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Physics 50: Math Methods - UCI FREE

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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 CC-BY-SA
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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 Attribution-ShareAlike 3.0 Unported License. (creativecommons.org/licenses/by-...n_US).

Lessons
1) Lecture 1.1 Lec 01. Math Methods -- Introduction -- Part 1 Instructor: Micahel Dennin, Ph.D. Recorded on May 31, 2014. 375 views watch video
2) Lecture 1.2 Lec 01. Math Methods -- Introduction -- Part 2 Instructor: Micahel Dennin, Ph.D. Recorded on March 31, 2014. 400 views watch video
3) Lecture 1.3 Lec 01. Math Methods -- Introduction -- Part 3 Instructor: Micahel Dennin, Ph.D. Recorded on March 31, 2014. 410 views watch video
4) Lecture 2.1 Lec 02.1. Math Methods -- Series Representations Functions -- Instructor: Micahel Dennin, Ph.D. Recorded on April 1, 2014. 406 views watch video
5) Lecture 2.2 Lec 02.2. Math Methods -- Solving Differential Equations -- Instructor: Micahel Dennin, Ph.D. Recorded on April 1, 2014. 410 views watch video
6) Lecture 2.3 Lec 02.3. Math Methods -- Complex Numbers -- Instructor: Micahel Dennin, Ph.D. Recorded on April 1, 2014. 384 views watch video
7) Lecture 2.4 Lec 02.4. Math Methods -- Phase Shift Linear System -- Instructor: Micahel Dennin, Ph.D. Recorded on April 1, 2014. 385 views watch video
8) Lecture 3.1 Lec 3.1. Math Methods -- Matrices -- Instructor: Micahel Dennin, Ph.D. Recorded on April 7, 2014. 391 views watch video
9) Lecture 3.2 Lec 3.2. Math Methods -- MAthematica -- Instructor: Micahel Dennin, Ph.D. Recorded on May 31, 2014. 395 views watch video
10) Lecture 3.3 Lec 03.3. Math Methods -- Applications -- Instructor: Micahel Dennin, Ph.D. Recorded on April 7, 2014. 405 views watch video
11) Lecture 4.1 Lec 04.1. Math Methods -- Geometry -- Instructor: Micahel Dennin, Ph.D. Recorded on April 8, 2014. 450 views watch video
12) Lecture 4.2 Lec 04.2. Math Methods -- Components Versus Vector -- Instructor: Micahel Dennin, Ph.D. Recorded on April 8, 2014. 340 views watch video
13) Lecture 4.3 Lec 04.3. Math Methods -- Vector Examples -- Instructor: Micahel Dennin, Ph.D. Recorded on April 8, 2014. 408 views watch video
14) Lecture 4.4 Lec 04.4. Math Methods -- Textbook Examples: Plane Problems -- Instructor: Micahel Dennin, Ph.D. Recorded on April 8, 2014. 361 views watch video
15) Lecture 4.5 Lec 04.5. Math Methods -- Linear Vector Spaces & Linear Transformations -- Instructor: Micahel Dennin, Ph.D. Recorded on April 8, 2014. 395 views watch video
16) Lecture 5.1 Lec 05.1. Math Methods -- Central Question -- Instructor: Micahel Dennin, Ph.D. Recorded on April 14, 2014. 398 views watch video
17) Lecture 5.2 Lec 05.2. Math Methods -- Tensors -- Instructor: Micahel Dennin, Ph.D. Recorded on April 14, 2014. 505 views watch video
18) Lecture 5.3 Lec 05.3 . Math Methods -- Dyad -- Instructor: Micahel Dennin, Ph.D. Recorded on April 14, 2014. 392 views watch video
19) Lecture 6.1 Lec 6.1. Math Methods Instructor: Micahel Dennin, Ph.D. Recorded on April 15, 2014. 435 views watch video
20) Lecture 6.2 Lec 06.2. Math Methods -- Change of Basis -- Instructor: Micahel Dennin, Ph.D. Recorded on April 15, 2014. 384 views watch video
21) Lecture 6.3 Lec 06.3. Math Methods -- Diagonalization -- Part 1 Instructor: Micahel Dennin, Ph.D. Recorded on April 15, 2014. 422 views watch video
22) Lecture 6.4 Lec 06.4. Math Methods -- Finding a New Basis -- Instructor: Micahel Dennin, Ph.D. Recorded on April 15, 2014. 500 views watch video
23) Lecture 6.5 Lec 06.5. Math Methods -- Hermitian Matrix -- Instructor: Micahel Dennin, Ph.D. Recorded on April 15, 2014. 386 views watch video
24) Lecture 7.1 Lec 07.1. Math Methods -- Taylor Series -- Instructor: Micahel Dennin, Ph.D. Recorded on April 21, 2014. 352 views watch video
