A student selects a card from a deck of 52 and rolls a dice once.

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Multiplication and addition of complex numbers. Four parts.

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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.

rebelmaths

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

rebelmaths

Refresher questions on topics in algebra that students beginning a maths undergraduate course should be familiar with.

Find $\frac{\mathrm{d}y}{\mathrm{d}x}$ by differentiating an implicit equation.

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4 questions on integrating by parts.

5 questions on using substitution to find indefinite integrals.

Implicit differentiation including finding tangents

Find eigenvalues and eigenvectors of a $2 \times 2$ matrix.

5 questions on vectors. Scalar product, angle between vectors, cross product, when are vectors perpendicular, combinations of vectors defined or not.

Find the determinants of three $2 \times 2$ invertible matrices.

Two questions on solving systems of simultaneous equations.

6 questions on standard statistical distributions.

Binomial, Poisson, Normal, Uniform, Exponential.

Find the modulus and argument of complex numbers.

Find the inverses of three $2 \times 2$ invertible matrices.

Three questions on linear combinations and products of matrices.

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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rebelmaths

Basic indefinite integrals, Basic definite integrals, integration by substitution

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rebelmaths

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

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

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