Fourier Analysis Courses and Certifications

Sebastian Lague

Coding Adventure: Sound and the Fourier Transform

Explore sound and the Fourier Transform through coding experiments, learning to break down signals into component frequencies and implementing the Discrete Fourier Transform.

• YouTube
• 44 minutes
• Self-Paced
• Free Video

Richard Behiel

Complex Numbers in Quantum Mechanics - From Basic Concepts to Wave Functions

Explore complex numbers in quantum mechanics through an intuitive approach, focusing on wave interference, phase concepts, and practical applications in quantum systems and electromagnetism.

• YouTube
• 20 minutes
• Self-Paced
• Free Video

Projection Theory - Spring 2025

Explore advanced projection theory connecting geometry, harmonic analysis, and combinatorics through studying objects via their shadows in different directions.

• YouTube
• 1 day 7 hours 32 minutes
• Self-Paced
• Free Video

Let's Code Physics

Computational Quantum Mechanics

Explore quantum mechanics through computational methods, covering Schrödinger equations, wave functions, energy states, and potential systems with practical coding applications.

• YouTube
• 3 hours 18 minutes
• Self-Paced
• Free Video

Mark Newman

Understanding the Output of the FFT

Discover how to interpret FFT output by understanding frequency, magnitude, phase, and symmetry in complex number results from signal analysis.

• YouTube
• 49 minutes
• Self-Paced
• Free Video

NPTEL-NOC IITM

Orthogonality of Signals - Lecture 10

Explore orthogonality of signals, a fundamental concept in signal processing and communication systems. Gain insights into its applications and importance.

• YouTube
• 16 minutes
• Self-Paced
• Free Video

NPTEL-NOC IITM

Shifting and Scaling in Continuous Time - Part I

Explore shifting and scaling techniques in continuous time systems, enhancing understanding of signal processing fundamentals.

• YouTube
• 15 minutes
• Self-Paced
• Free Video

NPTEL-NOC IITM

Unit Step and Delta Function - Lecture 7

Explore unit step and delta functions in signal processing, understanding their properties and applications in mathematical analysis.

• YouTube
• 16 minutes
• Self-Paced
• Free Video

Steve Brunton

Fourier Neural Operator - Physics-Informed Machine Learning

Explore Fourier Neural Operators for physics-informed machine learning, covering zero-shot super resolution, mesh invariance, and applications in Green's functions and Laplace operators.

• YouTube
• 18 minutes
• Self-Paced
• Free Video

For the Love of Physics

Uncertainty Principle: Wave Packet Approach and Fourier Transforms in Position/Momentum Space

Explore the Uncertainty Principle through wave packet analysis, Fourier transforms, and position-momentum space, unveiling quantum mechanics' fundamental constraints on particle properties.

• YouTube
• 53 minutes
• Self-Paced
• Free Video

Richard Behiel

Relativistic Quantum Waves and the Klein-Gordon Equation

Delve into the unification of special relativity and quantum mechanics through the Klein-Gordon equation, exploring its properties, limitations, and connections to fundamental physics concepts.

• YouTube
• 46 minutes
• Self-Paced
• Free Video

Engineering Mathematics

1 rating

Graduate engineering mathematics spanning differential equations, dynamical systems, numerical methods, transforms, and partial differential equations.

• YouTube
• 1 day 23 hours
• Self-Paced
• Free Video

IIT Bombay;  AICTE

Fourier Analysis and its applications

A rigorous, theory-first study of Fourier series and transforms, illustrated through applications from geometry, celestial mechanics, PDEs, optics, and number theory.

• Swayam
• 12 weeks
• No Longer Offered
• Free Online Course

5 Minutes Engineering

Engineering Mathematics - Complete Series on Matrices, Calculus, and Fourier Analysis

Master matrix operations, calculus concepts, and Fourier series through comprehensive Hindi tutorials covering eigenvalues, derivatives, Taylor series, and integration techniques.

• YouTube
• 7 hours 17 minutes
• Self-Paced
• Free Video

Inverters and Fourier Series in Power Electronics - Lecture 17

Explore Fourier Series, waveform characteristics, and single-phase full-bridge inverters in power electronics. Learn techniques to control AC output in DC-to-AC conversion.

• YouTube
• 51 minutes
• Self-Paced
• Free Video