Description: Mathematica and its applications to linear algebra, differential equations, and complex functions. Fourier series and Fourier transforms. Other topics in integral transforms. Filmed Spring 2014
License: Creative Commons CCBYSA
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Required attribution: Dennin, Michael. Math Methods 50 (UCI OpenCourseWare: University of California, Irvine), ocw.uci.edu/courses/physics_50_m....html. [Access date]. License: Creative Commons AttributionShareAlike 3.0 Unported License. (creativecommons.org/licenses/by...n_US).
Lessons 

1) Lecture 1.1Lec 01. Math Methods  Introduction  Part 1 Instructor: Micahel Dennin, Ph.D. Recorded on May 31, 2014.375 views

2) Lecture 1.2Lec 01. Math Methods  Introduction  Part 2 Instructor: Micahel Dennin, Ph.D. Recorded on March 31, 2014.400 views

3) Lecture 1.3Lec 01. Math Methods  Introduction  Part 3 Instructor: Micahel Dennin, Ph.D. Recorded on March 31, 2014.410 views

4) Lecture 2.1Lec 02.1. Math Methods  Series Representations Functions  Instructor: Micahel Dennin, Ph.D. Recorded on April 1, 2014.406 views

5) Lecture 2.2Lec 02.2. Math Methods  Solving Differential Equations  Instructor: Micahel Dennin, Ph.D. Recorded on April 1, 2014.410 views

6) Lecture 2.3Lec 02.3. Math Methods  Complex Numbers  Instructor: Micahel Dennin, Ph.D. Recorded on April 1, 2014.384 views

7) Lecture 2.4Lec 02.4. Math Methods  Phase Shift Linear System  Instructor: Micahel Dennin, Ph.D. Recorded on April 1, 2014.385 views

8) Lecture 3.1Lec 3.1. Math Methods  Matrices  Instructor: Micahel Dennin, Ph.D. Recorded on April 7, 2014.391 views

9) Lecture 3.2Lec 3.2. Math Methods  MAthematica  Instructor: Micahel Dennin, Ph.D. Recorded on May 31, 2014.395 views

10) Lecture 3.3Lec 03.3. Math Methods  Applications  Instructor: Micahel Dennin, Ph.D. Recorded on April 7, 2014.405 views

11) Lecture 4.1Lec 04.1. Math Methods  Geometry  Instructor: Micahel Dennin, Ph.D. Recorded on April 8, 2014.450 views

12) Lecture 4.2Lec 04.2. Math Methods  Components Versus Vector  Instructor: Micahel Dennin, Ph.D. Recorded on April 8, 2014.340 views

13) Lecture 4.3Lec 04.3. Math Methods  Vector Examples  Instructor: Micahel Dennin, Ph.D. Recorded on April 8, 2014.408 views

14) Lecture 4.4Lec 04.4. Math Methods  Textbook Examples: Plane Problems  Instructor: Micahel Dennin, Ph.D. Recorded on April 8, 2014.361 views

15) Lecture 4.5Lec 04.5. Math Methods  Linear Vector Spaces & Linear Transformations  Instructor: Micahel Dennin, Ph.D. Recorded on April 8, 2014.395 views

16) Lecture 5.1Lec 05.1. Math Methods  Central Question  Instructor: Micahel Dennin, Ph.D. Recorded on April 14, 2014.398 views

17) Lecture 5.2Lec 05.2. Math Methods  Tensors  Instructor: Micahel Dennin, Ph.D. Recorded on April 14, 2014.505 views

18) Lecture 5.3Lec 05.3 . Math Methods  Dyad  Instructor: Micahel Dennin, Ph.D. Recorded on April 14, 2014.392 views

19) Lecture 6.1Lec 6.1. Math Methods Instructor: Micahel Dennin, Ph.D. Recorded on April 15, 2014.435 views

20) Lecture 6.2Lec 06.2. Math Methods  Change of Basis  Instructor: Micahel Dennin, Ph.D. Recorded on April 15, 2014.384 views

21) Lecture 6.3Lec 06.3. Math Methods  Diagonalization  Part 1 Instructor: Micahel Dennin, Ph.D. Recorded on April 15, 2014.422 views

22) Lecture 6.4Lec 06.4. Math Methods  Finding a New Basis  Instructor: Micahel Dennin, Ph.D. Recorded on April 15, 2014.500 views

23) Lecture 6.5Lec 06.5. Math Methods  Hermitian Matrix  Instructor: Micahel Dennin, Ph.D. Recorded on April 15, 2014.386 views

24) Lecture 7.1Lec 07.1. Math Methods  Taylor Series  Instructor: Micahel Dennin, Ph.D. Recorded on April 21, 2014.352 views

