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Mathematics and Statistics (MMathStat) (Full-Time, 2019 Entry)

 

MATHEMATICS AND STATISTICS (MMathStat)

Full-time 2019 entry

The demand for mathematical statisticians has expanded so rapidly in recent years that both within and outside the academic world there is a severe shortage of well-qualified people.


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This degree enables you to specialise in both pure mathematics and statistics. It offers flexibility and a wide choice of options in Computing, Operational Research and all the other topics available to Mathematics students.

The BSc and MMathStat are the same for the first two years of study, making it easy to reconsider your preference into the second year. Differences become apparent in the final years, with the MMathStat degree offering a supervised research project and the possibility to specialise in areas such as advanced statistics, biostatistics, computational statistics, actuarial and financial mathematics, and probability.

You will learn through a combination of lectures, small-group tutorials and practical sessions based in the Department's well-equipped undergraduate computing laboratory. A central part of learning in Mathematics and Statistics is problem solving. We encourage and guide students in tackling a variety of theoretical exercises and computing tasks.

Core first and second-year modules covering probability, sets, mathematical statistics, linear algebra and modelling build a solid foundation of essential mathematical and statistical knowledge and skills. You’ll also have flexibility to choose some options. In your third year, you will select half of your modules from Statistics and half from further options available in Statistics, Mathematics and other selected Departments.

The curriculum is divided up into modules consisting of lectures and assessments, which are often supplemented by smaller group teaching such as tutorials, supervisions and computer labs.

Homework assignments are often biweekly and the expectation is that students work hard trying to tackle problems covering a range of levels of difficulty.

Contact hours

Contact time is around 15 hours a week.

Class size

Class sizes for core modules is around 180 students while size of classes for optional modules varies. Support classes usually consist of 15 students.

You will be assessed by a combination of closed and open-book examinations, continuous assessment and project work, depending on your options. The first year counts 10%, the second year 30% and the third year 60% towards the final BSc degree mark.

We support student mobility through study abroad programmes and all students have the opportunity to apply for an intercalated year abroad at one of our partner universities. The Study Abroad Team based in the Office for Global Engagement offers support for these activities, and the Department's dedicated Study Abroad Co-ordinator can provide more specific information and assistance.

You may additionally choose to spend an ‘intercalated’ year in an approved industry, business or university between your last two years at Warwick.

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A level: A*AA to include A* in Mathematics and A in Further Mathematics

OR A*A*A + AS level A to include A* in Mathematics and A in AS level Further Mathematics

OR A*A*A* to include Mathematics OR AAA +2 in STEP or Merit in AEA to include Mathematics

IB: 38 to include 7 in Higher Level Mathematics

You will also need to meet our English Language requirements.

  • Contextual data and differential offers: Warwick may make differential offers to students in a number of circumstances. These include students participating in the Realising Opportunities programme, or who meet two of the contextual data criteria. Differential offers will be one or two grades below Warwick’s standard offer (to a minimum of BBB).
  • Access Courses: Access to HE Diploma (QAA-recognised) including appropriate subjects with distinction grades in all level 3 units, and Mathematics grade A* at A level or equivalent.
  • Warwick International Foundation Programme (IFP) All students who successfully complete the Warwick IFP and apply to Warwick through UCAS will receive a guaranteed conditional offer for a related undergraduate programme (selected courses only). For full details of standard offers and conditions visit the IFP website.
  • We welcome applications from students with other internationally recognised qualifications. For more information please visit the international entry requirements page.
  • Taking a gap year Applications for deferred entry welcomed.

    Interviews We do not typically interview applicants. Offers are made based on your UCAS form which includes predicted and actual grades, your personal statement and school reference.

    Open Days All students who have been offered a place are invited to visit. Find out more about our main University Open Days and other opportunities to visit us.

Year 1
Linear Algebra

Linear algebra addresses simultaneous linear equations. You will learn about the properties of vector space, linear mapping and its representation by a matrix. Applications include solving simultaneous linear equations, properties of vectors and matrices, properties of determinants and ways of calculating them. You will learn to define and calculate eigenvalues and eigenvectors of a linear map or matrix. You will have an understanding of matrices and vector spaces for later modules to build on.


