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
Requirements
- Basics of calculus
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
Instructor
![Moein Ud Din](data:image/svg+xml,%3Csvg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 64 64"%3E%3C/svg%3E){kind=avatar}
- 4.4 Instructor Rating
- 189 Reviews
- 31,451 Students
- 6 Courses
This is Moein Ud Din, I am instructor of mathematics, a programmer of Python, Artificial intelligence, machine learning, deep learning, image processing, NLP 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 IT 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