Brochure
Enquire- Introduction
- Complex Numbers Continued
- Complex Numbers with Numerical problems
- Worked Problems and Vectors
Complex Variables and Transforms
BY
Udemy
Learn about the basic principles and strategies associated with transforms, and complex variables, such as the Laplace ...Read more
Online
₹ 1999
Quick Facts
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Medium of instructions
English
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Mode of learning
Self study
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Mode of Delivery
Video and Text Based
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Course overview
Yasir Amir - University Professor established the Complex Variables and Transforms online certification, which is delivered through Udemy and is aimed at participants who wish to learn college-level mathematics and calculus. The Complex Variables and Transforms online course by Udemy focuses on teaching participants how to utilize complex numbers and how to discover the singular points of an analytic function through the creation of a series.
Complex Variables and Transforms online classes are subdivided into two parts, with the first dealing with complex numbers, complex variables, and functions, and the second with transforms and series. Participants will receive more than 30.5 hours of digital learning resources in this course, which will cover numerous tactics and methodologies for analyzing issues involving functions of complex variables, transformations, series, limits, continuity, and differentiability.
The highlights
- Certificate of completion
- Self-paced course
- 30.5 hours of pre-recorded video content
- Learning resources
Program offerings
- Online course
- Learning resources. 30-day money-back guarantee
- Unlimited access
- Accessible on mobile devices and tv
Course and certificate fees
Fees information
₹ 1,999
certificate availability
Yes
certificate providing authority
Udemy
What you will learn
After completing the Complex Variables and Transforms certification course, participants will be introduced to the foundational principles of complex variables and transforms. Participants will study the Laplace transform, Fourier transform, Cauchy-Reimann equation, De Moivre's theorem, Heaviside expansion formula, convolution theorem, and Argand's diagram, among other theories relating to variables and transforms. Participants will learn about ideas related to complex functions, such as analytical and harmonic functions, as well as line integrals and other integral approaches. Participants will also learn about the properties of the region of convergence, inverse Laplace transform, and the solution of the ordinary differential equation.
The syllabus
Introduction
More About Complex Numbers
- Modulus, Triangle Inequality and Complex Conjugate with Worked Problems
- Complex Conjugate Properties and Worked Exercise Problems
- Exponential Form of Complex Numbers
- de Moivre's Formula and Exercise Problems
- Roots of Complex Numbers
Functions of Complex Variables
- Basics of functions of complex variables
- Functions of complex variables- Theorems of Limits - Continuity
- Trigonometric Functions
- Hyperbolic Functions and Numerical Problems
- Hyperbolic Functions and Numerical Problems continued
- Logarithmic Functions
- Logarithmic Inverse Trigonometric and Hyperbolic Functions & worked problems
- More about Inverse Trigonometric and Hyperbolic Functions with examples
- Exercise problems related to inverse trigonometric and hyperbolic funcs
- Differentiation and Integration of complex-valued functions
- Differentiation and Integration of complex-valued functions II
- Methods of Integration of complex-valued functions & Cauchy Riemann equations
- Integration (continued)
- Cauchy's Integral Theorem and Independence of Path
- Previous Lecture worked problems and Cauchy's Integral Formula with numerical
Series and Sequence of Complex Numbers
- Sequence and Series of Complex Numbers and Convergence
- Convergence of Infinite Series
- Sequence and Series Exercise Problems
- Taylor and Maclaurin Series for Complex Numbers
- Worked examples related to Taylor and Maclaurin Series
- More worked examples related to Taylor and Maclaurin Series
- Harmonic Functions
- Harmonic Functions numerical problems
Series and Transforms
- Fourier Series
- Fourier Series continued
- Half Range Fourier Series and Even Odd Functions
- Exponential Fourier Series
- Fourier Transform
- Properties of Fourier Transform
- Inverse Fourier Transform and Parseval's Theorem
- Laplace Transform
- Inverse Laplace Transform and example problems
- Laplace Transform properties, solving differential equations and
- examples
- z Transforms
Instructors
Mr Yasir Amir
Professor
Freelancer
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