Programme / Unit Catalogue 2000/01

UFTMATH017: MMath: Mathematics with Study Year Abroad

Year 1, Semester 1
Mode of Attendance: Full period in University (Undergraduate)

Mandatory Units
MATH0001 Numbers      6 Credits
MATH0002 Functions, differentiation & analytic geometry      6 Credits
MATH0003 Integration & differential equations      6 Credits
MATH0031 Statistics & probability 1      6 Credits
MATH0126 Introduction to contemporary computing      6 Credits

Year 1, Semester 2

Mandatory Units
MATH0004 Sets & sequences      6 Credits
MATH0005 Matrices & multivariate calculus      6 Credits
MATH0006 Vectors & applications      6 Credits
MATH0032 Statistics & probability 2      6 Credits
MATH0140 Introduction to programming in Java      6 Credits

Year 2, Semester 1
Mode of Attendance: Full period in University (Undergraduate)

Mandatory Units
MATH0007 Analysis: Real numbers, real sequences & series      6 Credits
MATH0008 Algebra 1      6 Credits

Optional Units
Select 3 units from the following list:
MATH0009 Ordinary differential equations & control      6 Credits
MATH0010 Vector calculus & partial differential equations      6 Credits
MATH0019 Computation III: introduction to formal logic & semantics      6 Credits
MATH0027 Object-oriented mechanisms      6 Credits
MATH0033 Statistical inference 1      6 Credits
MATH0034 Probability & random processes      6 Credits
MATH0145 Applications II: databases      6 Credits
PHYS0002 Properties of matter      6 Credits

Year 2, Semester 2

Mandatory Units
MATH0011 Analysis: Real-valued functions of a real variable      6 Credits
MATH0012 Algebra 2      6 Credits

Optional Units
Select 3 units from the following list:
MATH0013 Mathematical modelling & fluids      6 Credits
MATH0014 Numerical analysis      6 Credits
MATH0020 Computation II: computability & decidability      6 Credits
MATH0026 Projects & their management      6 Credits
MATH0028 Computation IV: Algorithms      6 Credits
MATH0035 Statistical inference 2      6 Credits
MATH0036 Stochastic processes      6 Credits
PHYS0004 Relativity & astrophysics      6 Credits

Year 3, Academic Year
Mode of Attendance: Study abroad (programme designed)

Mandatory Units
MATH0107 Study year abroad (MMath) 60 Credits

Year 4, Semester 1
Mode of Attendance: Full period in University (Undergraduate)

Students must take 30 credits each semester. The combined programme for years 3 and 4 must include at least 6 units from the union of lists A1 and A2, no more than 42 credits from the union of lists B1 and B2, no more than 2 units from the union of lists C1 and C2 and no more than 12 credits from the union of lists D1 and D2.

