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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