Maria Aneiros

This question concerns the evaluation of the eigenvalues and corresponding eigenvectors of a 2x2 matrix.

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

Choose which of 5 matrices are in a) row echelon form but not reduced b) reduced row echelon form c) neither.

Elementary Exercises in multiplying matrices. 

aij  notation and definition of the order of a matrix.

Some questions to practice your fundamental skills in vectors.

Some basic tasks involving vectors, including converting to/from component form, scalar product, resultant vectors.

This quiz contains questions on functions, limits, logs, exponential functions, simultaneous equations and quadratic equations.

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

Missing: Application with bacteria, turning points, difficult chain rule

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

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

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

rebelmaths

Use the quotient rule to differentiate various functions.

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

Questions about complex arithmetic; argument and modulus of complex numbers; complex roots of polynomials; de Moivre's theorem.

Use the quotient rule to differentiate various functions.

Use the product rule to differentiate various functions.

Use the chain rule to differentiate various functions.

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

Integrate various functions by rewriting them as partial fractions.

Questions which rely on knowledge of standard integrals.

Find the integral of an improper fraction.

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