Activities for:

# Further Maths

### Using Polar Co-ordinates

Syllabus: AQA| CCEA| EDEXCEL| MEI| OCR| WJECTopic: Polar Co-ordinatesCalculator: Casio FX-CG20

Using modulus, agument and angle of a complex number to convert between Cartesian and Polar representations.

### Plotting Cartesians, Polars and Parametrics

Syllabus: AQA| CCEA| EDEXCEL| MEI| OCR| WJECTopic: Curve SketchingCalculator: Casio FX-CG20

Plot Polar and Parametric representations of functions manually.

### Arc on a curve

Syllabus: AQA| CCEA| EDEXCEL| MEI| OCR| WJECTopic: Differential GeometryCalculator: Casio FX-CG20

You should be able to use the integral formulas for differentiable Cartesian, Polar and Parametric functions to calculate the arc length.

### Graphing Conic Sections

Syllabus: AQA| CCEA| EDEXCEL| MEI| OCR| WJECTopic: Curve SketchingCalculator: Casio FX-CG20

The built-in CONICS tool provides the ideal platform to explore the equations of conic sections in Cartesian, polar and parametric forms.

### Linear Solutions using Matrices

Syllabus: AQA| CCEA| EDEXCEL| MEI| OCR| WJECTopic: MatricesCalculator: Casio FX-CG20

Manually create a system of simultaneous linear equations in a matrix and use matrix operations to solve the system in either echelon form or reduced row echelon form.

### Summation of a Series

Syllabus: AQA| CCEA| EDEXCEL| MEI| OCR| WJECTopic: AlgebraCalculator: Casio FX-CG20

The RECURSION tool allows you to enter a series between limits and for user-defined increments.

### Roots and Quadratic Coefficients of Polynomials

Syllabus: AQA| CCEA| EDEXCEL| MEI| OCR| WJECTopic: AlgebraCalculator: Casio FX-CG20

Use of the MODIFY tool means you can explore the effect on the graph of altering the coefficients of a quadratic expression.

### Essential Graphing Tools

Syllabus: AQA| CCEA| EDEXCEL| MEI| OCR| WJECTopic: Curve SketchingCalculator: Casio FX-CG20

Using the G-SOLVE tool you can evaluate roots, intercepts, intersections, derivatives at a point, integrals and areas.

### Complex Number Calculations

Syllabus: AQA| CCEA| EDEXCEL| MEI| OCR| WJECTopic: Complex NumbersCalculator: Casio FX-CG20

Calculate addition, subtraction, multiplication and division of complex numbers manually.

### Matrix Operations

Syllabus: AQA| CCEA| EDEXCEL| MEI| OCR| WJECTopic: MatricesCalculators: Casio FX-9750GII| Casio FX-9860GII| Casio FX-CG20

Add, subtract and multiply 2x2 matrices as well as multiplication by a scalar.