Full title: Inverse Laplace transforms with (s^2 + a^2)^2 in the denominator and numerator linear or quadratic in s - Part 1 (MathsCasts). We use the result for inverse Laplace transform of a derivative to find the inverse ...

An example of calculating partial fractions when one of the factors on the denominator is an irreducible quadratic factor.

Shows how to check if a polynomial is even or odd, and extends this to a rational function.

Worked example for solving limits where x is approaching infinity. Includes graph of the function, explanation of the steps involved and why these steps are taken.

In this recording we look at a second example of how to write a composite hyperbolic function as an algebraic function of x.

Example of using differentiation by first principles to evaluate the derivative of a quadratic function.

Worked example explains how to multiply numbers and letters. Also explains the concepts of expressions, constants and coefficients.

An example that works through the process of Gaussian elimination for a system with three equations in three unknowns where there are an infinite number of solutions and the final answer is hence written in terms of a parameter t.

This screencast shows a medium-level example of the solution of a first order differential equation using the integration factors method.

This screencast shows a simple example of the solution of a first order differential equation using the integration factors method.