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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.
FREE
This course includes
Hours of videos
1360 years, 11 months
Units & Quizzes
49
Unlimited Lifetime access
Access on mobile app
Certificate of Completion
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)
https://www.youtube.com/watch?v=StbJIv49Aco&ab_channel=MITOpenCourseWare
Course Currilcum
- Lecture 01 – Four Special Matrices Unlimited
- Recitation 01 – Key Ideas of Linear Algebra Unlimited
- Lecture 02 – Differential Equations and Difference Equations Unlimited
- Lecture 03 – Solving a Linear System Unlimited
- Lecture 04 – Delta Function Day Unlimited
- Recitation 02 – Review Unlimited
- Lecture 05 – Eigenvalues Unlimited
- Lecture 06 – Eigenvalues (cont.), Positive Definite Matrices Unlimited
- Lecture 07 – Positive Definite Matrices (cont.) Unlimited
- Recitation 03 – Review Unlimited
- Lecture 08 – Springs and Masses Unlimited
- Lecture 09 – Oscillation Unlimited
- Recitation 04 – Review Unlimited
- Lecture 10 – Finite Differences in Time; Least Squares Unlimited
- Lecture 11 – Least Squares (cont.) Unlimited
- Lecture 12 – Graphs and Networks Unlimited
- Recitation 05 – Review Unlimited
- Lecture 13 – Kirchhoff’s Current Law Unlimited
- Lecture 14 – Exam Review Unlimited
- Recitation 06 – Review Unlimited
- Lecture 15 – Trusses and ATCA Unlimited
- Lecture 16 – Trusses (Part 2) Unlimited
- Lecture 17 – Finite Elements in 1D (Part 1) Unlimited
- Recitation 07 – Review Unlimited
- Lecture 18 – Finite Elements in 1D (Part 2) Unlimited
- Lecture 19 – Quadratic/Cubic Elements Unlimited
- Lecture 20 – Element Matrices; 4th Order Bending Equations Unlimited
- Recitation 08 – Review Unlimited
- Lecture 21 – Boundary Conditions, Splines, Gradient, Divergence Unlimited
- Lecture 22 – Gradient and Divergence Unlimited
- Lecture 23 – Laplace’s Equation (Part 1) Unlimited
- Recitation 09 – Review Unlimited
- Lecture 24 – Laplace’s Equation (Part 2) Unlimited
- Lecture 25 -Fast Poisson Solver Unlimited
- Lecture 26 – Fast Poisson Solver (cont.); Finite Elements in 2D Unlimited
- Recitation 10 – Review Unlimited
- Lecture 27 – Finite Elements in 2D (cont.) Unlimited
- Lecture 28 – Fourier Series (Part 1) Unlimited
- Recitation 11 – Review and Preview Unlimited
- Lecture 29 – Fourier Series (Part 2) Unlimited
- Lecture 30 – Discrete Fourier Series Unlimited
- Lecture 31 – Fast Fourier Transform, Convolution Unlimited
- Recitation 12 – Review Unlimited
- Lecture 32 – Convolution (cont.), Filtering Unlimited
- Lecture 33 – Filters, Fourier Integral Transform Unlimited
- Lecture 34 – Fourier Integral Transform (cont.) Unlimited
- Recitation 13 – Review Unlimited
- Lecture 35 – Convolution Equations: Deconvolution Unlimited
- Lecture 36 – Sampling Theorem Unlimited
