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Last updated:

September 23, 2022

Duration:

Unlimited Duration

FREE

This course includes:

Unlimited Duration

Badge on Completion

Certificate of completion

Unlimited Duration

Description

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.

Note: This course was previously called “Mathematical Methods for Engineers I.”

Course Curriculum

  • 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

About the instructor

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Massachusetts Institute of Technology