CraigsMaths

Mathematics Teaching for Learning

Limits Theorems

October 6th, 2008

Limits theorems are used to find a limit for function that may be comprised of many terms. Using the theorems split the original function into 2 or more functions and evaluate the limits to each part seperately. Then recombine each individual limit to get the limit of the original function. Read the rest of this entry »

Solving equations when the pronumeral is an exponent

September 26th, 2008

If you have an equation and want to solve for an unknown in the exponent simply take the logarithm of both sides and apply the indices/logarithms laws.

An example follows: Read the rest of this entry »

Sketching exponential functions summary

September 20th, 2008

As discussed in graphs of exponential functions the most informative approach is to view the general form

y=ae^{b\left(x-c\right)}+d

as a set of transformations.

These transformations are summarised here in tabular form. Read the rest of this entry »

Graphs of logarithmic functions

August 25th, 2008

By comparing logarithmic functions with the simple form it is easy to sketch their graphs using a transformational approach. Read the rest of this entry »

Graphs of exponential functions

August 18th, 2008

By comparing exponential and logarithmic functions with their simplest forms it is easy to sketch their graphs using a transformational approach.

Read the rest of this entry »