25) Lecture 7.2 Lec 07.2. Math Methods -- Linear Independence Not Equal to Orthogonal -- Instructor: Micahel Dennin, Ph.D. Recorded on April 21, 2014. 426 views watch video
26) Lecture 7.3 Lec 07.3. Math Methods -- Scalar Product -- Instructor: Micahel Dennin, Ph.D. Recorded on April 21, 2014. 305 views watch video
27) Lecture 8.1 Lec 8.1. Math Methods -- Subspace -- Instructor: Micahel Dennin, Ph.D. Recorded on April 22, 2014. 379 views watch video
28) Lecture 8.2 Lec 08.2. Math Methods -- Apples and Oranges Problem -- Part 1 Instructor: Micahel Dennin, Ph.D. Recorded on April 22, 2014. 373 views watch video
29) Lecture 8.3 Lec 08.3. Math Methods -- Apples and Oranges Problem -- Part 2 Instructor: Micahel Dennin, Ph.D. Recorded on April 22, 2014. 542 views watch video
30) Lecture 8.4 Lec 08.4. Math Methods -- Apples and Oranges Problem -- Part 3 Instructor: Micahel Dennin, Ph.D. Recorded on April 22, 2014. 365 views watch video
31) Lecture 9.1 Lec 09.1. Math Methods -- Fouruer Series/Fourier Transformations -- Instructor: Micahel Dennin, Ph.D. Recorded on April 28, 2014. 384 views watch video
32) Lecture 9.2 Lec 09.2. Math Methods -- Hermitian Operator -- Instructor: Micahel Dennin, Ph.D. Recorded on April 28, 2014. 346 views watch video
33) Lecture 9.3 Lec 09.3. Math Methods -- Hermitian Differentials -- Instructor: Micahel Dennin, Ph.D. Recorded on April 28, 2014. 353 views watch video
34) Lecture 10.1 Lec 10.1. Math Methods -- Normalization -- Instructor: Micahel Dennin, Ph.D. Recorded on April 29, 2014. 388 views watch video
35) Lecture 10.2 Lec 10.2. Math Methods -- Assuming and Assumptions & Fourier Series -- Instructor: Micahel Dennin, Ph.D. Recorded on April 29, 2014. 570 views watch video
36) Lecture 10.3 Lec 10.3. Math Methods -- Graphical Plots -- Instructor: Micahel Dennin, Ph.D. Recorded on April 29, 2014. 513 views watch video
37) Lecture 10.4 Lec 10.4. Math Methods -- Assuming and Assumptions -- Instructor: Micahel Dennin, Ph.D. Recorded on April 29, 2014. 335 views watch video
38) Lecture 10.5 Lec 10.5. Math Methods -- Fourier Series -- Instructor: Micahel Dennin, Ph.D. Recorded on April 29, 2014. 301 views watch video
39) Lecture 11.1 Lec 11.1. Math Methods -- Differential Equations (DEQs) -- Instructor: Micahel Dennin, Ph.D. Recorded on May 5, 2014. 347 views watch video
40) Lecture 11.2 Lec 11.2. Math Methods -- Secon-Order -- Instructor: Micahel Dennin, Ph.D. Recorded on May 5, 2014. 339 views watch video
41) Lecture 11.3 Lec 11.3. Math Methods -- Two Types of ODE's -- Instructor: Micahel Dennin, Ph.D. Recorded on May 5, 2014. 347 views watch video
42) Lecture 12.1 Lec 12.1. Math Methods -- Superposition -- Instructor: Micahel Dennin, Ph.D. Recorded on May 6, 2014. 330 views watch video
43) Lecture 12.2 Lec 12.2. Math Methods -- Higher Order Differential Equation -- Instructor: Micahel Dennin, Ph.D. Recorded on May 6, 2014. 361 views watch video
44) Lecture 12.3 Lec 12.3. Math Methods -- Real Space and Frequency Space -- Instructor: Micahel Dennin, Ph.D. Recorded on May 6, 2014. 415 views watch video
45) Lecture 12.4 Lec 12.4. Math Methods -- Fourier Transforms -- Instructor: Micahel Dennin, Ph.D. Recorded on May 6, 2014. 447 views watch video
46) Lecture 12.5 Lec 12.5. Math Methods -- Harmonic Oscillator Equation -- Instructor: Micahel Dennin, Ph.D. Recorded on May 6, 2014. 370 views watch video
47) Lecture 12.6 Lec 12.6. Math Methods -- Mathematica -- Instructor: Micahel Dennin, Ph.D. Recorded on May 6, 2014. 357 views watch video
48) Lecture 13.1 Lec 13.1. Math Methods -- Derivatives and Integrals -- Instructor: Micahel Dennin, Ph.D. Recorded on May 12, 2014. 377 views watch video
49) Lecture 13.2 Lec 13.2. Math Methods -- Change of Variables -- Instructor: Micahel Dennin, Ph.D. Recorded on May 12, 2014. 388 views watch video
50) Lecture 14.1 Lec 14.1. Math Methods -- Derivatives in 2D and 3D -- Instructor: Micahel Dennin, Ph.D. Recorded on May 13, 2014. 436 views watch video
