Mathematics at War wick The department Courses, modules, teaching and assessment Afterlife and closing remarks 1 1

Reputation Warwick Mathematics research rated “World-Leading” in RAE 2008. Pure Mathematics was ranked 2nd in the UK (Imperial College was top) and Applied Mathematics ranked equal first for the proportion of its research given the top 4* “world-leading” rating. Consistently awarded the top grades in the Research Assessment Exercises of the past 17 years by HEFCE. Graded excellent in 2000 Teaching Quality assessment by the QAA, with high praise for supervision, the tutorial system, progression rates and course flexibility. 2 2

The Mathematics department A modern building, opened in December 2003. Staff: about 60 permanent staff (28 professors) plus about 25 other lecturers and research staff. Graduate students: approximately 100. Our graduates provide an important part of UG teaching; supervisions involve 5 UGs and a graduate. Undergraduates: approximately 1000 over 4 years. 3 3

Teaching Methods Lectures: 3 hrs per week for each module. A typical load is five full modules in each of Terms 1 and 2; one or two half modules in Term 3. Supervisions: 2 hrs per week in first year, less in later years. Examples classes: Examples classes for third and fourth year courses. Subject based. Tutorials: Each student has a Personal Tutor. Frequent meetings in first year, later according to student’s needs. 4 4

Modules: Algebra Year 1, Term 1: Foundations, Vectors and Matrices Year 1, Term 2: Linear Algebra Year 2: Algebra I, Algebra II, Number Theory (optional) Year 3: (all optional) Algebraic Number Theory, Rings and Modules, Commutative Algebra, Groups and Representations, Galois Theory. Year 4: (all optional) Lie Groups, Lie Algebras, Representation Theory, Commutative Algebra, Geometric Group Theory, Elliptic Curves. 5 5

Modules: Analysis Year 1, Term 1: Analysis I Year 1, Term 2: Analysis II Year 2: Analysis III, Differentiation Year 3: (all optional) Functional Analysis I, Functional Analysis II, Complex Analysis, Measure Theory, PDEs. Year 4: (all optional) Fourier Analysis, Dynamical Systems, Ergodic Theory, Stochastic Analysis, Advanced PDEs. 6 6

Modules: Geometry and Topology Year 1, Term 1: Introduction to Geometry. Year 1, Term 2: Geometry and Motion. Year 2: (all optional) Geometry, Metric Spaces. Year 3: (all optional) Introduction to Topology, Fractal Geometry, Knot Theory. Year 4: (all optional) Algebraic Geometry, Differential Geometry, Hyperbolic Geometry, Riemann Surfaces, Manifolds, Algebraic Topology. 7 7

Modules: Applied Maths Year 1, Term 1: Differential Equations. Year 1, Term 2: Geometry and Motion. Year 2: Vector Analysis, Partial Differential Equations, Numerical Analysis (optional), Modelling Nature’s Nonlinearity (optional), Variational Principles (optional), Introduction to Mathematical Biology (optional). 8 8

Modules: Applied Maths (cont) Year 3: (all optional) Qualitative Theory of ODEs, Topics in Mathematical Biology, Matrix Analysis and Algorithms, Theory of PDEs, Fluid Dynamics, Numerical Analysis and PDEs. Year 4: (all optional) Advanced PDEs, Quantum Mechanics, Asymptotic Methods, Calculus of Variations, Introduction to Theoretical Neuroscience, Computational Linear Algebra and Optimization, Interacting Particle Systems. 9 9

Modules: Other Year 1: Probability A, Probability B, Programming for Scientists, Mathematics by Computer, Experimental Mathematics. Year 2: Combinatorics, Mathematical Excursions, Combinatorial Optimisation, Second Year Essay. Year 3: Reading Module, History of Mathematics, Probability and Discrete Mathematics, Third Year Essay. Year 4: Reading Module, Fourth Year Project. 10 10

Mathematics load (BSc) 1st year: consists mostly of core modules covering essentials. 8 core modules must be taken, 75% of a normal load. 2nd year: 5 core modules, plus essay; 55% of normal load. 3rd year: must be 50% maths (no core). Remaining modules can all be mathematics options; however there is tremendous flexibility to take options in other subjects on any of our degrees. You can also take extra modules (higher load) and get credit. For MMath students the Maths load is 75% in each year. Many of the 4th/MSc year modules approach the research front in their area. 11 11

SUBJECT OPTIONS Typically options are taken from: Maths (Pure and Applied), Statistics, Physics, Computer Science, Economics, Education, Business, Languages, Philosophy, Engineering, Film studies, Psychology, Politics .… Effectively any module can be taken provided you satisfy its prerequisites. Consult the prospectus for more detail on the course structure, or see http://www.maths.warwick.ac.uk/pydc/index.html . 12 12

Degree courses in maths and related subjects Degrees run by the Mathematics Department: Mathematics BSc (3 years) Master of Mathematics (4 years) Mathematics and Philosophy (joint degree, 3 years) Mathematics and Business Studies (joint degree, 3 years) Mathematics and Economics (joint degree, 3 years) Entry requirement is the same for all these courses; see the mathematics department standard offer. 13 13

