Cauchy Riemann Equations Free Course

Cauchy-Riemann Equations

star 4.5  Intermediate level 1.5 learning hrs 2.6K+ Learners

Instructor:

Ms. Ramya R

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The Cauchy-Riemann equations are one of the most popular ways to check if a given function is differentiable or not. It is important to note that these equations have the complete capability to also handle the imaginary parts of an analytical function as well. They are key in the domain of helping create the differentiability for a complex function. Keeping this in mind, we present to you this course on Cauchy-Riemann Equations. 

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Course outline

Introduction to Cauchy-Riemann Equations

Solving Problems using Cauchy-Riemann Equations

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Cauchy-Riemann Equations

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1.5 Hours

Intermediate

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2.6K+ learners enrolled so far

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5.0

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“My Learning Experience Was Insightful and Practical: A Strong Foundation in Understanding Cauchy-Riemann Equations”
I liked the clear explanations of complex mathematical concepts, the practical examples that helped reinforce the theory, and the structured quizzes that tested my understanding effectively.
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5.0

Country Flag India
“rtial derivatives satisfy the Cauchy-Riemann equations: ∂ 𝑢 ∂ 𝑥 = 2 𝑥 , ∂ 𝑣 ∂ 𝑦 = 0 , so  ∂ 𝑢 ∂ 𝑥 = ∂ 𝑣 ∂ 𝑦 . ∂x ∂u ​ =2x, ∂y ∂v ​ =0,so  ∂x ∂u ​ = ∂y ∂v ​ . ∂ 𝑢 ∂ 𝑦 = 2 𝑦 , ∂ 𝑣 ∂ 𝑥 = 0 , ”
rtial derivatives satisfy the Cauchy-Riemann equations: ∂ 𝑢 ∂ 𝑥 = 2 𝑥 , ∂ 𝑣 ∂ 𝑦 = 0 , so  ∂ 𝑢 ∂ 𝑥 = ∂ 𝑣 ∂ 𝑦 . ∂x ∂u ​ =2x, ∂y ∂v ​ =0,so  ∂x ∂u ​ = ∂y ∂v ​ . ∂ 𝑢 ∂ 𝑦 = 2 𝑦 , ∂ 𝑣 ∂ 𝑥 = 0 , so  ∂ 𝑢 ∂ 𝑦 = − ∂ 𝑣 ∂ 𝑥 . ∂y ∂u ​ =2y, ∂x ∂v ​ =0,so  ∂y ∂u ​ =− ∂x ∂v ​ . However, 𝑓 ( 𝑧 ) = ∣ 𝑧 ∣ 2 f(z)=∣z∣ 2 is not differentiable because the derivative depends on the direction, violating the continuity of the derivative.

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Ms. Ramya R

Faculty for Engineering Mathematics

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28.4K+ Learners
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9 Courses
Ramya has been working as a private tutor for last 3 years. Ramya is a consummate master of Mathematics, teaching college curricula. Her specialties comprise of: Algebra, trigonometry, Calculus, differential calculus, transforms and Basic Math. She also tutors a wide range of standardized tests.

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