MIT OpenCourseWare

Browse materialsMIT 18.085 · Fall 2008

Computational Science and Engineering I

Subjects: Algebra · Engineering · Linear Algebra · Mathematics · Science

Art: Anonymous painter,15th century, Westerner and Arab practicing geometry 15th century manuscript, 15th… · Public domain

Instructor: Prof. Gilbert Strang
Term: Fall 2008
Level: Graduate
What's inside: 50 videos · 19 exams · 28 solutions · 125 other files · 5 web pages
Materials open: Videos here · files on MIT OCW

Other versions of this course

18.085 · Summer 2020 · Study here
18.085 · Fall 2008 · Study here (this version)

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About this course

Source: MIT OpenCourseWare 18.085 Computational Science and Engineering I, Fall 2008, Prof. Gilbert Strang — original course page on ocw.mit.edu ↗. License: CC BY-NC-SA 4.0. Study order: MIT's own listing order, section by section. Taken from MIT's published course files, downloaded from ocw.mit.edu on September 22, 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 29 files in this course are named by MIT as solutions.

Formula sheet

MATLAB cheat sheet

License: CC BY-NC-SA 4.0 · MIT

All formula sheets →

Before you start

Prerequisites are not listed here. Check MIT's own syllabus for this course.

This course’s cited books, in our reading lists: Introduction to Linear Algebra · Differential Equations and Linear Algebra · Linear Algebra and Learning from Data · Computational Science and Engineering

How this course was organized

What's here, and what isn't

MIT's own materials here did not support a verified, course-wide order, so they are grouped by section instead.

Not included here

26 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. (24 items)
Referenced in a table, but without MIT's own verified order, so it isn't used to claim a sequence. (2 items)

Materials by section

Grouped by section, as MIT organized them. Not sequenced or ordered.

Assignments

16 files

Exams

40 files

Study Materials

15 files

Other materials from this course

51 files

50 video transcripts

49 images

MIT OpenCourseWare, Prof. Gilbert Strang, 18.085 Computational Science and Engineering I, Fall 2008.

License: CC BY-NC-SA 4.0 · Edition: Fall 2008 · Open the original course on OCW ↗

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Computational Science and Engineering I

Formula sheet

Before you start

What's here, and what isn't

Not included here

Materials by section

Assignments

Exams

Study Materials

Other materials from this course

Course Introduction

Lecture 1: Four Special Matrices

Recitation 1: Key Ideas of Linear Algebra

Lecture 2: Differential Eqns and Difference Eqns

Lecture 3: Solving a Linear System

Lecture 4: Delta Function Day

Recitation 2

Lecture 5: Eigenvalues (Part 1)

Lecture 6: Eigen Values (part 2) and Positive Definite (part 1)

Lecture 7: Positive Definite Day

Lecture 8: Springs and Masses

Recitation 3

Lecture 9: Oscillation

Recitation 4

Lecture 10: Finite Differences in Time

Lecture 11: Least Squares (part 2)

Lecture 12: Graphs and Networks

Recitation 5

Lecture 14: Exam Review

Lecture 13: Kirchhoff's Current Law

Recitation 6

Lecture 15: Trusses and A^(T)CA

Lecture 16: Trusses (part 2)

Lecture 17: Finite Elements in 1D (part 1)

Recitation 7

Lecture 18: Finite Elements in 1D (part 2)

Lecture 19: Quadratic/Cubic Elements

Lecture 20: Element Matrices; 4th Order Bending Equations

Recitation 8

Lecture 21: Boundary Conditions, Splines, Gradient, Divergence

Recitation 9

Lecture 22: Gradient and Divergence

Lecture 23: Laplace's Equation

Lecture 25: Fast Poisson Solver (part 1)

Lecture 24: Laplace's Equation (part 2)

Lecture 27: Finite Elements in 2D (part 2)

Lecture 26: Fast Poisson Solver (part 2); Finite Elements in 2D

Recitation 10

Lecture 28: Fourier Series (part 1)

Lecture 29: Fourier Series (part 2)

Recitation 11

Lecture 30: Discrete Fourier Series

Lecture 31: Fast Fourier Transform, Convolution

Recitation 12

Lecture 32: Convolution (part 2), Filtering

Lecture 33: Filters, Fourier Integral Transform

Lecture 34: Fourier Integral Transform (part 2)