Jinhua Mathias

A basic introduction to differentiation

More work on differentiation with fractional coefficients

A basic introduction to differentiation

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Simplifying indices.

Simplifying indices.

Simplifying indices.

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Basic solving of linear equations

Quotient and remainder, polynomial division.

Compute a table of values for a quadratic function. A JSXgraph (the graph paper) plot shows the curve going through the entered values.

Real life problems with differentiation

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Introduction to using the product rule

A basic introduction to differentiation

Identifying the correct rule to use

Differentiating the natural logarithm

Differentiating further exponentials

More work on differentiation with trigonometric functions

Putting algebraic fractions into their simplest forms

Using the chain rule with polynomials.

Finding the stationary points of a cubic with two turning points

An introduction to using the quotient rule

Using the chain rule within product rule problems.

Solving linear equations

Solve for $x$ and $y$:  \[ \begin{eqnarray} a_1x+b_1y&=&c_1\\   a_2x+b_2y&=&c_2 \end{eqnarray} \]

The included video describes a more direct method of solving when, for example, one of the equations gives a variable directly in terms of the other variable.

Simplifying indices

Finding lengths of sides of triangles

Finding the volumes of basic 3D shapes

A collection of questions to show off at a workshop for the North East and Yorkshire sigma hub, June 2016.