51) Lecture 14.2 Lec 14.2. Math Methods -- Integration -- Instructor: Micahel Dennin, Ph.D. Recorded on May 13, 2014. 329 views watch video
52) Lecture 14.3 Lec 14.3. Math Methods -- Line Integral, Path Integral, Contour Integral -- Instructor: Micahel Dennin, Ph.D. Recorded on May 13, 2014. 431 views watch video
53) Lecture 14.4 Lec 14.4. Math Methods -- Surface Integral and Volume Integral -- Instructor: Micahel Dennin, Ph.D. Recorded on May 13, 2014. 351 views watch video
54) Lecture 14.5 Lec 14.5. Math Methods -- Loading Packages in Mathematica -- Instructor: Micahel Dennin, Ph.D. Recorded on May 13, 2014. 408 views watch video
55) Lecture 15.1 Lec 15.1. Math Methods -- Review: e^iφ & Plugging in a Solution Instructor: Micahel Dennin, Ph.D. Recorded on May 19, 2014. 298 views watch video
56) Lecture 15.2 Lec 15.2. Math Methods -- Series of Examples -- Instructor: Micahel Dennin, Ph.D. Recorded on May 19, 2014. 336 views watch video
57) Lecture 15.3 Lec 15.3. Math Methods -- Line Integrals -- Instructor: Micahel Dennin, Ph.D. Recorded on May 19, 2014. 316 views watch video
58) Lecture 15.4 Lec 15.4. Math Methods -- How to Compute Integral Given a Function -- Instructor: Micahel Dennin, Ph.D. Recorded on May 19, 2014. 320 views watch video
59) Lecture 16.1 Lec 16.1. Math Methods -- Two-Dimensional Situations -- Instructor: Micahel Dennin, Ph.D. Recorded on May 20, 2014. 343 views watch video
60) Lecture 16.2 Lec 16.2. Math Methods -- Basic Physics -- Instructor: Micahel Dennin, Ph.D. Recorded on May 20, 2014. 323 views watch video
61) Lecture 16.3 Lec 16.3. Math Methods -- Curl (or Circulation) -- Instructor: Micahel Dennin, Ph.D. Recorded on May 20, 2014. 390 views watch video
62) Lecture 16.4 Lec 16.4. Math Methods -- Index Notation -- Instructor: Micahel Dennin, Ph.D. Recorded on May 20, 2014. 608 views watch video
63) Lecture 16.5 Lec 16.5. Math Methods -- Flux -- Instructor: Micahel Dennin, Ph.D. Recorded on May 20, 2014. 369 views watch video
64) Lecture 17.1 Lec 17.1. Math Methods -- Vector Derivatives -- Instructor: Micahel Dennin, Ph.D. Recorded on May 27, 2014. 359 views watch video
65) Lecture 17.2 Lec 17.2. Math Methods -- Relation for the Curl -- Instructor: Micahel Dennin, Ph.D. Recorded on May 27, 2014. 326 views watch video
66) Lecture 17.3 Lec 17.3. Math Methods -- Electric Magnetism -- Instructor: Micahel Dennin, Ph.D. Recorded on May 27, 2014. 357 views watch video
67) Lecture 17.4 Lec 17.4. Math Methods -- Curls in Magentic Field -- Instructor: Micahel Dennin, Ph.D. Recorded on May 27, 2014. 384 views watch video
68) Lecture 17.5 Lec 17.5. Math Methods -- Review in Mathematica -- Instructor: Micahel Dennin, Ph.D. Recorded on May 27, 2014. 404 views watch video
69) Lecture 18.1 Lec 18.1. Math Methods -- Partial Differential Equations -- Instructor: Micahel Dennin, Ph.D. Recorded on June 2, 2014. 331 views watch video
70) Lecture 18.2 Lec 18.2. Math Methods -- Dispersion Relations -- Instructor: Micahel Dennin, Ph.D. Recorded on June 2, 2014. 326 views watch video
71) Lecture 18.3 Lec 18.3. Math Methods -- Fundamental Steps for Separation of Variables -- Instructor: Micahel Dennin, Ph.D. Recorded on June 2, 2014. 355 views watch video
72) Lecture 19.1 Lec 19.1. Math Methods -- Separation of Variables Problems -- Instructor: Micahel Dennin, Ph.D. Recorded on June 3, 2014. 471 views watch video
73) Lecture 19.2 Lec 19.2. Math Methods -- Separation of Variables in Mathematica -- Instructor: Micahel Dennin, Ph.D. Recorded on June 3, 2014. 369 views watch video
74) Lecture 19.3 Lec 19.3. Math Methods -- Semi-Infinite Slab Problem -- Instructor: Micahel Dennin, Ph.D. Recorded on June 3, 2014. 394 views watch video
75) Lecture 19.4 Lec 19.4. Math Methods -- Final Review: Linear Physics -- Instructor: Micahel Dennin, Ph.D. Recorded on June 3, 2014. 398 views watch video

