Detailed discussion of using Laplace transform to solve a 1st order ODE.

Laplace transforms and inverse Laplace transforms to solve a differential equation (MathsCasts)

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We solve simultaneously the equations of a plane and a cone and show that the intersections are circles, parabolas, ellipses, hyperbolas, straight lines or just the origin.

Why are circles, ellipses, parabolas and hyperbolas called 'conic sections'? Part 2 (MathsCasts)

Deals with the details of calculating Fourier series coefficients for a function.

Calculating a Fourier series (MathsCasts)

Demonstrates that symmetry of functions helps us to shorten the calculation of the integrals needed for the Fourier coefficients.

How do odd or even functions make calculation of Fourier series simpler? (MathsCasts)

Introduces the idea of half-range Fourier series and addresses the question of why we use them.

Laplace transforms and inverse Laplace transforms to solve a differential equation (MathsCasts)

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