Fourier Series Courses and Certifications

Mark Newman

Understand the Fourier Series

1 rating

Dive into signal processing fundamentals through visual exploration of Fourier Series, complex numbers, and convolution techniques for building signals from sine waves.

• YouTube
• 2 hours 24 minutes
• Self-Paced
• Free Video

Differential Equations: Fourier Series and Partial Differential Equations

Use Fourier series to solve differential equations: describe periodic functions, handle ODEs with periodic input, and separate variables in PDEs with boundary conditions.

• MITx Online
• Self-Paced
• Free Online Course

3Blue1Brown

But What Is a Fourier Series? From Heat Flow to Drawing With Circles

An animated introduction to complex Fourier series, showing how rotating vectors combine to draw shapes and connect to the heat equation.

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

Differential Equations for Engineers

387 ratings

This course is about differential equations and covers material that all engineers should know. Both basic theory and applications are taught.

• Coursera
• 6 weeks, 4 hours a week
• Self-Paced
• Paid Course

Neso Academy

Introduction to Fourier Series

An introduction to representing periodic signals with Fourier series, including harmonics, sinusoidal components, and common expansion forms.

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

Steve Brunton

Fourier Series

Explore Fourier series as orthogonal sine-and-cosine representations of functions, including L2 norms, symmetry, discontinuities, Gibbs phenomenon, and MATLAB approximations.

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

Steve Brunton

Infinite Dimensional Function Spaces and Fourier Series

Learn how functions form infinite-dimensional inner product spaces and provide orthogonal bases for Fourier series.

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

Tom Rocks Maths

Oxford Calculus - Fourier Series Derivation

Derive Fourier Series coefficients for periodic functions using orthogonality relations, trigonometric identities, and integration.

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

statisticsmatt

Fourier Series

A rigorous treatment of Fourier series, covering convergence, kernels, orthogonality, integration, least squares, and foundational theorems.

• YouTube
• 3 hours 30 minutes
• Self-Paced
• Free Video

Dr. Gajendra Purohit

Fourier Series

Comprehensive exploration of Fourier series, covering even/odd functions, half-range expansions, and harmonic analysis with practical examples and solutions.

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

patrickJMT

Fourier Series

Learn how orthogonal functions and inner products produce Fourier series coefficients and function representations.

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

Fourier Series

Explores Fourier series through computation, even and odd functions, geometric linear algebra, Parseval’s identity, and a classic pi formula.

• YouTube
• 1 hour 30 minutes
• Self-Paced
• Free Video

Analysis of Transport Phenomena: Series Expansions

Apply Fourier series, Sturm–Liouville theory, and generalized expansions with Bessel functions and Legendre polynomials to model diffusion, convection, fluid dynamics, and phase transformations.

• MITx Online
• 6 weeks, 10-12 hours/week
• Self-Paced
• Free Online Course

Mark Newman

Convolution and the Fourier Series

Explains convolution as the mechanism for decomposing signals into sine waves and understanding Fourier Transform frequency, amplitude, and phase.

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

Steve Brunton

Numerical Solution to Laplace's Equation in Matlab - Intro to Fourier Series

Solve Laplace's equation numerically in MATLAB while introducing Fourier series.

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