse Z-Transform Problem SolutionsPower SeriesIntroduction and BasicsRegion of convergenceRadius of convergenceInterval of convergenceDifferentiation of Power seriesIntegration of Power seriesEquation DerivationMathematical ProofsProblem SolutionsBinomial SeriesIntroduction and BasicsPrerequisitesMethods to solve binomial seriesFinite seriesInfinite seriesGeneral TermBinomial series as power seriesProblem Solutions.