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Prerequisites
Calculus of Several Variables (18.02), Differential Equations (18.03) or Honors Differential Equations (18.034)
Course Outline
This course has three major topics:
Applied Linear Algebra

Second Difference Matrices K, T, B, C

Positive Definiteness: Pivots, Eigenvalues, Energy

A^{T}CA Framework for Equilibrium Problems

Springs and Masses

Least Squares and Covariance Matrix

Graphs, Networks, Kirchhoff's Laws

Deformation of Trusses (and Mesh Generation)

Minimum Principles and Constraints

Finite Elements in One Dimension
Boundary Value Problems
Fourier Methods and the FFT
Assignments and Exams
18.085 has regular homeworks, three onehour quizzes, and no final exam.
Texts
This course as taught during the Fall 2005 term on the MIT campus used the following text:
Strang, Gilbert. Introduction to Applied Mathematics. Wellesley, MA: WellesleyCambridge Press, 1986. ISBN: 9780961408800. (Table of Contents)
Since that time, Professor Strang has published a new textbook that is being used for this course as it is currently taught on the MIT campus, as well as for Mathematical Methods for Engineers II (18.086). Information about the new book can be found at the WellesleyCambridge Press Web site, along with a link to Prof. Strang's new "Computational Science and Engineering" Web page developed as a resource for everyone learning and doing Computational Science and Engineering.
Strang, Gilbert. Computational Science and Engineering. Wellesley, MA: WellesleyCambridge Press, 2007. ISBN: 9780961408817.
Grading
Course grading.
activities 
percentages 
Ten Problem Sets 
34% 
Three Quizzes 
66% 