Content created by Newcastle University

Approximate the integral of a function by Riemann sums.

Some more questions on set theory - covering set builder notation, cartesian products, complements.

Statistics and probability. Practice exam, one-way Anova for PSY2010.

Questions about logical predicates, and basic set theory concepts.

Practice questions on these topics.

Questions on matrix arithmetic.

Statistics and probability. One question on multiple and partial correlation.

Questions about the limits of sequences from a first year pure maths course.

Solve a linear programming problem, and perform sensitivity analysis.

Find the first few terms of the Maclaurin and Taylor series of given functions.

Find an integral by choosing a suitable substitution.

Find the integral of an improper fraction.

Questions which rely on knowledge of standard integrals.

Determine the optimal frequency and size of orders given information about demand and prices.

Apply the Kruskal-Wallis test on some data to determine if a measurement differs between groups.

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

Integrate various functions by rewriting them as partial fractions.

Integrate the product of two functions by the method of integration by parts.

Use the quotient rule to differentiate various functions.

Questions on Pearson and Spearman correlation coefficients.

For given optimisation problems, determine maximin, maximax, and minimax regret actions, expected value criteria, expected value of perfect information.

Questions on differentiation from first principles, and continuity and differentiability.

Use the chain rule to differentiate various functions.

Use the product rule to differentiate various functions.

Use the Hungarian algorithm to find the optimal assignment of workers to tasks.

Questions on the least upper bounds and greatest lower bounds of sets of the form $\{ f(x) : x \in \mathbb{Z} \text{ or } \mathbb{R} \}$.