Modelling and control by Anthony Rossiter

# INTRODUCTION TO LOGARITHMS

These videos give a quick review of the key logarithm content on A level mathematics followed by a number of questions. The main contribution is to show how questions can be solved using simple techniques linked directly to the properties of logarithmic functions. Consequently they will be useful for students who are revising and trying to improve their problem solving skills.

The videos begin by listing the key properties but do not derive these. Use the left hand toolbar to access the other chapters and themes.

 It is implicit that for many engineering topics, students have core competence in some mathematical topics such as polynomials, roots, complex numbers, exponentials, logarithms and Laplace. This section contains the following topics. Under each topic there are hardcopy (pdf) notes, a video talk through of key derivations with example problems and also a tutorial sheet for users to test themselves.

## Logarithm revision examples 1 for A level students

A rapid review of rules of logarithms and the links to indices or powers. Followed by a number of worked examples showing how logarithms can be used to solved problems involving power functions.

• A summary of key facts and derivations is given in the pdf file.
• A talk through video is on youtube.

## Logarithm revision examples 2 for A level students

A number of examples showing how the rules and properties of logarithms can be used in problem solving. Emphasises by example that familiarity with and use of core properties is most effective tool for questions that appear on typical A level papers.

• A summary of key facts and derivations is given in the pdf file.
• A talk through video is on youtube.

## Logarithm revision examples 3 for A level students

Shows how to solve a number of more challenging problems that can appear on A level appears. Emphasises how knowledge of and application of the properties (or rules) of logs makes such problems relatively straightforward.

• A summary of key facts and derivations is given in the pdf file.
• A talk through video is on youtube.