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Physics 50: Math Methods - UCI

Physics 50: Math Methods - UCI

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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
Terms of Use: ocw.uci.edu/info.
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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 hide description

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.

Lec 19.4. Math Methods -- Final Review: Linear Physics -- Instructor: Micahel Dennin, Ph.D. Recorded on June 3, 2014.
 

 

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