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• Graphing Linear Functions

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Exam (6 questions) Draft

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• Michael's copy of Linear graphs

Looking at gradients and values for x and y for straight-line graphs

Exam (5 questions) Draft

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• Integration - Area Under a Graph 2

Three graphs are given with areas underneath them shaded. The student is asked to calculate their areas, using integration.  Q1 has a polynomial. Q2 has exponentials and fractional functions. Q3 requires solving a trig equation and integration by parts.

Question Draft

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• Maths_and_Stats's copy of Interactive Newton-Raphson method

Write down the Newton-Raphson formula for finding a numerical solution to the equation $e^{mx}+bx-a=0$. If $x_0=1$ find $x_1$.

Included in the Advice of this question are:

6 iterations of the method.

Graph of the NR process using jsxgraph. Also user interaction allowing change of starting value and its effect on the process.

Question Draft

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• Integration - Area under a curve 1

Graphs are given with areas underneath them shaded. The student is asked to select the correct integral which calculates its area.

Question Draft

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• Integration - Revision

5 questions on definite integrals - integrate polynomials, trig functions and exponentials; find the area under a graph; find volumes of revolution.

Exam (5 questions) Draft

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• Interactive Newton-Raphson method

Write down the Newton-Raphson formula for finding a numerical solution to the equation $e^{mx}+bx-a=0$. If $x_0=1$ find $x_1$.

Included in the Advice of this question are:

6 iterations of the method.

Graph of the NR process using jsxgraph. Also user interaction allowing change of starting value and its effect on the process.

Question Should not be used

CC BY Published

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• Visualisation of limit definition of derivative

JSXGraph code based on original by Christian Lawson-Perfect

Question Draft

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• Number of roots and stationary points of a graph

A graph (of a cubic) is given. The question is to determine the number of roots and number of stationary points the graph has. Non-calculator. Advice is given.

Question Draft

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• Thomas's copy of Nick's copy of Differentiation, graphs: Number of roots and stationary points of a graph

A graph (of a cubic) is given. The question is to determine the number of roots and number of stationary points the graph has. Non-calculator. Advice is given.

Question Draft

CC BY Published