All the problems and solutions of regular differentiation need to be reconsidered when we start looking at functions of several variables. This includes the ‘Chain rule’ which still applies in this new setting but has some interesting subtleties.
To view the video, click here. Duration 7 minutes 15 seconds.
Video tutorial relating to 5.5 - Partial Differentiation
This video tutorial looks at the theory and technique behind differentiation of functions which have several variables. A few examples to see partial differentiation in practice are considered.
To view the video, click here. Duration 12 minutes 24 seconds.
Video tutorial relating to 5.6 - Optimisation
In this video tutorial the theory of partial differentiation is used to show how we optimise functions when they are of several variables. The method of classifying stationary points in this general setting is explained.
To view the video, click here. Duration 7 minutes 24 seconds.
Video tutorial - Learning activity 5.6
This video tutorial offers a work through of learning activity 5.6 on page 82 of the 2006 version of the subject guide, page 87 of the previous version. All the techniques for functions of several variables are applied.
To view the video, click here. Duration 4 minutes 28 seconds.
Video tutorial relating to 5.8 - Constrained Optimisation
As we are now considering functions of several variables simply looking at standard optimisation is not enough. In this video we look at Lagrange’s method for solving constrained optimisation which utilises partial differentiation.
To view the video, click here. Duration 8 minutes 53 seconds.
Posts
No comments:
Post a Comment