Introduction to using the product rule

Introduction to using the product rule

A basic introduction to differentiation

A set of MCQ designed to help Level 2 Engineering students prepare/practice for the on-line GOLA test that is used to assess the C&G 2850, Level 2 Engineering, Unit 202: Engineering Principles.

Converting decimals to percentages.

Given the vector equations of two straight lines, find the coordinates of the point of intersection

The javascript function edge(...) draws the edges of a triangle

Given the vector equations of two straight lines, find the angle between them

A sneak peek at a really clever integration of GeoGebra with Numbas.

Questions on vector arithmetic and vector operations, including dot and cross product, as well as the vector equations of planes and lines.

Equations which can be written in the form

\[\dfrac{\mathrm{d}y}{\mathrm{d}x} = f(x),   \dfrac{\mathrm{d}y}{\mathrm{d}x} = f(y),   \dfrac{\mathrm{d}y}{\mathrm{d}x} = f(x)f(y)\]

can all be solved by integration.

In each case it is possible to separate the $x$'s to one side of the equation and the $y$'s to the other

Solving such equations is therefore known as solution by separation of variables

$x_n=\frac{an^2+b}{cn^2+d}$. Find the least integer $N$ such that $\left|x_n -\frac{a}{c}\right| < 10 ^{-r},\;n\geq N$, $2\leq r \leq 6$. Determine whether the sequence is increasing, decreasing or neither.

First- and second order recurrence equations, homogenous and nonhomogenous

In this question, a locally extreme value (and its location) of a function will be determined.

No description given

Questions using Pythagoras' theorem involving integers and surds. 

Multiple response question (4 correct out of 8) covering properties of convergent and divergent series and including questions on power series. Selection of questions from a pool.

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

Assessment questions for First Order Differential Equations (1)

Converting decimals to percentages.

Pratice of dividing by a fraction.

Practice of dividing by a decimal.  This should be solvable without using a calculator.

Practice of adding fractions.

Four questions, of increasing complexity, involving addition of decimals.  These should all be solvable without using a calculator.

Four questions, of increasing complexity, invoving multiplication.  These should all be solvable without using a calculator.

Four questions, of increasing complexity, involving long division.  These should be solvable without using a calculator.

Cancelling to reduce a fraction to its lowest terms.

Practice of multiplying fractions (without a calculator).

Practice of multiplying 2 decimal numbers.

Basic calculation exercise using distance in km, expected mph and desired arrival time (with the conversion factor for km to miles given).

Based on a generic test QTS question.