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Monday, May 4, 2009

Section A Practice exam questions - video tutorials index

Question 1



To view the video, Click here. Duration 5 minutes 21 seconds.

Question 2



To view the video, Click here. Duration 7 minutes 09 seconds.

Question 3:



To view the video, Click here. Duration 4 minutes 50 seconds.

Question 4:


To view the video, Click here. Duration 6 minutes 40 seconds.

Question 5:



To view the video, Click here. Duration 5 minutes 45 seconds.

Question 6:


To view the video, Click here. Duration 5 minutes 49 seconds.

Monday, March 30, 2009

Chapter 5 Tutorial Videos

Video tutorial relating to 5.4 - Chain rule

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.

Thursday, February 26, 2009

Calculus for Management Video Tutorials

They use the following text: Calculus for Business, Economics, Life Sciences, and Social Sciences, Tenth Edition, by Barnett, Ziegler, and Byleen. Unlike Thomas & Binmore, it's more geared towards business calculus:

Click HERE

For those of you that's using the Thomas Calculus Book

Hey guys, for those of you that are using the Thomas Calculus Book as an alternative to Binmore's Calculus, there's an accompanying video series available (Real Player streaming only, that sucks, but...) it's cool

From Tallahassee Community College, click HERE

Monday, February 9, 2009

VLE Chapter 4 Tutorial

Video tutorial - Integration Basics

Just as we need to know the basics of differentiation we also need the tools for integration. In this video we look at the standard integrals, indefinite and definite integrals. This corresponds to the beginning of chapter 4. Duration: 7 minutes 21 seconds.

Click HERE

Video tutorial 4.4 - Integration - Substitution method and examples

Here we specifically look at the Substitution method for solving integrals and the tips and tricks that will make it easier to solve difficult integrals where substituting would be a great choice. In addition we provide some examples based on the level of this unit. Duration 10 minutes 45 seconds.

Click HERE

Video tutorial 4.4 - Substitution on definite integrals

Although we have already looked at the Substitution method there are a few extra subtleties that apply when we have a definite integral. We look at those subtleties and the key points that you need to remember. Duration: 3 minutes 36 seconds.

Click HERE

Video tutorial 4.5 - Integration by parts


Students often find Integrating by parts difficult and/or make mistakes. In fact this is linked to differentiating products. In this video we go over some examples but also we look at the link to the product rule in differentiation which should make integrating by parts easier. Duration 8 minutes 21 seconds.

Click HERE

Video tutorial 4.6 - Partial Fractions

Another very important technique when integrating is being able to split fractions into ‘partial’ fractions and in so doing make the integration far easier. We go over a method for splitting fractions which is similar to the ‘cover-up’ method from page 69 of the subject guide but not exactly the same. Duration: 7 minutes 41 seconds.

Click HERE

Video tutorial 4.6 - Integration - Partial fractions past examination question

This integration question comes from a past examination paper. In this video we provide the solution in full and give hints on best examination practice. Duration 6 minutes 09 seconds.

Click HERE

Video tutorial 4.6 - Partial fractions advanced

This video follows on from the first partial fractions video. However, here we explain some theory behind partial fractions and demonstrate a quick trick which can be very helpful when solving an integral using partial fractions. Duration: 5 minutes 34 seconds.

Click HERE

Video tutorial 4.7 - Integration - Applications to Economics


One of the main uses of integration in this course is to calculate the total cost functions from marginal cost functions and these questions often lead on to finding the maximum profit in an economic model. We look at a classic mistake made in examinations by students involving the total cost and the fixed cost functions. Duration 6 minutes 57 seconds.

Click HERE

Video tutorial - Integration sample examination question 7


In this video we go over question 7 of the sample examination questions which can be found on page 74 of the new course pack as opposed to page 72. This integration question links to both the basics of integration and the applications to economics. Duration: 8 minutes 23 seconds.

Click HERE

Monday, January 19, 2009

Friday, January 16, 2009

Download Mathematica Player

In order to take advantage of the Practice Modules for Thomas Calculus 11e, you need the Mathematica Player

To download, click HERE

The Resource page is HERE

After you download and install the Mathematica Player please use the Mathematica Project column, the .mw is for Mac users

Thursday, January 15, 2009

For those of you w/o the VLE account - Updated Feb 10, 2009

Video tutorial 3.1 Differentation basics

Before we can deal with the more advanced differentiation of several variables in Chapter 5 we must first fully understand the basic rules or differentiation. In this video we look at these rules which are the sum, product and quotient rules as well as the composition function or chain rule.

Click HERE

Video tutorial 3.5 Differentiation - Optimisation

The main use of differentiation in this course is to optimise functions and then classify any stationary points that are found. Here we look at the main techniques of both identifying and classifying the stationary points of a given function.

Click HERE

Video tutorial 3.5 Optimisation Activity 3.10

Here we look at Activity 3.10 which can be found on page 49 of the new subject guide as opposed to page 45 of the previous version. This question uses the techniques of optimisation from chapter 3 and is the type of question that can be found in Section A of the examination.

Click HERE

For those of you that don't have VLE

Video tutorial 2.1 Sets and notation

Understanding sets and the corresponding notation is very important in Mathematics and in particular this unit. Here we look at the basic notation in set construction as well as the union and intersection operators.

Click HERE

Video tutorial 2.2 Functions

Functions are used throughout Mathematics and knowing how to manipulate functions is very important in this unit. Functions are used in Differentiation, Integration and many other areas so here we look at the foundations and also the composition of functions.

Click HERE