Advanced Calculus of Higher Mathematics

Advanced Calculus of Higher Mathematics through animation,explanations,plenty of solved examples to help you in exam

(11 ratings)

7,772 students

Created by Moein Ud Din

Last updated 10/2020

English

30-Day Money-Back Guarantee

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 through animation. The course includes videos explanation with plenty of relevant solved examples and. The lectures are appealing, fancy (graphic designing), fast and take less time to walk you through the whole lecture. A prefect choice for students who feel boredom watching long lectures. 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
Harmonic Analysis of Fourier Series
Complex Fourier Series
Fourier Transform
Z-Transform
Power Series
Binomial Series

Who this course is for:

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

34 sections • 191 lectures • 20h 29m total length

Preview00:59

What is Perseval's Identity of Fourier Series? where and why we use it?
01:50
Check the simple Fourier series before to go for its Perseval's Identity
01:44
Full range Equations of Perseval's Identity for both pi and L
02:16
Half range Equations of Perseval's Identity
01:03
Proof of Perseval's Identity Equation when we take it with the pi range
06:48
Proof of Perseval's Identity Equation when we take it with the L range
03:40
Proof of Half range Cosine Perseval's Identity Equation
04:15
Proof of Half range Sine Perseval's Identity Equation
03:25

Some important prerequisites of the Complex Fourier series
03:28
Revise the general background of normal Fourier series
01:42
Mathematical equation of Complex Fourier series and from where it comes?
04:35
Important Mathematical derivation of basic Complex Fourier series equation
20:24
Derivative of equation for full range Complex Fourier series taken with L
04:00
Derivative of equation for half range Complex Fourier series taken with L
01:31
Derivative of equation for full range Complex Fourier series taken with 'pi'
05:02
Preview02:12

Find the solution of 'x' using full range Complex Fourier series taken with 'pi'
14:15
Preview04:31
Find the value of a cosine function using half range Complex Fourier series
09:09
Find the value of a sine function using full range Complex Fourier series
10:01
Find the Complex form of an exponential function in a range -1 to 1
04:47

What is Fourier Transform? Why we need it? and what is its applications?
03:55
Three main types of Transforms and their comparisons
02:56
Types of Fourier Transforms and comparisons based on their conditions
04:11
Important comparisons of some Fourier transforms in time and frequency domains
04:30
How Fourier Transform looks graphically in time and frequency domains?
01:09
Understand the graphs of different transforms
06:13
Basic equation of Fourier & Inverse Fourier Transforms written in different ways
09:58
Some important prerequisites for Fourier Transforms
10:51
Some more prerequisites for Fourier Transform, which are formulas
03:10
Preview04:20
Equations of Inverse Fourier sine and cosine Transforms
01:31
Prerequisites of Fourier sine and cosine Transforms
00:45

Find the Fourier Transform of a piece-wise function within the domain -1 to 1
14:14
Preview09:17
Find the value of a function using Fourier Transform and then apply its inverse
19:10
Find the function by using Fourier Transform and then do proof using its inverse
15:44
Identify the Fourier Transform of an exponential function
11:23

Moein Ud Din

Engineer

4.8 Instructor Rating
68 Reviews
18,214 Students
3 Courses

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

Advanced Calculus of Higher Mathematics

What you'll learn

Requirements

Description

Who this course is for:

Course content

Introduction1 lecture • 1min

Perseval's Identity of Fourier Series - Introduction8 lectures • 25min

Perseval's Identity of Fourier Series - Problems Solutions2 lectures • 26min

Harmonic Analysis of Fourier Series - Introduction4 lectures • 7min

Harmonic Analysis of Fourier Series - Problems Solutions2 lectures • 23min

Complex Fourier Series - Basics and Derivation of Equations8 lectures • 43min

Complex Fourier Series - Problems Solutions5 lectures • 43min

Fourier Transform - Introduction, types, pre-requisites and graphs12 lectures • 53min

Fourier Transform - Problems Solutions for normal Fourier Transform5 lectures • 1hr 10min

Fourier Transform - Problems Solutions for sine and cosine Fourier Transforms5 lectures • 23min

Instructor