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• MATH6058 Factorising Quadratic Equations with $x^2$ Coefficients of 1

Factorise three quadratic equations of the form $x^2+bx+c$.

The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.

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• Integration revision

Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

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• W2a: Simplifying fractions

Find $\displaystyle \frac{a} {b + \frac{c}{d}}$ as a single fraction in the form $\displaystyle \frac{p}{q}$ for integers $p$ and $q$.

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• Prerequisites - Calculate an expression

Questions testing understanding of the precedence of operators using BIDMAS. That is, they test Brackets, Indices, Division/Multiplication and Addition/Subtraction.

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• IV time needed with a rate change (easier)

Nursing question. IV question. Given volume required, the rate for some hours and then another rate afterwards, how long will it take to get the required volume? Answers are designed to be easy to handle, e.g. full hours, half hours, quarter hours and thirds of an hour.

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• Integration - Area Under a Graph 2

Three graphs are given with areas underneath them shaded. The student is asked to calculate their areas, using integration.  Q1 has a polynomial. Q2 has exponentials and fractional functions. Q3 requires solving a trig equation and integration by parts.

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• Geometry. Right-angled triangle II. All versions

Finding unknown sides/angles in right-angled triangles.  6 different combinations of unknowns are included in this single question. Makes my previous questions redundant

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• Integration by parts

Find $\displaystyle \int x\sin(cx+d)\;dx,\;\;\int x\cos(cx+d)\;dx$ and hence $\displaystyle \int ax\sin(cx+d)+bx\cos(cx+d)\;dx$

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• Differentiation Tutorial

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

From mathcentre.ac.uk

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• Geometry. Right-angled triangle. Lengths given, sin, cos, tan asked for

Lengths in right-angled triangle a provided. sin, cos and tan of angle asked for

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