MathsCasts

By Swinburne University of Technology

These MathsCasts were produced by the mathematics support centres at Swinburne University, the University of Limerick and Loughborough University. They were part of a collaborative research project to... more

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FAQs about MathsCasts:

How many episodes does MathsCasts have?

The podcast currently has 598 episodes available.

MathsCasts episodes:

May 17, 2016 Differentiation by first principles example- 1 divided by x (MathsCasts)
Example of using differention by first principles to evaluate the derivative of the function y = 1 divided by x
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7min
May 17, 2016 The Laplace transform of a periodic function (MathsCasts)
We demonstrate how periodicity of a function affects the Laplace transform
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13min
May 17, 2016 Differentiation by first principles- introduction (MathsCasts)
Background to the method of differentiation by first principles
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7min
May 17, 2016 Trigonometric integrals in the complex plane - part 5 (MathsCasts)
We attempt to evaluate an integral that is not well-defined and investigate how this problem manifests itself in the complex contour version of the integral.
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8min
May 17, 2016 Proof of sum and difference formulae for sin and cos using Euler's formulae (MathsCasts)
We prove the formulae for sin(A+B) and cos(A+B) using Euler's results for sine and cos. The other sum and difference formulae work in a similar way.
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8min
May 17, 2016 Trigonometric integrals in the complex plane - part 3 (MathsCasts)
We evaluate another integral similar to that in parts 1 and 2 but containing a sine rather than a cosine. Here we prepare the integral for contour integration.
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9min
May 17, 2016 Trigonometric integrals in the complex plane - part 4 (MathsCasts)
We complete the integration introduced in part 3, using Cauchy's residue theorem.
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7min
May 17, 2016 Trigonometric integrals in the complex plane - part 1 (MathsCasts)
We prepare integral from 0 to 2 Pi of 1/(2+cos(theta)) for integration in the complex plane.
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11min
May 17, 2016 Trigonometric integrals in the complex plane - part 2 (MathsCasts)
We complete the integration introduced in part 1, using Cauchy's residue theorem.
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8min
May 17, 2016 Directional derivative using the grad operator (MathsCasts)
We write the directional derivative on a surface z=z(x,y) in terms of the grad operator acting on z as a dot product with a unit vector in the direction required.
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10min

FAQs about MathsCasts:

How many episodes does MathsCasts have?

The podcast currently has 598 episodes available.