Sufficient Conditions for Fourier Expansion — Study Resources & PYQs
Conditions under which a function can be represented by a Fourier series.
- Estimated study time: 60 minutes
Study resources
- Fourier Series For Continuous Functions (Part-II) (Video) — Works through the expansion of a continuous periodic function step by step, showing where the Dirichlet conditions are used and how the interval decides the limits of integration.
- Fourier Series - Bhagwan Singh Vishwakarma (Video) — Slow, board-style Hindi lectures on the whole Fourier chapter, including the Dirichlet conditions for expansion. Very good if GP Sir's pace feels fast.
- Wikipedia - Fourier series (Article) — Comprehensive reference on Fourier series: the Euler formulae for the coefficients, Dirichlet's sufficient conditions for expansion, behaviour at points of discontinuity, periodic-function expansion…
- Fourier Series - Dr. Gajendra Purohit (GP Sir), curated by Class Central (Video) — Video playlist covering even/odd function examples, half-range sine and cosine series, and harmonic analysis, all worked through with solved B.Tech problems.
- LibreTexts — When is it a Fourier Series? (Article) — Fourier series, coefficients, convergence and Parseval's lemma.
- MIT OpenCourseWare — Fourier Series and Partial Differential Equations (Article) — MIT course materials covering Fourier series and partial differential equations.
Taught in these subjects
- ENGINEERING MATHEMATICS-II — BMAT21 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-II — BMAT21 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-II — BST1201 · Government College of Engineering and Technology, Jammu
- Engineering Mathematics-II — BST1201 · Government College of Engineering and Technology, Jammu