Physics 50: Math Methods - UCI FREE

Lessons

Lec 01. Math Methods -- Introduction -- Part 1 Instructor: Micahel Dennin, Ph.D. Recorded on May 31, 2014.

Lec 01. Math Methods -- Introduction -- Part 2 Instructor: Micahel Dennin, Ph.D. Recorded on March 31, 2014.

Lec 01. Math Methods -- Introduction -- Part 3 Instructor: Micahel Dennin, Ph.D. Recorded on March 31, 2014.

Lec 02.1. Math Methods -- Series Representations Functions -- Instructor: Micahel Dennin, Ph.D. Recorded on April 1, 2014.

Lec 02.2. Math Methods -- Solving Differential Equations -- Instructor: Micahel Dennin, Ph.D. Recorded on April 1, 2014.

Lec 02.3. Math Methods -- Complex Numbers -- Instructor: Micahel Dennin, Ph.D. Recorded on April 1, 2014.

Lec 02.4. Math Methods -- Phase Shift Linear System -- Instructor: Micahel Dennin, Ph.D. Recorded on April 1, 2014.

Lec 3.1. Math Methods -- Matrices -- Instructor: Micahel Dennin, Ph.D. Recorded on April 7, 2014.

Lec 3.2. Math Methods -- MAthematica -- Instructor: Micahel Dennin, Ph.D. Recorded on May 31, 2014.

Lec 03.3. Math Methods -- Applications -- Instructor: Micahel Dennin, Ph.D. Recorded on April 7, 2014.

Lec 04.1. Math Methods -- Geometry -- Instructor: Micahel Dennin, Ph.D. Recorded on April 8, 2014.

Lec 04.2. Math Methods -- Components Versus Vector -- Instructor: Micahel Dennin, Ph.D. Recorded on April 8, 2014.

Lec 04.3. Math Methods -- Vector Examples -- Instructor: Micahel Dennin, Ph.D. Recorded on April 8, 2014.

Lec 04.4. Math Methods -- Textbook Examples: Plane Problems -- Instructor: Micahel Dennin, Ph.D. Recorded on April 8, 2014.

Lec 04.5. Math Methods -- Linear Vector Spaces & Linear Transformations -- Instructor: Micahel Dennin, Ph.D. Recorded on April 8, 2014.

Lec 05.1. Math Methods -- Central Question -- Instructor: Micahel Dennin, Ph.D. Recorded on April 14, 2014.

Lec 05.2. Math Methods -- Tensors -- Instructor: Micahel Dennin, Ph.D. Recorded on April 14, 2014.

