Mathematics for Materials Science and Engineers
MIT 3.016

An MIT undergraduate course covering mathematical techniques necessary for understanding of materials science and engineering topics such as energetics, materials structure and symmetry, materials response to applied fields, mechanics and physics of solids and soft materials. The class uses examples from the materials science and engineering core courses to introduce mathematical concepts and materials-related problem solving skills. Topics include linear algebra and orthonormal basis, eigenvalues and eigenvectors, quadratic forms, tensor operations, symmetry operations, calculus of several variables, introduction to complex analysis, ordinary and partial differential equations, theory of distributions, and fourier analysis.

Fall 2005

Link to Course Notes for Fall 2006

Link to most current version of these Course Notes


If you are looking for previous notes
These course notes are rebuilt incrementally each time the course is regiven. If you would like access to previous notes (i.e., you have come here from Google), contact Craig Carter by email.

Instructor
W. Craig Carter
Professor
13-5018,
ccarter@mit.edu
Office Hours: Tues 9:00-10:00AM (Lecture weeks only), 13-5018
Teaching Assistant
Samuel Allen
Professor
35-415
smallen@mit.edu
Office Hours Wednesday: 8:30-10AM (Lecture weeks only), 35-415
Administration
Rachel Kemper
13-5026,
rkemper@mit.edu
Course and Laboratory Calendar

Homework Calendar

Problem Sets and Solutions

Laboratory Assignments

Style Sheet for 3.016

WCC's init.m

Useful Links


Documents:

Lecture Date Lecture Notes Mathematica
Lecture Date HTML Notes PDF (one-side print format) PDF (two-sides) Notebook HTML HTML+MathML
Sept. 7 Lecture 1 (html) Lecture 1 (pdf-1) Lecture 1 (pdf2)
Sept. 9 Lecture 2 (html) Lecture 2 (pdf-1) Lecture 2 (pdf2) Lecture 2 (.nb) Lecture 2 (html) Lecture 2 (html+mathml)
Sept. 12 Lecture 3 (html) Lecture 3 (pdf-1) Lecture 3 (pdf2) Lecture 3 (.nb) Lecture 3 (html) Lecture 3 (html+mathml)
Sept. 14 Lecture 4 (html) Lecture 4 (pdf-1) Lecture 4 (pdf2) Lecture 4 (.nb) Lecture 4 (html) Lecture 4 (html+mathml)
Sept. 16 Lecture 5 (html) Lecture 5 (pdf-1) Lecture 5 (pdf2) Lecture 5 (.nb) Lecture 5 (html) Lecture 5 (html+mathml)
Sept. 21 Lecture 6 (html) Lecture 6 (pdf-1) Lecture 6 (pdf2) Lecture 6 (.nb) Lecture 6 (html) Lecture 6 (html+mathml)
Sept. 23 Lecture 7 (html) Lecture 7 (pdf-1) Lecture 7 (pdf2) Lecture 7 (.nb) Lecture 7 (html) Lecture 7 (html+mathml)
Oct. 3 Lecture 8 (html) Lecture 8 (pdf-1) Lecture 8 (pdf2) Lecture 8 (.nb) Lecture 8 (html) Lecture 8 (html+mathml)
Oct. 7 Lecture 10 (html) Lecture 10 (pdf-1) Lecture 10 (pdf2) Lecture 10 (.nb) Lecture 10 (html) Lecture 10 (html+mathml)
Oct. 12 Lecture 11 (html) Lecture 11 (pdf-1) Lecture 11 (pdf2) Lecture 11 (.nb) Lecture 11 (html) Lecture 11 (html+mathml)
Oct. 14 Lecture 12 (html) Lecture 12 (pdf-1) Lecture 12 (pdf2) Lecture 12 (.nb) Lecture 12 (html) Lecture 12 (html+mathml)
Oct. 17 Lecture 13 (html) Lecture 13 (pdf-1) Lecture 13 (pdf2) Lecture 13 (.nb) Lecture 13 (html) Lecture 13 (html+mathml)
Oct. 19 Lecture 14 (html) Lecture 14 (pdf-1) Lecture 14 (pdf2) Lecture 14 (.nb) Lecture 14 (html) Lecture 14 (html+mathml)
Oct. 21 Lecture 15 (html) Lecture 15 (pdf-1) Lecture 15 (pdf2) Lecture 15 (.nb) Lecture 15 (html) Lecture 15 (html+mathml)
Oct. 31 Lecture 16 (html) Lecture 16 (pdf-1) Lecture 16 (pdf2) Lecture 16 (.nb) Lecture 16 (html) Lecture 16 (html+mathml)
Nov. 2 Lecture 17 (html) Lecture 17 (pdf-1) Lecture 17 (pdf2) Lecture 17 (.nb) Lecture 17 (html) Lecture 17 (html+mathml)
Nov. 4 Lecture 18 (html) Lecture 18 (pdf-1) Lecture 18 (pdf2) Lecture 18 (.nb) Lecture 18 (html) Lecture 18 (html+mathml)
Nov. 7 Lecture 19 (html) Lecture 19 (pdf-1) Lecture 19 (pdf2) Lecture 19 (.nb) Lecture 19 (html) Lecture 19 (html+mathml)
Nov. 9 Lecture 20 (html) Lecture 20 (pdf-1) Lecture 20 (pdf2) Lecture 20 (.nb) Lecture 20 (html) Lecture 20 (html+mathml)
Nov. 14 Lecture 21 (html) Lecture 21 (pdf-1) Lecture 21 (pdf2) Lecture 21 (.nb) Lecture 21 (html) Lecture 21 (html+mathml)
Nov. 23 Lecture 22 (html) Lecture 22 (pdf-1) Lecture 22 (pdf2) Lecture 22 (.nb) Lecture 22 (html) Lecture 22 (html+mathml)
Nov. 28 Lecture 23 (html) Lecture 23 (pdf-1) Lecture 23 (pdf2) Lecture 23 (.nb) Lecture 23 (html) Lecture 23 (html+mathml)
Nov. 30 Lecture 24 (html) Lecture 24 (pdf-1) Lecture 24 (pdf2) Lecture 24 (.nb) Lecture 24 (html) Lecture 24 (html+mathml)
Dec. 2 Lecture 25 (html) Lecture 25 (pdf-1) Lecture 25 (pdf2) Lecture 25 (.nb) Lecture 25 (html) Lecture 25 (html+mathml)
Dec. 5 Lecture 26 (html) Lecture 26 (pdf-1) Lecture 26 (pdf2) Lecture 26 (.nb) Lecture 26 (html) Lecture 26 (html+mathml)
Dec. 7 Lecture 27 (html) Lecture 27 (pdf-1) Lecture 27 (pdf2) Lecture 27 (.nb) Lecture 27 (html) Lecture 27 (html+mathml)
Dec. 7 lecture is shortened: Course evaluations will be handed out 7 Dec.

Links to other resources

The general public is free to use these notes for educational purposes. Complete sets can be made available, please contact ccarter@mit.edu---and please if you copy these notes and distribute them in any way, please attribute properly. If you use these notes, please attribute the author; I would very much appreciate your comments, both positive and negative, about these notes. ---WCC