Run by the Statistics Department: MORSE: Mathematics, Operational Research, Statistics and Economics. (3/4 years) Mathematics and Statistics (3/4 years) Run by the Physics Department: Mathematics and Physics (3/4 years) Run by the Computer Science Department: Discrete Mathematics (3 years) The entry requirement is set by the relevant department, i.e. apply to Stats, Phys or Comp Sci for these course. 14 14

Degree course transfers Transfer between the Mathematics department degrees is routine until the end of the first year subject to the appropriate non-mathematics options having been successfully taken. Maths content of the first year covers principally core material and is similar for all degrees. Transfer between degrees from different departments, e.g. Mathematics to Mathematics and Statistics may also be possible, provided appropriate entrance requirements are met if transfer is early, or at the end of the first year provided appropriate options have been taken. Exam performance is also taken into account. Transfer to 4 yr MMATH limited by LEA funding after 1st year. 15 15

Options on our degrees Study abroad Study in Europe for a year at one of 23 universities with whom we have established links (Erasmus programme). This year does not count towards the degree for Bsc (Maths) with Intercalated Year, (but does for MMath with Study in Europe). Note: no fees for year abroad. Intercalated Year in relevant employment Note: Intercalated year / year abroad arranged in 2nd year. 16 16

2011 Entry Requirement for degrees run by the Mathematics Institute is: All A-Level applicants must sit a Mathematics STEP paper (I, II or III) or Advanced Extension Award (AEA) A*(M), A*(FM), A, 2 or A*(M), A(FM), A, 1. M and FM mean A2 Maths and Further Maths. 1 and 2 mean grades in a STEP paper (with Distinction in AEA Maths accepted in place of 2). We strongly prefer FP or M units in Further Mathematics. If you are only able to take AS FM, are predicted A*(M)a(FM)AA and have 4 A*’s at GCSE, we would make the offer A*(M),a(FM),A,A, 1, 2, but we expect very few people will achieve this. 17 17

Make sure you read our STEP/AEA guide. Benefits of STEP and/or AEA These papers provide valuable exposure to problem solving and are excellent training for University Mathematics. 3 hour papers, twice as long as A level papers. AEA is based on core Mathematics modules. STEP offers selection from pure/mechanics/statistics. Make sure you read our STEP/AEA guide. 18 18

Our Intake Our intake for 2010 overshot our Home/EU target of 240. We also took about 30 OS students. Average UCAS tariff: 540 (570 Cambridge, 550 Oxford) Last year 1851 Home/EU students applied. Of these 1767 were made an offer. 715 accepted it as first choice and another 176 held us as insurance. Home/EU target intake for 2011 is 240. The offer is higher and only made if predicted at least A(M)A(FM)B. 19 19

Careers and Further Study Job prospects: Employers rate the University and the course highly. Over 95% of Warwick Mathematics graduates are employed, or in postgraduate studies, by the end of the year in which they graduate. High starting salaries. Higher degrees: many proceed to higher degrees such as the M.Sc., Ph.D. or MBA at top institutions, including M.I.T., Cambridge, Oxford, Imperial College - and Warwick! We have a very good careers centre running activities all year, e.g. the milk round. 20 20

Look at http://www.maths.warwick.ac.uk/pydc/white/skills.html Employers like the ability to think clearly, precisely and independently. Many mathematical skills (e.g. problem solving, complex reasoning skills, etc.) are highly valued. A mathematics degree teaches many sought-after skills such as computing and even communication skills. Look at http://www.maths.warwick.ac.uk/pydc/white/skills.html Typical areas include Accountancy, Actuarial, Banking, Finance, Teaching, Computing, Industry (particularly Industrial Mathematics, Industrial R & D), Management, Operational Research, Publishing, Scientific Writing, Academic. 21 21

Examples of employers of past graduates (based on alumni 2005-2007) High numbers (1-2%): Deloitte & Touche, KPMG, Mercer, Ernst & Young, IBM, Pricewaterhouse Coopers, Watson Wyatt, Univ of Warwick. Medium numbers (0.5%): UBS, Deutsche Bank, Hewitt Associates, BAE, British Airways PLC, BT, Friends Provident, HSBC, MoD, Norwich Union, Nottingham County Council, Univ of Cambridge. Approximately 3% of alumni have salaries over £100,000 pa 22 22

Reasons to come to Warwick Excellent Mathematics Degree programmes. Flexibility in course composition, ease of transfer between degrees. Warwick atmosphere, social life etc. Recommendation: Apply for 4yr MMATH unless you have a preference for a joint degree. 23 23

Reasons NOT to come to Warwick You only want the social life. Our degrees are hard work, but interesting and fun! Warwick atmosphere may not suit you. Visit other universities. 24 24

We hope you enjoy your day at Warwick. You may now talk to academic staff or students in the staff common room where refreshments are being served. Thank you for taking the time to visit us. 25 25