# InfoCoBuild

## 18.085 Computational Science and Engineering I

18.085 Computational Science and Engineering I (Fall 2008, MIT OCW). This consists of 36 video lectures and 13 review sessions given by Professor Gilbert Strang, focusing on applied linear algebra, applied differential equations, Fourier methods, and Algorithms. This course provides a review of linear algebra, including applications to networks, structures, and estimation, Lagrange multipliers. Also covered are: differential equations of equilibrium; Laplace's equation and potential flow; boundary-value problems; minimum principles and calculus of variations; Fourier series; discrete Fourier transform; convolution; and applications. (from ocw.mit.edu)

 Lecture 22 - Gradient and Divergence

Go to the Course Home or watch other lectures:

 Lecture 01 - Four Special Matrices Recitation 01 - Key Ideas of Linear Algebra Lecture 02 - Differential Equations & Difference Equations Lecture 03 - Solving a Linear System Lecture 04 - Delta Function Day Recitation 02 - Review Lecture 05 - Eigenvalues Lecture 06 - Eigenvalues (cont.), Positive Definite Matrices Lecture 07 - Positive Definite Matrices (cont.) Recitation 03 - Review Lecture 08 - Springs and Masses Lecture 09 - Oscillation Recitation 04 - Review Lecture 10 - Finite Differences in Time; Least Squares Lecture 11 - Least Squares (cont.) Lecture 12 - Graphs and Networks Recitation 05 - Review Lecture 13 - Kirchhoff's Current Law Lecture 14 - Exam Review Recitation 06 - Review Lecture 15 - Trusses and ATCA Lecture 16 - Trusses (Part 2) Lecture 17 - Finite Elements in 1D (Part 1) Recitation 07 - Review Lecture 18 - Finite Elements in 1D (Part 2) Lecture 19 - Quadratic/Cubic Elements Lecture 20 - Element Matrices; 4th Order Bending Equations Recitation 08 - Review Lecture 21 - Boundary Conditions, Gradient, Divergence Lecture 22 - Gradient and Divergence Lecture 23 - Laplace's Equation (Part 1) Recitation 09 - Review Lecture 24 - Laplace's Equation (Part 2) Lecture 25 - Fast Poisson Solver Lecture 26 - Fast Poisson Solver (cont.); Finite Elements in 2D Recitation 10 - Review Lecture 27 - Finite Elements in 2D (cont.) Lecture 28 - Fourier Series (Part 1) Recitation 11 - Review and Preview Lecture 29 - Fourier Series (Part 2) Lecture 30 - Discrete Fourier Series Lecture 31 - Fast Fourier Transform, Convolution Recitation 12 - Review Lecture 32 - Convolution (cont.), Filtering Lecture 33 - Filters, Fourier Integral Transform Lecture 34 - Fourier Integral Transform (cont.) Recitation 13 - Review Lecture 35 - Convolution Equations: Deconvolution Lecture 36 - Sampling Theorem