18.085/18.0851 Computational Science & Engr I
Fall 2018
Instructor: Gilbert Strang
TA: Chengzhao Zhang
Lecture: MWF1:00pm-2:00pm (2-190)
Information:
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/
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%
QUOTES FROM PREVIOUS YEARS
http://math.mit.edu/classes/18.085/StrangQuotes.pdf.
Students claimed to write them down at the time.
Announcements
No announcements
