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

Solve a pair of linear equations by writing an equivalent matrix equation.

Integration by Substitution

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Critical points, absolute minimum, local maximum and minimum points, increasing and decreasing, concavity

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This quiz is designed to help you practise your integration techniques.

Improvements needed:

• Add some definite integrals to Q2
• Use different variables

Basic indefinite integrals, Basic definite integrals, integration by substitution

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Quiz to assess matrix addition, subtraction, multiplication and multiplication by scalar, determinants and inverses, solving a system of simultaneous equations.

5 questions on indefinite integration. Includes integration by parts and integration by substitution.

Using the unit circle definition of sin, cos and tan, to calculate the exact value of trig functions evaluated at angles that depend on 0, 30, 45, 60 or 90 degrees.

Questions on manipulating logarithms.

Questions on powers, the laws of indices, and exponential growth.

Calculations and graphs involving measurements of speed.

Calculations involving elementary probability, and several questions designed to draw out misconceptions to do with probability.

Content: complex arithmetic; argument and modulus of complex numbers; de Moivre's theorem.

This homework counts 10% towards your final Engineering Mathematics mark.

Quiz covering basic arithmetic with complex numbers and solving roots for a quadratic with complex solutions

This quiz poses questions on basic probability and statistics.

Some basic tasks involving vectors, including converting to/from component form, scalar product, resultant vectors.

5 questions on finding local and global maxima and minima on compact intervals and on the real line for differentiable functions.

5 questions on indefinite integration. Includes integration by parts and integration by substitution.

25 questions on solving quadratic equations

5 questions on indefinite integration. Includes integration by parts and integration by substitution.

5 questions on using substitution to find indefinite integrals.

4 questions on integrating by parts.

4 questions on using partial fractions to solve indefinite integrals.

A variety of trigonometric equations which can be solved using inverse operations.

Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

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Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

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Use a given factor of a polynomial to find the full factorisation of the polynomial through long division.

Given a factor of a cubic polynomial, factorise it fully by first dividing by the given factor, then factorising the remaining quadratic.

Apply the factor theorem to check which of a list of linear polynomials are factors of another polynomial.