18.085/18.0851  Computational Science & Engr I

Review of linear algebra, applications to networks, structures, and estimation, finite difference and finite element solution of differential equations, Laplace's equation and potential flow, boundary-value problems, Fourier series, discrete Fourier transform, convolution.

Use of MATLAB/PYTHON/JULIA in a wide range of scientific and engineering applications.

Prerequisites: Calculus and some linear algebra

Textbook: Computational Science and Engineering, by Gilbert Strang (MIT COOP)(Amazon)(Office)

Book Website: http://math.mit.edu/cse/

OCW Video Lectures site: http://ocw.mit.edu/courses/mathematics/18-085-computational-science-and-engineering-i-fall-2008/

Stellar (Grades, Announcements and Homeworks): http://stellar.mit.edu/

Piazza: http://piazza.com/mit/fall2018/18085

Staff Contact Info:

Gilbert Strang (Professor): gilstrang@gmail.com

New Topics : Deep Learning with Neural Nets, Architecture and Backpropagation, Convolutional Nets for Images, Optimization by Stochastic Gradient Descent

Established Topics: Applied Linear Algebra, Finite Differences and Finite Elements, Differential Equations and Boundary Conditions, Stiffness Matrix and Conductance Matrix, Trusses and Constraints, Partial Differential Equations: Equilibrium and Flow, Fourier Transforms, DFT and the FFT Filters, Convolutions, and the Convolution Rule Graphs and Networks

Evaluation
Grades will be based on:
Homework: 36%
Quizzes (2): 36%
Project: 28%

Quizzes dates and location:
Quiz 1: Tue 10/23/18 7:30p - 9:30p at 50-340
Quiz 2: Tue 11/27/18 7:30p - 9:30p at 50-340

QUOTES FROM PREVIOUS YEARS
http://math.mit.edu/classes/18.085/StrangQuotes.pdf. Students claimed to write them down at the time.