Lec 05.3 . Math Methods -- Dyad -- Instructor: Micahel Dennin, Ph.D. Recorded on April 14, 2014.

Lec 6.1. Math Methods Instructor: Micahel Dennin, Ph.D. Recorded on April 15, 2014.

Lec 06.2. Math Methods -- Change of Basis -- Instructor: Micahel Dennin, Ph.D. Recorded on April 15, 2014.

Lec 06.3. Math Methods -- Diagonalization -- Part 1 Instructor: Micahel Dennin, Ph.D. Recorded on April 15, 2014.

Lec 06.4. Math Methods -- Finding a New Basis -- Instructor: Micahel Dennin, Ph.D. Recorded on April 15, 2014.

Lec 06.5. Math Methods -- Hermitian Matrix -- Instructor: Micahel Dennin, Ph.D. Recorded on April 15, 2014.

Lec 07.1. Math Methods -- Taylor Series -- Instructor: Micahel Dennin, Ph.D. Recorded on April 21, 2014.

Lec 07.2. Math Methods -- Linear Independence Not Equal to Orthogonal -- Instructor: Micahel Dennin, Ph.D. Recorded on April 21, 2014.

Lec 07.3. Math Methods -- Scalar Product -- Instructor: Micahel Dennin, Ph.D. Recorded on April 21, 2014.

Lec 8.1. Math Methods -- Subspace -- Instructor: Micahel Dennin, Ph.D. Recorded on April 22, 2014.

Lec 08.2. Math Methods -- Apples and Oranges Problem -- Part 1 Instructor: Micahel Dennin, Ph.D. Recorded on April 22, 2014.

Lec 08.3. Math Methods -- Apples and Oranges Problem -- Part 2 Instructor: Micahel Dennin, Ph.D. Recorded on April 22, 2014.

Lec 08.4. Math Methods -- Apples and Oranges Problem -- Part 3 Instructor: Micahel Dennin, Ph.D. Recorded on April 22, 2014.

Lec 09.1. Math Methods -- Fouruer Series/Fourier Transformations -- Instructor: Micahel Dennin, Ph.D. Recorded on April 28, 2014.

Lec 09.2. Math Methods -- Hermitian Operator -- Instructor: Micahel Dennin, Ph.D. Recorded on April 28, 2014.

Lec 09.3. Math Methods -- Hermitian Differentials -- Instructor: Micahel Dennin, Ph.D. Recorded on April 28, 2014.

Lec 10.1. Math Methods -- Normalization -- Instructor: Micahel Dennin, Ph.D. Recorded on April 29, 2014.

Lec 10.2. Math Methods -- Assuming and Assumptions & Fourier Series -- Instructor: Micahel Dennin, Ph.D. Recorded on April 29, 2014.

Lec 10.3. Math Methods -- Graphical Plots -- Instructor: Micahel Dennin, Ph.D. Recorded on April 29, 2014.

Lec 10.4. Math Methods -- Assuming and Assumptions -- Instructor: Micahel Dennin, Ph.D. Recorded on April 29, 2014.

Lec 10.5. Math Methods -- Fourier Series -- Instructor: Micahel Dennin, Ph.D. Recorded on April 29, 2014.

Lec 11.1. Math Methods -- Differential Equations (DEQs) -- Instructor: Micahel Dennin, Ph.D. Recorded on May 5, 2014.

Lec 11.2. Math Methods -- Secon-Order -- Instructor: Micahel Dennin, Ph.D. Recorded on May 5, 2014.

Lec 11.3. Math Methods -- Two Types of ODE's -- Instructor: Micahel Dennin, Ph.D. Recorded on May 5, 2014.

Lec 12.1. Math Methods -- Superposition -- Instructor: Micahel Dennin, Ph.D. Recorded on May 6, 2014.

Lec 12.2. Math Methods -- Higher Order Differential Equation -- Instructor: Micahel Dennin, Ph.D. Recorded on May 6, 2014.

Lec 12.3. Math Methods -- Real Space and Frequency Space -- Instructor: Micahel Dennin, Ph.D. Recorded on May 6, 2014.

Lec 12.4. Math Methods -- Fourier Transforms -- Instructor: Micahel Dennin, Ph.D. Recorded on May 6, 2014.