25) Lecture 7.2Lec 07.2. Math Methods  Linear Independence Not Equal to Orthogonal  Instructor: Micahel Dennin, Ph.D. Recorded on April 21, 2014.426 views

26) Lecture 7.3Lec 07.3. Math Methods  Scalar Product  Instructor: Micahel Dennin, Ph.D. Recorded on April 21, 2014.305 views

27) Lecture 8.1Lec 8.1. Math Methods  Subspace  Instructor: Micahel Dennin, Ph.D. Recorded on April 22, 2014.379 views

28) Lecture 8.2Lec 08.2. Math Methods  Apples and Oranges Problem  Part 1 Instructor: Micahel Dennin, Ph.D. Recorded on April 22, 2014.373 views

29) Lecture 8.3Lec 08.3. Math Methods  Apples and Oranges Problem  Part 2 Instructor: Micahel Dennin, Ph.D. Recorded on April 22, 2014.542 views

30) Lecture 8.4Lec 08.4. Math Methods  Apples and Oranges Problem  Part 3 Instructor: Micahel Dennin, Ph.D. Recorded on April 22, 2014.365 views

31) Lecture 9.1Lec 09.1. Math Methods  Fouruer Series/Fourier Transformations  Instructor: Micahel Dennin, Ph.D. Recorded on April 28, 2014.384 views

32) Lecture 9.2Lec 09.2. Math Methods  Hermitian Operator  Instructor: Micahel Dennin, Ph.D. Recorded on April 28, 2014.346 views

33) Lecture 9.3Lec 09.3. Math Methods  Hermitian Differentials  Instructor: Micahel Dennin, Ph.D. Recorded on April 28, 2014.353 views

34) Lecture 10.1Lec 10.1. Math Methods  Normalization  Instructor: Micahel Dennin, Ph.D. Recorded on April 29, 2014.388 views

35) Lecture 10.2Lec 10.2. Math Methods  Assuming and Assumptions & Fourier Series  Instructor: Micahel Dennin, Ph.D. Recorded on April 29, 2014.570 views

36) Lecture 10.3Lec 10.3. Math Methods  Graphical Plots  Instructor: Micahel Dennin, Ph.D. Recorded on April 29, 2014.513 views

37) Lecture 10.4Lec 10.4. Math Methods  Assuming and Assumptions  Instructor: Micahel Dennin, Ph.D. Recorded on April 29, 2014.335 views

38) Lecture 10.5Lec 10.5. Math Methods  Fourier Series  Instructor: Micahel Dennin, Ph.D. Recorded on April 29, 2014.301 views

39) Lecture 11.1Lec 11.1. Math Methods  Differential Equations (DEQs)  Instructor: Micahel Dennin, Ph.D. Recorded on May 5, 2014.347 views

40) Lecture 11.2Lec 11.2. Math Methods  SeconOrder  Instructor: Micahel Dennin, Ph.D. Recorded on May 5, 2014.339 views

41) Lecture 11.3Lec 11.3. Math Methods  Two Types of ODE's  Instructor: Micahel Dennin, Ph.D. Recorded on May 5, 2014.347 views

42) Lecture 12.1Lec 12.1. Math Methods  Superposition  Instructor: Micahel Dennin, Ph.D. Recorded on May 6, 2014.330 views

43) Lecture 12.2Lec 12.2. Math Methods  Higher Order Differential Equation  Instructor: Micahel Dennin, Ph.D. Recorded on May 6, 2014.361 views

44) Lecture 12.3Lec 12.3. Math Methods  Real Space and Frequency Space  Instructor: Micahel Dennin, Ph.D. Recorded on May 6, 2014.415 views

45) Lecture 12.4Lec 12.4. Math Methods  Fourier Transforms  Instructor: Micahel Dennin, Ph.D. Recorded on May 6, 2014.447 views

46) Lecture 12.5Lec 12.5. Math Methods  Harmonic Oscillator Equation  Instructor: Micahel Dennin, Ph.D. Recorded on May 6, 2014.370 views

47) Lecture 12.6Lec 12.6. Math Methods  Mathematica  Instructor: Micahel Dennin, Ph.D. Recorded on May 6, 2014.357 views

48) Lecture 13.1Lec 13.1. Math Methods  Derivatives and Integrals  Instructor: Micahel Dennin, Ph.D. Recorded on May 12, 2014.377 views

49) Lecture 13.2Lec 13.2. Math Methods  Change of Variables  Instructor: Micahel Dennin, Ph.D. Recorded on May 12, 2014.388 views

