Maths-Quarter.com 
29 July 2010

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  1. Our Content
  2. Examples of Material
  3. Maths Help Forums
  4. Teacher Student Communication

Our Content

Our content is written and provided by Ian Cantley BSc PGCE MIMA CMATH, a Maths Teacher of 17 years and the current Head of Mathematics Department for Wellington College Belfast. Below is the listings of our "completed" and "to be complete" course notes content.

  Completed All "To Be Completed" content have online videos and recommended links for the student to view.
  To Be Completed
Pure Maths
Indices and Surds Quadratic Equations and Functions Calculus and Trigonometry
Simultaneous Equations Inequalities Approximate Solution of Equations
Polynomials and Rational Expressions The Remainder and Factor Theorems Functions
Graphs of Functions Coordinate Geometry of a Straight Line Volumes of Revolution
Differential Calculus Sequences Vectors
Series Binomial Theorem for a Positive Integral Index Calculus with Exponentials and Logarithms
Exponentials and Logarithms Trigonometry Part 1 Numerical Integration using Simpson's Rule
Trigonometry Part 2 The Circle Trigonometry Part 3
Integral Calculus Numerical Integration using Trapezium Rule Further Integration
Partial Fractions Binomial Theorem when n is not a Positive Integer Exponentials and Logarithms
Further Differentiation    
Mechanics
Statistics
Mechanics: An Introduction Representation and Summary of Data
Forces and Particle Equilibrium Discrete Random Variables
Friction Continuous Random Variables
Moments and Impulse Probability
Kinematics Special Discrete Probability Distributions
Newton's Laws of Motion The Normal Distribution
Moments and Rigid Body Equilibrium  
 

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Examples of Material

The course notes is designed with the idea of being an online textbook, but we have also utilized the capabilities of the web to make them interactive to the student.

Maths-Quarter Course Notes include:

Printable Notes

All of Maths-Quarters printable notes are created using LaTeX and Winedt, this is software designed to create mathematical documents in PDF Form. To view an example of our printable notes click the below link:

Printable Notes Example

(The example is a simple set of notes on Pythagorus Theorem)

Interactive Step by Step Proofs, Examples and Solutions to Problems

Below is an example of our interactive step by step proofs and Solutions to problems. This enables the student to go through an example, proof or solution to a problem whilst each line of the mathematics is explained to them.

(This example is on the Proof of Pythagorus Theorem and includes a users guide on the Left)

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Animated Diagrams

Below are examples of our animated diagrams. These diagrams enable the student to view the mathematics in action.

They can be used to Illustrate:
These are just a few examples of the uses of animated diagrams. In reality animated diagrams can be used in almost every section of any mathematics course.

Transformations of Graphs

The below example is of the transformation from y=f(x) to y=af(x) .

To illustrate this, we have marked the point (x1,y1) on the graph of y=f(x), (So y1=f(x1)). Then after the transformation of y=af(x), (x1,y1) goes to the point (x1,ay1) .

Volumes of Revolution

The below example is of a graph of a function y=f(x) being revolved 360o around the x-axis to create a volume. Notice it also shows a disc of width dx (In blue), which helps the student to picture how a volume of revolution is made up of discs.

Taking Graphs to Limits

The example below illustrates the concept of differentiation from first principles. Initially it shows 2 points (P(x,y) and Q(x+dx,y+dy)) at a horzortial distance dx apart on a graph of a function. Upon play, the example displays taking dx g 0 and the chord PQ transforming into the tangent line at the point P(x,y).

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Maths Help Forums

The Course Notes includes a Mathematics Problem Forum (shown below).

This enables the student to post any problem he has on the forum at anytime.

It also gives the student a whole database of problems to search for possible solutions to his own problem.

The student can not only view problems and replies from his own school, but he can view any problem posted by any student from any school registered with Maths-Quarter.co.uk.

Once the student has posted his problem on the forum, it can be answered by any other student on the website by using a "replies" page (shown below right).

The Problem is also posted on his teachers "Teacher Back Office", this enables teachers to answer their students problems at anytime from any internet connected computer.

The Maths Problem Forum is an essential aid to the student. This is especially true during exam revision time, as the student is able to have his problems answered by his own teacher or other students whilst he studies from home.

 

The greatest attribute that the Maths-Quarter Problems Forum holds is that all its problems are viewed/answered by a Maths teacher. This provides the student with a vast supply of accurate solutions to problems related to the Mathematics course.

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Teacher-Student Communications

The Maths-Quarter Forum already lets the teacher answer any of there students problems.This is not the only communication available.

Maths-Quarter website also has a "Maths Classes", where the teacher can post messages to the students of a specific school maths class. The student can then view information specific to his maths class in the webpage "Maths Classes".

This allows the teacher to communicate with his students at anytime and from outside of the classroom.

Teachers can also post comments throughout our course notes and upload documents to any topic on the course notes.

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