Mathematical Analysis

Analysis is the rigorous study of calculus. In this module there will be considerable emphasis throughout on the need to argue with much greater precision and care than you had to at school. With the support of your fellow students, lecturers and other helpers, you will be encouraged to move on from the situation where the teacher shows you how to solve each kind of problem, to the point where you can develop your own methods for solving problems. By the end of the year you will be able to answer interesting questions like, what do we mean by `infinity'?


Sets and Numbers

It is in its proofs that the strength and richness of mathematics is to be found. University mathematics introduces progressively more abstract ideas and structures, and demands more in the way of proof, until most of your time is occupied with understanding proofs and creating your own. Learning to deal with abstraction and with proofs takes time. This module will bridge the gap between school and university mathematics, taking you from concrete techniques where the emphasis is on calculation, and gradually moving towards abstraction and proof.


Statistical Laboratory 1

If you’re studying ST115 (Introduction to Probability) or ST111/2 (Probability), this course supports your understanding of statistical analysis. You’ll lay foundations for applying mathematical probability, and learn to calculate using probabilities and expectations. You’ll become familiar with the R software package for exploratory data analysis, and gain experience of elementary simulation techniques on real data, and, using visualisations, be able to propose probabilistic models for simple data sets. You’ll also cover sampling technique (standard discrete and continuous distributions – Bernoulli, geometric, Poisson, Gaussian and gamma) and learn generic sampling methods for univariate distributions, preparing you to move on to ST221 (Linear Statistical Modelling).


Introduction to Probability

Following modules MA137 and MA138, this builds your knowledge by introducing key notions of probability and developing your ability to calculate using probabilities and expectations. You’ll experiment with random outcomes through the notion of events and their probability, and look at examples of discrete and continuous probability spaces. You’ll learn counting methods (inclusion–exclusion formula and binomial co-efficients), and study theoretical topics including conditional probability and Bayes’ Theorem. Later, you’ll scrutinise important families of distributions and the distribution of random variables, and the light this shines on the properties of expectations. Finally, you’ll examine mean, variance and co-variance of distribution, through Chebyshev's and Cauchy-Schwartz inequalities.


Mathematical Techniques

Want to think like a mathematician? This practical, problem-solving module is for you. Building on your A-level knowledge, you’ll develop a deeper understanding of mathematical concepts and relations, using problem-solving techniques such as visualisation and pattern exploration. Using concrete examples from counting, combinatorics, calculus, geometry and inequalities, you will learn to express mathematical concepts clearly and precisely and enhance your mathematical and logical reasoning and communication skills. By the end of the module, you’ll be able to comprehend, construct, visualise and present a coherent mathematical argument.


Year 2
Norms, Metrics and Topologies

Analysis III

In this module, you will learn methods to prove that every continuous function can be integrated, and prove the fundamental theorem of calculus. You will discuss how integration can be applied to define some of the basic functions of analysis and to establish their fundamental properties. You will develop a working knowledge of the construction of the integral of regulated functions, study the continuity, differentiability and integral of the limit of a uniformly convergent sequence of functions, and use the concept of norm in a vector space to discuss convergence and continuity there. This will equip you with a working knowledge of the construction of the integral of regulated function.


Stochastic Processes

The concept of a stochastic (developing randomly over time) process is a useful and surprisingly beautiful mathematical tool in economics, biology, psychology and operations research. In studying the ideas governing sequential stochastic processes, you’ll learn about Markov chains, which use conditional probability for a widely applicable family of random processes; random walks – the building blocks for constructing other processes as well as being important in their own right – and renewal theory, for processes that ‘begin all over again’. Your understanding will extend to notions of behaviour, including transience, recurrence and equilibrium, and you will apply these ideas to problems in probability theory.


Mathematical Methods

Following the algebraic modules MA106 and MA137, you’ll gain expertise in the everyday techniques of probability and statistics essential to your continued study. You’ll gain a grounding in optimisation, convergence, regression and best approximation. By the end of your course, expect to apply multivariate calculus (integration, calculation of under-surface volumes, variable formulae and Fubini’s Theorem) and to use partial derivatives, critical points and extrema, and to understand constrained optimisation. You’ll work on eigenvalues and eigenvectors, diagonalisation, characteristic polynomials, constant co-efficient differential equations, and orthogonal bases and orthonormalisation. You’ll also study convergence and continuity in metric spaces to advance your mathematical thinking.


