How do odd or even functions make calculation of Fourier series simpler? (MathsCasts)
How do odd or even functions make calculation of Fourier series simpler? (MathsCasts)
Demonstrates that symmetry of functions helps us to shorten the calculation of the integrals needed for the Fourier coef... Read more
7 Mar 2017
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3mins
Introduction to half range (even or odd expansion) Fourier series (MathsCasts)
Introduction to half range (even or odd expansion) Fourier series (MathsCasts)
Introduces the idea of half-range Fourier series and addresses the question of why we use them.
7 Mar 2017
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4mins
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Calculating a Fourier series (MathsCasts)
Calculating a Fourier series (MathsCasts)
Deals with the details of calculating Fourier series coefficients for a function.
7 Mar 2017
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18mins
Why are circles, ellipses, parabolas and hyperbolas called 'conic sections'? Part 2 (MathsCasts)
Why are circles, ellipses, parabolas and hyperbolas called 'conic sections'? Part 2 (MathsCasts)
We solve simultaneously the equations of a plane and a cone and show that the intersections are circles, parabolas, elli... Read more
7 Mar 2017
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11mins
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Example of solving a set of simultaneous linear 1st order ODE's with Laplace transforms (MathsCasts)
Example of solving a set of simultaneous linear 1st order ODE's with Laplace transforms (MathsCasts)
Standard pair of linear, coupled 1st order DE's solved by Laplace transform method.
6 Mar 2017
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14mins
Sketching polynomial graphs without calculus - Part 1 (MathsCasts)
Sketching polynomial graphs without calculus - Part 1 (MathsCasts)
Sketch of y = 2(x+1)^2-3.
6 Mar 2017
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6mins
Sketching polynomial graphs without calculus - Part 4 (MathsCasts)
Sketching polynomial graphs without calculus - Part 4 (MathsCasts)
Sketch of y =(x+1)^3-2.
6 Mar 2017
•
4mins
Differentiation using the inverse function rule (MathsCasts)
Differentiation using the inverse function rule (MathsCasts)
In this recording we look at an example of differentiation using the inverse function rule.
6 Mar 2017
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6mins
The first shift theorem (MathsCasts)
The first shift theorem (MathsCasts)
Brief and simple introduction to the first shift theorem for Laplace transforms.
6 Mar 2017
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2mins
Example of solving a differential equation using Laplace transforms (MathsCasts)
Example of solving a differential equation using Laplace transforms (MathsCasts)
Demonstration of using Laplace transform to solve a 2nd order, linear, non-homogeneous, constant coefficient DE with bou... Read more
6 Mar 2017
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6mins
