There are two maths modules you can do in first year. If you got a B at A-level or higher, you'll probably do the harder module. Less, and you'll do the (much) easier one and do the hard one in 2nd year.
Contents of the 'easy' module (PHY1115 Mathematical Skills):
1. Algebra
1. Linear equations
2. Quadratic equations
2. Trigonometry
3. Binomial Series
4. Differentiation
1. Elementary differentiation
2. Further differentiation
5. Integration
1. Introducing integration
2. Basic integration
3. Techniques of integration
6. Vectors
7. Curve sketching
8. Taylor's Theorem
9. Complex Numbers
1. Introducing complex numbers
2. Polar representation of complex numbers
3. Complex algebra and Demoivre's theorem
10. Hyperbolic Functions
11. Differential Equations
1. Introducing differential equations
2. Solving first order differential equations
3. Solving second order differential equations
12. Advanced Topics
1. Matrices
2. Non-cartesian co-ordinates
Contents of the 'hard' module (PHY1116 Mathematics for Physicists):
1. Basic Algebra and Calculus
1. Series: Taylor and Maclaurin series, expansions of standard functions.
2. Complex numbers: Argand diagram, modulus-argument form, de Moivre's theorem, trigonometric functions, hyperbolic functions, series of sines and cosines.
3. Linear equations and matrices: matrix multiplication, applications to the solution of systems of homogeneous and inhomogeneous linear equations, finding inverse matrices, evaluating numerical determinants, and an introduction to eigenvalues and eigenvectors.
2. Coordinate Systems in 2- and 3-Dimensional Geometries
1. Cartesian, plane-polar, cylindrical and spherical polar coordinate systems.
3. Differential calculus
1. Partial and total derivatives.
2. Multiple integrals: line and surface integrals; application of integration to arc lengths, surface areas, volumes and masses; evaluation of multiple integrals in different coordinate systems and using parametrisation; integration of the Dirac delta function.
4. Vectors and Vector Calculus
1. Grad, div, curl, product rules, gradient as slope.
2. Elementary cases of Stokes's theorem and the divergence theorem.
5. Ordinary differential equations
1. First-order separable and integrating-factor types.
2. Linear second-order equations with constant coefficients; damped harmonic motion.
6. Fourier analysis
1. Fourier series: the concept of orthogonal functions, examples of Fourier series, Fourier series in exponential notation.
2. Fourier transforms: derivation; examples of Fourier transforms, including exponential, 'top hat', the Dirac delta function, and the Gaussian function; the convolution integral and theorem.
PHY1116 is a LOT harder than PHY1115. If you've done further maths, you'll probably do PHY1116.