Advanced Calculus of Higher Mathematics

• Parseval's Identity of Fourier Series: Introduction,Basics, Equations, Mathematical Proof and Problem Solutions
• Harmonic Analysis: Introduction, Basics, Different orders of Harmonic series and Problem Solutions
• Complex Fourier Series : Basics, Prerequisites, Equations derivation & Mathematical Proof and Problem Solutions
• Fourier Transform: Introduction,Basics, Graphs, Fourier Sine & Cosine Transform, Convolution theorem,Mathematical Proof and Problem Solutions
• Z-Transform: Introduction, Basics, Region of convergence, Properties,Equation Derivation, Mathematical Proof, Inverse Z-Transform and Problem Solutions
• Power Series: Introduction, Basics, Region and radius of convergence, Interval of convergence, Differentiation & Integration,Equation Derivation, Mathematical Proof and Problem Solutions
• Binomial Series: Introduction, Basics, Prerequisites, Methods to solve binomial series, Finite series, Infinite series, General Term, Binomial series as a power series, and Problem Solutions

Learn Advanced Calculus of Higher Mathematics throughanimation. 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 youthroughthe 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.Sojoin me here and do it in a quick and easy way. This coursecovers the below list of topics:

• Parseval's Identity of Fourier Series

  • Introduction

  • Basics and Equations,

  • Mathematical Proofs

  • Problem Solutions

• Harmonic Analysis of Fourier Series

  • Introduction and Basics

  • Different orders of Harmonic series

  • Problem Solutions

• Complex Fourier Series

  • Introduction and Basics

  • Prerequisites

  • Equations derivation

  • Mathematical Proofs

  • Problem Solutions

• Fourier Transform

  • Introduction and Basics

  • Graphs

  • Fourier Sine Transform

  • Fourier Cosine Transform

  • Convolution theorem

  • Mathematical Proofs

  • Problem Solutions

• Z-Transform

  • Introduction and Basics

  • Region of convergence

  • Properties of Z-Transform

  • Equation Derivation

  • Mathematical Proof

  • Inverse Z-Transform

  • Problem Solutions

• Power Series

  • Introduction and Basics

  • Region of convergence

  • Radius of convergence

  • Interval of convergence

  • Differentiation of Power series

  • Integration of Power series

  • Equation Derivation

  • Mathematical Proofs

  • Problem Solutions

• Binomial Series

  • Introduction and Basics

  • Prerequisites

  • Methods to solve binomial series

  • Finite series

  • Infinite series

  • General Term

  • Binomial series as power series

  • Problem Solutions