This screencast illustrates the method of separation of variables for a more advanced (and applied) example with a boundary condition: v dv/dz=-g+kv^2, v(h)=0.

This screencast explains how differentiation requiring combinations (or multiple uses) of the product, chain and quotient rules can be made simpler by using logarithmic differentiation. This method relies on log rules to simplify a function before taking a derivative. This particular screencast shows handwritten step by step explanations. Please compare to the other screencast going through the same example but with typed explanations, and send us feedback on which explains this concept better.

This screencast explains how differentiation requiring combinations (or multiple uses) of the product, chain and quotient rules can be made simpler by using logarithmic differentiation. This method relies on log rules to simplify a function before taking a derivative. This particular screencast shows typed explanations. Please compare to the other screencast going through the same example but with handwritten explanations, and send us feedback on which explains this concept better.

This screencast demonstrates the application of partial derivatives to finding and classifying stationary points of a 3-dimensional surface, with reference to a specific example

Application of vectors to the example of finding the equation of a plane through three points by first determining two vectors on the plane, then using the cross product to determine a normal vector to the plane, then using the normal vector and any one of the three points on the plane to determine its equation

This screencast demonstrates how Sarrus's Rule can be used to find the determinant of a 3x3 matrix. This is an alternative to the usual method of going via 2x2 sub-determinants.

This screencast gives explanation of two rules for finding unknown angles and/ or lengths of sides in any triangle: the Sine Rule and the Cosine Rule. Examples are then given to show how to apply each rule in practice.

The screencast begins by outlining the rules for finding angles in a right-angled triangle given the lengths of two of its sides. Examples are then given of applying these rules: both to finding an angle given the length of two sides in a right-angled triangle, and to finding the length of a side given the length of one of the other sides and an angle.

This screencast gives an example of sketching vertical and horizontal cross-sections of a surface and hence producing a final sketch of the resulting 3D surface (which is a paraboloid).

This screencast gives an example of sketching vertical and horizontal cross-sections of a surface and hence producing a final sketch of the resulting 3D surface (which is circular cones).