Complex Analysis for Real Analysis,Engineering Math Students

🌟 Unlock the World of Complex Numbers with "Complex Analysis for Real Analysis, Engineering Math Students" 🌟

Your Journey to Mastering Complex Analysis Starts Here!

This course comes with a 30 day money back guarantee! If you are not satisfied in any way, you'll get your money back – and you'll keep access to the Notebooks as a thank you for trying out the course.

Updated (MARCH - 2022): New Video lectures added for an even richer learning experience!

Meet Your Instructor: Kishore Reddy

Hello, dear students! I hope you're doing well in your studies. I am Kishore Reddy, with 11 years of teaching experience specializing in Complex Analysis for Real Analysis, Engineering Math Students.

What Students Are Saying About This Course:

• "It's soo clear and fully satisfied, video clarity is also good" - Madhu
• "This Complex analysis course is explained in an easy way. This Mathematics course has assignments that are helpful for practice." - Ravi Thank you for your feedback, students! 💬

Dive into the World of Complex Analysis

In lower classes, you've explored the number system, including Natural, Whole, and Real Numbers. You've also delved into Calculus concepts like Differentiation and Integration. Now, it's time to expand your horizons with Complex Analysis – traditionally known as the theory of functions of a complex variable.

Course Outline:

In this course, you will delve into the following topics:

1. Complex Numbers - Understanding the basics and properties of complex numbers.
2. Cauchy Riemann Equations - Exploring the conditions for a function to be differentiable.
3. Analytic Functions - Defining what it means for a function to be analytic.
4. Poles - Identifying and working with singular points of functions.
5. Power Series - Expanding functions into infinite series.
6. Contour Integrals - Learning about integrals around paths in the complex plane.
7. Cauchy's Theorem - Understanding a fundamental theorem for complex analysis.
8. Zero’s and Poles - Analyzing the behavior of functions near their singular points.
9. Cauchy Residue Theorem - Learning about the residues of functions.
10. Singularities - Investigating how functions behave at singular points.
11. Bilinear Transformation - Exploring a transformation that maps one line onto another in the complex plane.

Mathematics: A Universal Language

In my view, Mathematics is a universal language that transcends various fields of study, including Engineering, Physics, and Computer Science. It's not just about solving problems; it's about understanding patterns, logic, and the beauty of abstraction. From SAT to GRE, from Quantitative Aptitude to Advanced Mathematical Concepts like Abstract Algebra and Real Analysis, Mathematics is a tool that unlocks the mysteries of the universe.

Why Choose Udemy for Your Learning Journey?

• Lifetime Access to Course Updates: Stay up-to-date with the latest content as we continue to refine and expand this course.
• Fast & Friendly Support in the Q&A Section: Have questions? Our dedicated support team is here to help you navigate any challenges.
• Udemy Certificate of Completion: Showcase your newfound knowledge with an official Udemy certificate that you can download upon completing the course.

So, if you're ready to embark on a journey through the intricate world of Complex Analysis, enroll today in this comprehensive and engaging course designed for all levels of students.

All the best on your learning path, Thank you from Kishore Reddy, your instructor on this intellectual adventure! 🚀

Enroll Now and Transform Your Understanding of Complex Analysis!