Mathematical Statistics Part A

If you have already completed ST115, on this module, you’ll have the opportunity to acquire the knowledge you need to study more advanced topics in probability. You’ll study discrete, continuous and multivariate distributions in greater depth, and also learn about Jacobian transformation formula, conditional and multivariate Gaussian distributions, and the related distributions Chi-squared, Student’s and Fisher. In the second part, you’ll move on to more advanced topics, including moment-generating functions for random variables, convergence, and the Law of Large Number and the Central Limit Theorem.


Mathematical Statistics Part B

If you’ve completed Part A, this second-term module is your next step, where you’ll study the major ideas behind statistical inference, with an emphasis on likelihood methods of estimation, repeated sampling, and testing. You’ll learn to apply important models (such as the parametrised statistical model), hypothesis tests, linear models, estimators, and the Chi-squared goodness of fit. You’ll spend time calculating sampling distributions (Fisher’s theorem), and confidence intervals, and understand the principles of data reduction, point estimation and the notion of sufficient statistics. You’ll also become familiar with asymptotic normality and contingency tables, giving you a very firm foundation for your future engagement in advanced mathematical statistics.


Linear Statistical Modelling

If you’re taking modules ST115 ST218 or ST219, you’ll benefit from the study of statistical modelling on this course. Starting with an introduction to R software, you’ll learn to use this for modelling, specifically linear models, in a variety of different scenarios. You’ll scrutinise simple linear regression and distributions of estimators and residuals, before moving to multiple and polynomial regression, and learning how the study of residuals can inform your choice of model. You’ll also become acquainted with various ANOVA models and how R software can code and interpret them. Finally, you’ll gain a basic understanding of linear models for time series and frequency data.


Years 3 and 4

You will select half of your modules from Statistics and half from further options available in Statistics, Mathematics and other selected departments.


Selection of optional modules that current students are studying

Design of Information Structures; Introduction to Quantitative Economics; Geometry and Motion; Introduction to Abstract Algebra; Introduction to Astronomy; Games, Decisions and Behaviour; Programming for Scientists; Foundations of Finance.

Graduates from the Department of Statistics enter a diverse range of careers. Many opt to work within the Financial Services sector with the Actuarial, Accounting and Investment Banking opportunities being particular favourites. These roles often involve the study for professional qualifications such as ACA, CIMA, CFA and the actuarial examinations. Other frequent career choices include e- Commerce, Business and Industrial Consultancy, Operational Research, Marketing, Scientific Research, and Government.

Statistics graduates develop a strong range of transferable skills including excellent numerical, problem-solving and analytical abilities. These along with your ability to communicate complex ideas effectively are highly sought after by employers.

A number of students decide to continue in academia, studying for either a Statistics related Masters or PhD. Alternative study routes have included the study of Management Science & Operational Research or the PGCE teaching qualification.

Gold

"My goal is to pursue a challenging, rewarding, high impact career."

"I joined Warwick because it was progressive, with a very inclusive community. Mathematics offered a wider range of modules than other universities, with opportunities to study across many disciplines.

My advice for any potential applicants would be to exploit the fact that Maths is the cornerstone for half of the disciplines across the University. You should also engage with people outside the Maths department and gain important skills in the various societies on offer.

I knew I ultimately wanted to work in the public or charity sector, and the careers department gave me support in determining the necessary skills. As soon as I graduated, I felt prepared to take my place on the Civil Service Fast Stream."

Alexander Brush - Civil Service Fast Streamer (Finance)

Studied 'Mathematics' - Graduated 2016

A level: A*AA to include A* in Mathematics and A in Further Mathematics

OR A*A*A + AS level A to include A* in Mathematics and A in AS level Further Mathematics

OR A*A*A* to include Mathematics OR AAA +2 in STEP or Merit in AEA to include Mathematics

IB: 38 to include 7 in Higher Level Mathematics

UCAS Code
GGC3

Award
Degree of Master of Mathematics and Statistics (MMathStat)

Duration
4 years full time

Start Date

24 September 2019

Location of study
University of Warwick, Coventry

Tuition fees
Find out more about fees and funding

Additional costs

The additional costs of study in the Statistics Department are minor: printing, calculators and books and, in a few optional modules, printed notes, which are provided by the actuarial profession.

This information is applicable for 2019 entry.

Given the interval between the publication of courses and enrolment, some of the information may change. It is important to check our website before you apply. Please read our terms and conditions to find out more.