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A Simple Mesh Generator in MATLAB.

Course18.08550 lectures42 h 30 min

Computational Science and Engineering I

Prof. Gilbert Strang · Massachusetts Institute of Technology

Start with lecture 1 At MIT OpenCourseWare

About

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.”

Lectures

Video Lectures

  1. Course Introduction 5 min · Video
  2. Lecture 1: Four Special Matrices 55 min · Video
  3. Recitation 1: Key Ideas of Linear Algebra 50 min · Video
  4. Lecture 2: Differential Eqns and Difference Eqns 53 min · Video
  5. Lecture 3: Solving a Linear System 55 min · Video
  6. Lecture 4: Delta Function Day 56 min · Video
  7. Recitation 2 52 min · Video
  8. Lecture 5: Eigenvalues (Part 1) 57 min · Video
  9. Lecture 6: Eigen Values (part 2) and Positive Definite (part 1) 51 min · Video
  10. Lecture 7: Positive Definite Day 53 min · Video
  11. Lecture 8: Springs and Masses 56 min · Video
  12. Recitation 3 57 min · Video
  13. Lecture 9: Oscillation 54 min · Video
  14. Recitation 4 57 min · Video
  15. Lecture 10: Finite Differences in Time 55 min · Video
  16. Lecture 11: Least Squares (part 2) 54 min · Video
  17. Lecture 12: Graphs and Networks 51 min · Video
  18. Recitation 5 55 min · Video
  19. Lecture 14: Exam Review 53 min · Video
  20. Lecture 13: Kirchhoff's Current Law 55 min · Video
  21. Recitation 6 55 min · Video
  22. Lecture 15: Trusses and A^(T)CA 47 min · Video
  23. Lecture 16: Trusses (part 2) 49 min · Video
  24. Lecture 17: Finite Elements in 1D (part 1) 55 min · Video
  25. Recitation 7 54 min · Video
  26. Lecture 18: Finite Elements in 1D (part 2) 52 min · Video
  27. Lecture 19: Quadratic/Cubic Elements 53 min · Video
  28. Lecture 20: Element Matrices; 4th Order Bending Equations 51 min · Video
  29. Recitation 8 49 min · Video
  30. Lecture 21: Boundary Conditions, Splines, Gradient, Divergence 54 min · Video
  31. Recitation 9 52 min · Video
  32. Lecture 22: Gradient and Divergence 52 min · Video
  33. Lecture 23: Laplace's Equation 50 min · Video
  34. Lecture 25: Fast Poisson Solver (part 1) 53 min · Video
  35. Lecture 24: Laplace's Equation (part 2) 55 min · Video
  36. Lecture 27: Finite Elements in 2D (part 2) 53 min · Video
  37. Lecture 26: Fast Poisson Solver (part 2); Finite Elements in 2D 52 min · Video
  38. Recitation 10 46 min · Video
  39. Lecture 28: Fourier Series (part 1) 50 min · Video
  40. Lecture 29: Fourier Series (part 2) 49 min · Video
  41. Recitation 11 55 min · Video
  42. Lecture 30: Discrete Fourier Series 51 min · Video
  43. Lecture 31: Fast Fourier Transform, Convolution 52 min · Video
  44. Recitation 12 52 min · Video
  45. Lecture 32: Convolution (part 2), Filtering 53 min · Video
  46. Lecture 33: Filters, Fourier Integral Transform 52 min · Video
  47. Lecture 34: Fourier Integral Transform (part 2) 52 min · Video
  48. Recitation 13 51 min · Video
  49. Lecture 35: Convolution Equations: Deconvolution 52 min · Video
  50. Lecture 36: Sampling Theorem 41 min · Video

Syllabus and materials

At MIT OpenCourseWare, as the course publishes them.

Credits and licence

Institution
Massachusetts Institute of Technology
Department
Mathematics
Teacher
Prof. Gilbert Strang
Term
Fall 2008
Level
Graduate
Language
English
Subjects
Mathematics, Engineering
Source
MIT OpenCourseWare
Licence
CC BY-NC-SA 4.0, as MIT OpenCourseWare states it. Non-commercial use only. MIT OpenCourseWare's terms
Attribution
Prof. Gilbert Strang. Computational Science and Engineering I. Fall 2008. Massachusetts Institute of Technology: MIT OpenCourseWare, https://ocw.mit.edu/. License: Creative Commons BY-NC-SA.
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