05a Mathematics 1: January 2009

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

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

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.

Definitions of Derivatives

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