# Advanced Calculus of Higher Mathematics

## What you'll learn

- 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

## Description

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 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

## Who this course is for:

- Students who are taking advanced calculus of higher mathematics at college and university level

## Course content

- Preview00:59

## Instructor

This is Moein Ud Din, I am Electrical & Electronics Engineer, a programmer and instructor of Matlab, C++, PLC and an animation geek. It's my passion to pass my knowledge what I know to the desired entities. Kinda quintessential person, always hounding to make things ideal. I have plan in future to prepare more mathematics and engineering courses, would love to make things change in my own certain way. Critics are most welcome as long as it helps me and my students. Best wishes