Basic Understanding of Fourier Series and Transforms for AI

🌟 Course Title: Harmonizing Mathematics: A Journey through Fourier Series

📚 Also learn: An Introduction to Harmonic Analysis

Welcome to Your Mathematical Adventure!

Greetings from Suman Mathews 👩‍🏫

• Your guide on this journey through the enchanting world of Fourier Series and beyond.
• With a double master's in Mathematics and 30 years of teaching experience, I am here to demystify Analytical Mathematics for you.

Course Description:

Embark on a transformative mathematical odyssey with this comprehensive course on Fourier Series. As we delve into the core concepts, you'll uncover the fundamental principles of Analytical Mathematics that underpin various engineering disciplines.

🚀 What You Will Learn:

• Euler's Formula: The gateway to understanding periodic functions and complex exponentials in mathematics.
• Basic Formulas of Integration: Master the art of integrating complex expressions involving exponential and trigonometric functions.
• Fourier Series: Discover how to express a function as a sum of sines and cosines, breaking down complex problems into manageable pieces.
• Odd & Even Functions: Explore these concepts in depth with real-world applications beyond the classroom.
• Fourier Coefficients: Calculate coefficients for various functions over different intervals, unlocking the secrets of Fourier analysis.
• Solving Identities: Learn to tackle and solve identities using clever tricks involving Fourier series.
• Harmonic Analysis: Gain insight into the importance of periodic functions in evaluating Fourier series and learn how to calculate the 1st and 2nd harmonics for a function.
• Harmonic Coefficients: Understand the calculation of Harmonic coefficients for different types of intervals.

Course Highlights:

• Fourier Series of Various Functions: Learn to evaluate Fourier series for exponential, trigonometric, algebraic, and modulus functions.
• Sine & Cosine Series: Understand how to decompose a function into sine and cosine series, enhancing your problem-solving abilities.
• Half Range Fourier Series: Discover the techniques for analyzing functions over a limited range.
• Real-world Applications: Apply what you've learned to solve problems with clear, step-by-step explanations.

Final Assignment & Bonus Learnings:

• Test your knowledge of all properties learned in the course, including the Fourier half series.
• As a bonus, dive into the fascinating world of Harmonic Analysis. Calculate 1st and 2nd harmonic coefficients for different types of intervals.

Ready to Harmonize Your Mathematics Skills?

Join me, Suman Mathews, on this enlightening journey through the fascinating realm of Fourier Series and Harmonic Analysis. Let's unlock the secrets of analytical mathematics together and elevate your understanding of mathematical functions! 🎓

Enroll now and transform your approach to mathematical problems!