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This course provides a review of linear algebra, including applications to networks
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1
English
English [CC]
FREE
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Description
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.
Note: This course was previously called “Mathematical Methods for Engineers I.”
Course content
- Course Introduction Unlimited
- Four Special Matrices Unlimited
- Recitation 1 : Key Ideas Of Linear Algebra Unlimited
- Differential EQNS And Difference EQNS Unlimited
- Solving A Linear System Unlimited
- Delta Function Day Unlimited
- Recitation 2 Unlimited
- Eigenvalues (Part 1) Unlimited
- Eigen Values (Part 2) and Positive Definite (Part 1) Unlimited
- Positive Definite Day Unlimited
- Spring And Masses Unlimited
- Recitation 3 Unlimited
- Oscillation Unlimited
- Recitation 4 Unlimited
- Finite Differences In Time Unlimited
- Last Squares (Part 2) Unlimited
- Graph and Networks Unlimited
- Recitation 5 Unlimited
- Exam Review Unlimited
- Kirchoff’s Current Law Unlimited
- Recitation 6 Unlimited
- Trusses and A^(T)CA Unlimited
- Trusses (Part 2) Unlimited
- Finite Elements In 1D (Part 1) Unlimited
- Recitation 7 Unlimited
- Finite Elements In 1D (Part 2) Unlimited
- Quadratic/Cubic Elements Unlimited
- Elements Matrices; 4th Order Bending Equations Unlimited
- Recitation 8 Unlimited
- Boundry Conditions, Splines, Gradient, Divergence Unlimited
- Recitation 9 Unlimited
- Gradient and Divergence Unlimited
- Laplace’s Equation Unlimited
- Fast Poisson Solver (Part 1) Unlimited
- Laplace’s Equations (Part 2) Unlimited
- Finite Elements In 2D (Part 2) Unlimited
- Fast Poisson Solver (Part 2); Finite Elements In 2D Unlimited
- Recitation 10 Unlimited
- Fourier Series (Part 1) Unlimited
- Fourier Series (Part 2) Unlimited
- Recitation 11 Unlimited
- Discrete Fourier Series Unlimited
- Fast Fourier Transform Convolution Unlimited
- Recitation 12 Unlimited
- Convolution (Part 2) Filtering Unlimited
- Filters, Fourier Integral Transform Unlimited
- Fourier, Integral Transform (Part 2) Unlimited
- Recitation 13 Unlimited
- Convolution Equations: Deconvolution Unlimited
- Sampling Theorem Unlimited
Instructor
Massachusetts Institute of Technology
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