Optional Units
Select between 0 and 5 units from the following list A1:
MATH0037 Galois theory      6 Credits
MATH0038 Advanced group theory      6 Credits
MATH0040 Algebraic topology      6 Credits
MATH0041 Metric spaces      6 Credits
MATH0042 Measure theory & integration      6 Credits
MATH0043 Real & abstract analysis      6 Credits
MATH0044 Mathematical methods 1      6 Credits
MATH0045 Dynamical systems      6 Credits
MATH0046 Linear control theory      6 Credits
MATH0047 Mathematical biology 1      6 Credits
MATH0048 Analytical & geometric theory of differential equations      6 Credits
MATH0050 Nonlinear equations & bifurcations      6 Credits
MATH0051 Numerical linear algebra      6 Credits
MATH0065 Viscous fluid mechanics      6 Credits
MATH0117 Project (MMath)      6 Credits
PHYS0024 Contemporary physics      6 Credits
PHYS0031 Simulation techniques      6 Credits
Select between 0 and 24 credits from the following list B1:
MATH0072 Safety-critical computer systems      6 Credits
MATH0073 Advanced algorithms & complexity      6 Credits
MATH0075 Advanced computer graphics      6 Credits
MATH0076 Project preparation      6 Credits
MATH0081 Hardware architecture & compilation      6 Credits
MATH0142 Music & digital signal processing      6 Credits
Select between 0 and 1 unit from the following list C1:
MATH0019 Computation III: introduction to formal logic & semantics      6 Credits
MATH0027 Object-oriented mechanisms      6 Credits
MATH0143 User interface programming      6 Credits
Select between 0 and 6 credits from the following list A1:
ESML0208 Chinese stage 3A (advanced beginners) (     6 credits) 6 Credits
ESML0214 French stage 9A (further advanced) (     6 credits) 6 Credits
ESML0220 French stage 6A (advanced intermediate) (     6 credits) 6 Credits
ESML0226 German stage 3A (advanced beginners) (     6 credits) 6 Credits
ESML0238 German stage 6A (advanced intermediate) (     6 credits) 6 Credits
ESML0244 Italian stage 3A (advanced beginners) (     6 credits) 6 Credits
ESML0262 Spanish stage 6A (advanced intermediate) (     6 credits) 6 Credits
XXXX0001 Any other units approved by the Director of Studies      6 Credits
Select between 0 and 5 units from the following list:
MATH0084 Linear models      6 Credits
MATH0085 Time series      6 Credits
MATH0086 Medical statistics      6 Credits
MATH0087 Optimisation methods of operational research      6 Credits
MATH0125 Markov processes & applications      6 Credits

Year 4, Semester 2

Optional Units
Select between 0 and 5 units from the following list A2:
MATH0049 Linear elasticity      6 Credits
MATH0053 Algebraic number theory      6 Credits
MATH0054 Representation theory of finite groups      6 Credits
MATH0055 Introduction to topology      6 Credits
MATH0056 Complex analysis      6 Credits
MATH0057 Functional analysis      6 Credits
MATH0058 Martingale theory      6 Credits
MATH0059 Mathematical methods 2      6 Credits
MATH0061 Nonlinear & optimal control theory      6 Credits
MATH0062 Ordinary differential equations      6 Credits
MATH0063 Mathematical biology 2      6 Credits
MATH0067 Numerical solution of boundary-value problems      6 Credits
MATH0068 Finite difference methods for evolutionary problems      6 Credits
PHYS0029 Thermodynamics & statistical mechanics      6 Credits
PHYS0030 Quantum mechanics      6 Credits
Select between 0 and 24 credits from the following list B2:
MATH0069 Programming language implementation techniques      6 Credits
MATH0070 Computer algebra      6 Credits
MATH0071 Application of logic      6 Credits
MATH0078 Networking      6 Credits
MATH0080 Computer vision      6 Credits
MATH0082 Double module project      12 Credits
MATH0141 Advanced human computer interaction      6 Credits
Select between 0 and 1 unit from the following list C2:
MATH0020 Computation II: computability & decidability      6 Credits
MATH0028 Computation IV: Algorithms      6 Credits
Select between 0 and 6 credits from the following list D2:
ESML0209 Chinese stage 3B (     6 credits) 6 Credits
ESML0215 French stage 9B (     6 credits) 6 Credits
ESML0221 French stage 6B (     6 credits) 6 Credits
ESML0227 German stage 3B (     6 credits) 6 Credits
ESML0239 German stage 6B (     6 credits) 6 Credits
ESML0245 Italian stage 3B (     6 credits) 6 Credits
ESML0263 Spanish stage 6B (     6 credits) 6 Credits
XXXX0001 Any other units approved by the Director of Studies      6 Credits
Select between 0 and 4 units from the following list:
MATH0089 Applied probability & finance      6 Credits
MATH0090 Multivariate analysis      6 Credits
MATH0091 Applied statistics      6 Credits
MATH0092 Statistical inference      6 Credits

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