Sunday, May 10, 2009
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 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.
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
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
From Tallahassee Community College, click HERE
Sunday, February 22, 2009
Tuesday, February 17, 2009
Tuesday, February 10, 2009
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
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
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
Tuesday, January 27, 2009
Differentiation Problem Sets
From Massey University
http://mathsfirst.massey.ac.nz/Calculus/MixDiff.htm
Problems about Differentiation and Functions
http://home.scarlet.be/~ping1339/Pdiff.htm
The Calculus Page
http://www.math.ucdavis.edu/~kouba/ProblemsList.html
http://mathsfirst.massey.ac.nz/Calculus/MixDiff.htm
Problems about Differentiation and Functions
http://home.scarlet.be/~ping1339/Pdiff.htm
The Calculus Page
http://www.math.ucdavis.edu/~kouba/ProblemsList.html
Lecture 6 - The Derivative of a Function
Available on iTunes at iTunes U, I will upload an instructional video later :D
Tuesday, January 20, 2009
Monday, January 19, 2009
WWW.MATHTV.COM
Great Web Site, they have video explanations of many mathematical problems, check them out http://www.mathtv.com You do have to register, but it's FREE, so enjoy, please go to the calculus section, this will be pertinent to us.
Friday, January 16, 2009
Download Mathematica Player
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
Click HERE
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
Wednesday, January 7, 2009
Helpful Math Links
Flash Cards for Calculus
http://media.pearsoncmg.com/aw/aw_thomas_calculus_11/flashcards/tcu11_flashcards.html
Thomas Calculus Student Resources
http://wps.aw.com/aw_thomas_calculus_11/29/7661/1961402.cw/index.html
http://media.pearsoncmg.com/aw/aw_thomas_calculus_11/flashcards/tcu11_flashcards.html
Thomas Calculus Student Resources
http://wps.aw.com/aw_thomas_calculus_11/29/7661/1961402.cw/index.html
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