MIT OpenCourseWare
Introduction to Partial Differential Equations
Art: Johannes Kepler, Konjukce Saturnu a Jupiteru Originál, 1596 · Public domain
- Instructor
- Prof. Jared Speck
- Term
- Fall 2011
- Level
- Undergraduate
- What's inside
- 1 lecture note · 33 other files · 4 web pages
- Materials open
- MIT OCW
Other versions of this course
- 18.152 · Fall 2011 · Study here (this version)
- 18.152 · Fall 2005 · Study here
About this course
Source: MIT OpenCourseWare 18.152 Introduction to Partial Differential Equations, Fall 2011, Prof. Jared Speck — original course page on ocw.mit.edu ↗. License: CC BY-NC-SA 4.0. Study order: none is claimed; materials are grouped by MIT's own sections. Taken from MIT's published course files, downloaded from ocw.mit.edu on September 23, 2026. How RedLectern is built.
Materials are grouped the way MIT organized them. A verified, course-wide order has not been established here.
Has MIT solutions
Before you start
Prerequisites are not listed here. Check MIT's own syllabus for this course.
How this course was organized
What's here, and what isn't
- MIT lists a session calendar for this course, but it could not be verified well enough to build a sequence from it — materials are grouped by section instead.
Not included here
2 items from the source could not be safely included:
- MIT's page format for this item wasn't recognized clearly enough to place it safely. (2 items)
Materials by section
Grouped by section, as MIT organized them. Not sequenced or ordered.
Lecture Notes
18 files
- Session L1 · Introduction to PDEs Download
- Session L2 · Introduction to the heat equation Download
- Session L3 · The heat equation: Uniqueness Download
- Session L4 · The heat equation: Weak maximum principle and introduction to the fundamental solution Download
- Session L5 · The heat equation: Fundamental solution and the global Cauchy problem Download
- Session L6 · Laplace’s and Poisson’s equations Download
- Session L7 · Poisson’s equation: Fundamental solution Download
- Session L8 · Poisson’s equation: Green functions Download
- Session L9 · Poisson’s equation: Poisson’s formula, Harnack’s inequality, and Liouville’s theorem Download
- Session L10 · Introduction to the wave equation Download
- Session L11 · The wave equation: The method of spherical means Download
- Session L12 · The wave equation: Kirchhoff’s formula and Minkowskian geometry Download
- Session L13–L14 · The wave equation: Geometric energy estimates Download
- Session L15 · Classification of second order equations Download
- Session L16–L18 · Introduction to the Fourier transform; Fourier inversion and Plancherel’s theorem Download
- Session L19–L20 · Introduction to Schrödinger’s equation Download
- Session L21-L23 · Introduction to Lagrangian field theories Download
- Session L24 · Transport equations and Burger’s equation Download
Assignments
12 files
Exams
MIT OpenCourseWare, Prof. Jared Speck, 18.152 Introduction to Partial Differential Equations, Fall 2011.
License: CC BY-NC-SA 4.0 · Edition: Fall 2011 · Open the original course on OCW ↗
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