Complex Analysis For Real Analysis,Engineering Math Students

Complex Analysis with Complex Numbers for all Algebra, Calculus, Engineering Math, Physics, Real Analysis Students

What you'll learn
Introduction to Complex Numbers [ Updated ( MARCH - 2022 ) with new Video lectures ]
Complex Differentiation
Cauchy Reimann Equations
Analytic function
Laurent Series
Power Series
Taylor Series
Complex Integration
Singular Points
Types of Singularities
Poles
Cauchy's Theorem
Zero’s and Poles
Cauchy Residue
Cauchy Reside Theorem
Bilinear or Mobius Transformation
Requirements
Be able to read Complex number System
Description
This course comes with a 30 day money back guarantee! If you are not satisfied in any way, you'll get your money back. Plus you will keep access to the Notebooks as a thank you for trying out the course. Updated ( MARCH - 2022 ) : New Video lectures are added. Hi,I am Kishore Reddy. I have 11 years experience of teachingComplex Analysis for Real Analysis, Engineering Math StudentsDear students, How are you studying? Hope you are doing well.–––––––––––––––––––––––––––––––––––––––HERE IS WHAT SOME STUDENTS OF THIS COURSE HAVE TOLD ME:"It's soo clear and fully satisfied, video clarity is also good" - Madhu"This Complex analysis course is explained in easy way. This Mathematics course has assignment which is helped to practice.Thank you "  - Ravi–––––––––––––––––––––––––––––––––––––––––In this course, you are going to learn about Complex Analysis. In lower classes, you learnt about number SYSTEM from Natural Numbers, Whole numbers, Real Numbers. And also you learnt Calculus concepts like Differentiation and Integration. Now, in this course, you will learn aboutComplex analysis, traditionally known as the theory of functions of a complex variable. Complex Analysis is the branch of mathematical analysis that investigates functions of complex numbers. –––––––––––––––––––––––––––––-In this course you will learn aboutComplex NumberCauchy Reimann EquationsAnalytic functionPolesPower SeriesContour IntegralsCauchy's TheoremZero’s and PolesCauchy Reside TheoremSingularlyBilinear TransformationLearn above concepts from this course ––––––––––––––––––––––––––––––––***Mathematics in my point of view:  "Mathematics/Math: Math is a simply a language. In School grade/Classes, covered Algebra, Trigonometry, Geometry, and Precalculus. In College, covered Algebra 2,College Algebra, Probability, Statistics, Calculus: Calculus 1,Calculus 2,Calculus 3(Multivariable Calculus like Differential Equations, Engineering Mathematics), And University Math topics are Abstract Algebra, Linear Algebra, Discrete Mathematics, Number Theory, Real Analysis, Complex Analysis, Functional Analysis, Matlab. In Test Prep: SAT, Act, GRE,GMAT,LSAT  are with Quantitative Aptitude Section. Application of Math: Engineering, Physics, Science, Computer sciences like in Games development, Programming, Machine learning, Data science".***Udemy is great platform to learn.You'll Also Get:✔ Lifetime Access to course updates✔ Fast & Friendly Support in the Q&A section✔ Udemy Certificate of Completion Ready for DownloadSo, enroll today in this "Complex Analysis-Complex Analysis for All Level students.All the best,Thank you Kishore Reddy

Overview

Section 1: The 4 Benefits | Complex Analysis

Lecture 1 30-Day Money-Back Guarantee and 3 more benefits

Lecture 2 What you'll learn in this Complex Analysis course

Lecture 3 Download - PDF - Complex Analysis

Section 2: Introduction to Complex Numbers

Lecture 4 Introduction to Complex Numbers | Complex Analysis

Lecture 5 Introduction to Complex Numbers | Complex Analysis

Section 3: Complex Functions

Lecture 6 Basic Concepts Part 1

Lecture 7 Complex Function

Lecture 8 Basic Concepts Part 1

Lecture 9 Basic Concepts Part 2

Lecture 10 Solved Problem 1

Lecture 11 Solved Problem 2

Section 4: Complex Differentiation

Lecture 12 Limit of Complex Function

Lecture 13 Continuity of Complex Function

Lecture 14 Differentiability of Complex Function

Lecture 15 What are CR equations?

Lecture 16 Solved example problem on CR equations

Lecture 17 What is Analytic function?

Lecture 18 Zero’s of Analytic Functions

Lecture 19 The Complex Derivative

Lecture 20 Analytic Function:Solved Example problem

Lecture 21 Every Analytic Function is Differential

Lecture 22 Holomorphic functions

Lecture 23 Harmonic function

Lecture 24 Entire Function

Lecture 25 Harmonic Conjugate

Section 5: Power series

Lecture 26 Properties

Lecture 27 Sequences and Series

Lecture 28 Power Series

Lecture 29 The Radius of Convergence of a Power Series

Lecture 30 Taylor series

Section 6: Laurent Series and the Residue Theorem

Lecture 31 Laurent series

Lecture 32 What is residue?

Lecture 33 Represent a circle with complex numbers

Lecture 34 The Residue Theorem in Complex Analysis

Lecture 35 Finding Residues in Complex Analysis

Lecture 36 Formula to find Residues in Complex Analysis

Lecture 37 Solved Problem on Evaluating Integrals via the Residue Theorem

Section 7: Complex Integration

Lecture 38 Introduction

Lecture 39 Cauchy-Goursat theorem

Lecture 40 Cauchy Integral Formula

Lecture 41 Cauchy Integral Formula

Lecture 42 Solved problem on Cauchy Integral Formula

Lecture 43 Solved Problem 2

Section 8: Singularity and Cauchy Residue theorem in Complex Analysis

Lecture 44 Download - Singularity

Lecture 45 What is Pole Singularity?

Lecture 46 What is pole order?

Lecture 47 What is simple pole in complex analysis

Lecture 48 What is Singularity?

Lecture 49 Types of singularities

Lecture 50 Types of Singularity

Lecture 51 Residue theorem

Section 9: Contour integration

Lecture 52 Introduction

Lecture 53 What is Line Integral and contour integral?

Lecture 54 Louiville’s Theorem - Statement

Section 10: Conformal Mapping in Complex Analysis

Lecture 55 Conformal mapping

Lecture 56 Linear Mapping

Lecture 57 Bilinear or Mobius transformation

Lecture 58 What is Bilinear Transformation?

Lecture 59 Problem 1: Finding Fixed Point

Lecture 60 Problem 2: Finding Fixed Point

Lecture 61 Problem 3: Finding Fixed Point

Section 11: Congratulations for Completing Course

Lecture 62 THANK YOU FOR ENROLLING AND COMPLETING THE COURSE

Section 12: Assignment : Just for Practice

Lecture 63 Just for Practice : LIVE TEST

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