
Notes & SolutionsTMH-PDE-VOLUME-I
Partial Differential Equations (PDE) — Volume I
Rana Ali Hasan — MPhil Mathematics · Mehreen Kanwal — MPhil Mathematics
Partial Differential Equations (PDE)University / BS, BSc, MSc and MS/MPhil bridge
Study Partial Differential Equations from characteristics and classification to wave, heat, Laplace/Poisson equations, Fourier and Laplace transforms, Green functions, numerical PDEs, Sobolev spaces, variational methods and nonlinear PDEs. 32 chapters cover classical equations, transforms, Green functions, numerical PDEs, weak formulations, variational methods and nonlinear PDEs.
6 mapped course placements
- BS Mathematics — Partial Differential Equations / Applied Mathematics
- Legacy BSc Mathematics — PDE / Mathematical Methods where the scheme supports it
- Legacy MSc Mathematics — Partial Differential Equations / Applied Mathematics
- MS / MPhil Mathematics — classical-to-modern PDE bridge
- Mathematics Library — separate owner-resource record
- Related from ODE, Numerical Analysis, Fourier Analysis, Functional Analysis, Vector & Tensor Analysis and Mathematical Modelling
Notes & SolutionsUNS-MIT-FOURIER-18103
MIT 18.103 Fourier Analysis — Notes & Eleven Problem Sets
MIT OpenCourseWare
Harmonic AnalysisBS Mathematics; MS / MPhil Mathematics; PhD Mathematics
Fourier-analysis course notes and eleven problem sets.
12 mapped course placements
- Harmonic Analysis — BS Mathematics
- Harmonic Analysis — MS / MPhil Mathematics
- Harmonic Analysis — PhD Mathematics
- Measure Theory — BS Mathematics
- Measure Theory — MS / MPhil Mathematics
- Measure Theory — PhD Mathematics
- Real Analysis — BS Mathematics
- Real Analysis — MS / MPhil Mathematics
- Real Analysis — PhD Mathematics
- Integral Transforms — BS Mathematics
- Integral Transforms — MS / MPhil Mathematics
- Integral Transforms — PhD Mathematics
Notes & SolutionsUNS-MIT-FOURIER-RES18015
MIT Topics in Fourier Analysis 2024 — Notes & Exercise Solutions
MIT OpenCourseWare
Integral TransformsBS Mathematics; MS / MPhil Mathematics; PhD Mathematics
Current 2024 Fourier notes and consolidated solutions PDF.
9 mapped course placements
- Integral Transforms — BS Mathematics
- Integral Transforms — MS / MPhil Mathematics
- Integral Transforms — PhD Mathematics
- Harmonic Analysis — BS Mathematics
- Harmonic Analysis — MS / MPhil Mathematics
- Harmonic Analysis — PhD Mathematics
- Real Analysis — BS Mathematics
- Real Analysis — MS / MPhil Mathematics
- Real Analysis — PhD Mathematics