50) Lecture 14.1Lec 14.1. Math Methods  Derivatives in 2D and 3D  Instructor: Micahel Dennin, Ph.D. Recorded on May 13, 2014.436 views

51) Lecture 14.2Lec 14.2. Math Methods  Integration  Instructor: Micahel Dennin, Ph.D. Recorded on May 13, 2014.329 views

52) Lecture 14.3Lec 14.3. Math Methods  Line Integral, Path Integral, Contour Integral  Instructor: Micahel Dennin, Ph.D. Recorded on May 13, 2014.431 views

53) Lecture 14.4Lec 14.4. Math Methods  Surface Integral and Volume Integral  Instructor: Micahel Dennin, Ph.D. Recorded on May 13, 2014.351 views

54) Lecture 14.5Lec 14.5. Math Methods  Loading Packages in Mathematica  Instructor: Micahel Dennin, Ph.D. Recorded on May 13, 2014.408 views

55) Lecture 15.1Lec 15.1. Math Methods  Review: e^iφ & Plugging in a Solution Instructor: Micahel Dennin, Ph.D. Recorded on May 19, 2014.298 views

56) Lecture 15.2Lec 15.2. Math Methods  Series of Examples  Instructor: Micahel Dennin, Ph.D. Recorded on May 19, 2014.336 views

57) Lecture 15.3Lec 15.3. Math Methods  Line Integrals  Instructor: Micahel Dennin, Ph.D. Recorded on May 19, 2014.316 views

58) Lecture 15.4Lec 15.4. Math Methods  How to Compute Integral Given a Function  Instructor: Micahel Dennin, Ph.D. Recorded on May 19, 2014.320 views

59) Lecture 16.1Lec 16.1. Math Methods  TwoDimensional Situations  Instructor: Micahel Dennin, Ph.D. Recorded on May 20, 2014.343 views

60) Lecture 16.2Lec 16.2. Math Methods  Basic Physics  Instructor: Micahel Dennin, Ph.D. Recorded on May 20, 2014.323 views

61) Lecture 16.3Lec 16.3. Math Methods  Curl (or Circulation)  Instructor: Micahel Dennin, Ph.D. Recorded on May 20, 2014.390 views

62) Lecture 16.4Lec 16.4. Math Methods  Index Notation  Instructor: Micahel Dennin, Ph.D. Recorded on May 20, 2014.608 views

63) Lecture 16.5Lec 16.5. Math Methods  Flux  Instructor: Micahel Dennin, Ph.D. Recorded on May 20, 2014.369 views

64) Lecture 17.1Lec 17.1. Math Methods  Vector Derivatives  Instructor: Micahel Dennin, Ph.D. Recorded on May 27, 2014.359 views

65) Lecture 17.2Lec 17.2. Math Methods  Relation for the Curl  Instructor: Micahel Dennin, Ph.D. Recorded on May 27, 2014.326 views

66) Lecture 17.3Lec 17.3. Math Methods  Electric Magnetism  Instructor: Micahel Dennin, Ph.D. Recorded on May 27, 2014.357 views

67) Lecture 17.4Lec 17.4. Math Methods  Curls in Magentic Field  Instructor: Micahel Dennin, Ph.D. Recorded on May 27, 2014.384 views

68) Lecture 17.5Lec 17.5. Math Methods  Review in Mathematica  Instructor: Micahel Dennin, Ph.D. Recorded on May 27, 2014.404 views

69) Lecture 18.1Lec 18.1. Math Methods  Partial Differential Equations  Instructor: Micahel Dennin, Ph.D. Recorded on June 2, 2014.331 views

70) Lecture 18.2Lec 18.2. Math Methods  Dispersion Relations  Instructor: Micahel Dennin, Ph.D. Recorded on June 2, 2014.326 views

71) Lecture 18.3Lec 18.3. Math Methods  Fundamental Steps for Separation of Variables  Instructor: Micahel Dennin, Ph.D. Recorded on June 2, 2014.355 views

72) Lecture 19.1Lec 19.1. Math Methods  Separation of Variables Problems  Instructor: Micahel Dennin, Ph.D. Recorded on June 3, 2014.471 views

73) Lecture 19.2Lec 19.2. Math Methods  Separation of Variables in Mathematica  Instructor: Micahel Dennin, Ph.D. Recorded on June 3, 2014.369 views

74) Lecture 19.3Lec 19.3. Math Methods  SemiInfinite Slab Problem  Instructor: Micahel Dennin, Ph.D. Recorded on June 3, 2014.394 views

75) Lecture 19.4Lec 19.4. Math Methods  Final Review: Linear Physics  Instructor: Micahel Dennin, Ph.D. Recorded on June 3, 2014.398 views

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