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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Factorise a quadratic equation where the coefficient of the $x^2$ term is greater than 1 and then write down the roots of the equation

Inverse and division of complex numbers.  Four parts.

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angle between two vectors

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A test of basic concepts to do with SI units and concentrations of solutions.

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Multiplication and addition of complex numbers. Four parts.

Multiplication and addition of complex numbers. Four parts.

Multiplication and addition of complex numbers. Four parts.

A test of basic concepts to do with SI units and concentrations of solutions.

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

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

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

Solve for $x$: $\displaystyle 2\log_{a}(x+b)- \log_{a}(x+c)=d$. 

Make sure that your choice is a solution by substituting back into the equation.

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

5 indefinite integrals containing exponential functions

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Draws a triangle based on 3 side lengths.

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Cos, Sin and Tan

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Find angle and side in a right angled triangle.

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Pythagoras' Theorem and naming sides of right angled triangle

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Converting Degrees to Radians

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Converting Radians to Degrees

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Find the determinant and inverse of three $2 \times 2$ invertible matrices.

Inverse and division of complex numbers.  Four parts.

Multiplication and addition of complex numbers. Four parts.