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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Basic indefinite integrals, Basic definite integrals, integration by substitution

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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.

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

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

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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Evaluate $\int_1^{\,m}(ax ^ 2 + b x + c)^2\;dx$, $\int_0^{p}\frac{1}{x+d}\;dx,\;\int_0^\pi x \sin(qx) \;dx$, $\int_0^{r}x ^ {2}e^{t x}\;dx$

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Just showing how to use the stdev function from the stats extension to calculate the standard deviation of a list of numbers.

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Just showing how to use the stdev function from the stats extension to calculate the standard deviation of a list of numbers.

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Basic data structures and maths/stats functionality given.

You can configure the rest.

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

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Given $6$ vectors in $\mathbb{R^4}$ and given that they span $\mathbb{R^4}$ find a  basis.

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Simple probability question. Counting number of occurrences of an event in a sample space with given size and finding the probability of the event.

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