Advanced Calculus of Higher Mathematics 
Learners: 7,903
Instructor: Moein Ud Din 
Duration: This course offers an in-depth look at Advanced Calculus of Higher Mathematics through animation. It includes videos that explain the basics, graphical and numerical phases with formulas, verification and proofs, and plenty of solved numerical problems with relevant examples. The lectures are appealing, attractive, and fast, making it a perfect choice for those who want to learn quickly and efficiently. Topics covered include Parseval's Identity of Fourier Series, Harmonic Analysis of Fourier Series, Complex Fourier Series, Fourier Transform, Z-Transform, Power Series, and Binomial Series. Join now and learn Advanced Calculus of Higher Mathematics in a quick and easy way! ▼
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Course Feature
Cost:
Paid
Provider:
Udemy
Certificate:
Paid Certification
Language:
English
Start Date:
2022-02-16
Course Overview
❗The content presented here is sourced directly from Udemy platform. For comprehensive course details, including enrollment information, simply click on the 'Go to class' link on our website.
Updated in [August 13th, 2023]
Skills and Knowledge Acquired:
By taking this course, students will acquire a comprehensive understanding of Advanced Calculus of Higher Mathematics, including topics such as Parseval's Identity of Fourier Series, Harmonic Analysis of Fourier Series, Complex Fourier Series, Fourier Transform, Z-Transform, Power Series, and Binomial Series. Students will gain knowledge of the equations, mathematical proofs, and problem solutions associated with each topic. Additionally, students will develop skills in graphical and numerical analysis, as well as the ability to differentiate and integrate power series.
Contribution to Professional Growth:
This course contributes to professional growth by providing a comprehensive overview of Advanced Calculus of Higher Mathematics. Through animation, videos, and examples, the course covers topics such as Parseval's Identity of Fourier Series, Harmonic Analysis of Fourier Series, Complex Fourier Series, Fourier Transform, Z-Transform, Power Series, and Binomial Series. By learning these topics, students will gain a better understanding of the fundamentals of Advanced Calculus of Higher Mathematics, which can be applied to a variety of professional fields. Additionally, the course's appealing, attractive, and fast-paced lectures make it an ideal choice for those who want to quickly gain a comprehensive understanding of the subject.
Suitability for Further Education:
This course is suitable for preparing further education. It covers a wide range of topics related to Advanced Calculus of Higher Mathematics, including Parseval's Identity of Fourier Series, Harmonic Analysis of Fourier Series, Complex Fourier Series, Fourier Transform, Z-Transform, Power Series, and Binomial Series. The course also includes videos explanation, graphical and numerical phase with formulas, verification and proofs both graphically and mathematically, and plenty of solved numerical problems with relevant examples. This makes it an ideal choice for students who want to gain a comprehensive understanding of the subject.
Course Syllabus
Introduction
Perseval's Identity of Fourier Series - Introduction
Perseval's Identity of Fourier Series - Problems Solutions
Harmonic Analysis of Fourier Series - Introduction
Harmonic Analysis of Fourier Series - Problems Solutions
Complex Fourier Series - Basics and Derivation of Equations
Complex Fourier Series - Problems Solutions
Fourier Transform - Introduction, types, pre-requisites and graphs
Fourier Transform - Problems Solutions for normal Fourier Transform
Fourier Transform - Problems Solutions for sine and cosine Fourier Transforms
Fourier Transform - Convolution Theorem
Intermission
Z-Transform - Introduction, Types and Equation Derivation
Z-Transform - Standard Results of Z-Transform
Z-Transform - Region of Convergence
Z-Transform - Properties of the Region of Convergence
Z-Transform - Properties of Z-Transform
Z-Transform - Finite Sequences (Introductions, graphs)
Z-Transform - Finite Sequences (Problems Solutions)
Z-Transform - Infinite Sequences (Introduction, types, techniques and ROC)
Z-Transform - Infinite Sequences (Problems Solutions)
Inverse Z-Transform - (Introduction, Methods and Derivations)
Inverse Z-Transform - (Problems Solutions)
Power Series - (Definition, equations and Mathematical Derivation)
Power Series - Convergence & Radius of convergence (Theory, Problems Solutions)
Power Series - Interval of Convergence (Theory & Problems Solutions)
Power Series - Differentiation and Integration (Introduction, Standard Results)
Power Series - Differentiation and Integration (Problems Solutions)
Binomial Series - Introduction (Definition, Equation, Prerequisites)
Binomial Series - Finite & Infinite Series - Methods to find the Binomial Series
Binomial Series - Problems Solutions - Finite Series Methods
Binomial Series - Problems Solutions - Infinite Series Method
Binomial Series - General Terms (Definition, Equation, nth terms)
Binomial Series - General Terms (Problems Solutions)
Binomial Series - Binomial Series as a Power Series
Bonus Materials
Course Provider
Provider Udemy's Stats at AZClass
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