Lec 12.5. Math Methods -- Harmonic Oscillator Equation -- Instructor: Micahel Dennin, Ph.D. Recorded on May 6, 2014.

Lec 12.6. Math Methods -- Mathematica -- Instructor: Micahel Dennin, Ph.D. Recorded on May 6, 2014.

Lec 13.1. Math Methods -- Derivatives and Integrals -- Instructor: Micahel Dennin, Ph.D. Recorded on May 12, 2014.

Lec 13.2. Math Methods -- Change of Variables -- Instructor: Micahel Dennin, Ph.D. Recorded on May 12, 2014.

Lec 14.1. Math Methods -- Derivatives in 2D and 3D -- Instructor: Micahel Dennin, Ph.D. Recorded on May 13, 2014.

Lec 14.2. Math Methods -- Integration -- Instructor: Micahel Dennin, Ph.D. Recorded on May 13, 2014.

Lec 14.3. Math Methods -- Line Integral, Path Integral, Contour Integral -- Instructor: Micahel Dennin, Ph.D. Recorded on May 13, 2014.

Lec 14.4. Math Methods -- Surface Integral and Volume Integral -- Instructor: Micahel Dennin, Ph.D. Recorded on May 13, 2014.

Lec 14.5. Math Methods -- Loading Packages in Mathematica -- Instructor: Micahel Dennin, Ph.D. Recorded on May 13, 2014.

Lec 15.1. Math Methods -- Review: e^iφ & Plugging in a Solution Instructor: Micahel Dennin, Ph.D. Recorded on May 19, 2014.

Lec 15.2. Math Methods -- Series of Examples -- Instructor: Micahel Dennin, Ph.D. Recorded on May 19, 2014.

Lec 15.3. Math Methods -- Line Integrals -- Instructor: Micahel Dennin, Ph.D. Recorded on May 19, 2014.

Lec 15.4. Math Methods -- How to Compute Integral Given a Function -- Instructor: Micahel Dennin, Ph.D. Recorded on May 19, 2014.

Lec 16.1. Math Methods -- Two-Dimensional Situations -- Instructor: Micahel Dennin, Ph.D. Recorded on May 20, 2014.

Lec 16.2. Math Methods -- Basic Physics -- Instructor: Micahel Dennin, Ph.D. Recorded on May 20, 2014.

Lec 16.3. Math Methods -- Curl (or Circulation) -- Instructor: Micahel Dennin, Ph.D. Recorded on May 20, 2014.

Lec 16.4. Math Methods -- Index Notation -- Instructor: Micahel Dennin, Ph.D. Recorded on May 20, 2014.

Lec 16.5. Math Methods -- Flux -- Instructor: Micahel Dennin, Ph.D. Recorded on May 20, 2014.

Lec 17.1. Math Methods -- Vector Derivatives -- Instructor: Micahel Dennin, Ph.D. Recorded on May 27, 2014.

Lec 17.2. Math Methods -- Relation for the Curl -- Instructor: Micahel Dennin, Ph.D. Recorded on May 27, 2014.

Lec 17.3. Math Methods -- Electric Magnetism -- Instructor: Micahel Dennin, Ph.D. Recorded on May 27, 2014.

Lec 17.4. Math Methods -- Curls in Magentic Field -- Instructor: Micahel Dennin, Ph.D. Recorded on May 27, 2014.

Lec 17.5. Math Methods -- Review in Mathematica -- Instructor: Micahel Dennin, Ph.D. Recorded on May 27, 2014.

Lec 18.1. Math Methods -- Partial Differential Equations -- Instructor: Micahel Dennin, Ph.D. Recorded on June 2, 2014.

Lec 18.2. Math Methods -- Dispersion Relations -- Instructor: Micahel Dennin, Ph.D. Recorded on June 2, 2014.

Lec 18.3. Math Methods -- Fundamental Steps for Separation of Variables -- Instructor: Micahel Dennin, Ph.D. Recorded on June 2, 2014.

Lec 19.1. Math Methods -- Separation of Variables Problems -- Instructor: Micahel Dennin, Ph.D. Recorded on June 3, 2014.

Lec 19.2. Math Methods -- Separation of Variables in Mathematica -- Instructor: Micahel Dennin, Ph.D. Recorded on June 3, 2014.

Lec 19.3. Math Methods -- Semi-Infinite Slab Problem -- Instructor: Micahel Dennin, Ph.D. Recorded on June 3, 2014.