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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