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| PROGRAMME CATALOGUE |
| UFTMATH016: BSc (hons): Mathematical Sciences with Study Year Abroad |
| |
| Year 1, Semester 1 |
| Mode of Attendance: Full period in University (Undergraduate) |
| |
| MATH0001 | Numbers | 6Credits |
| MATH0002 | Functions, differentiation & analytic geometry | 6Credits |
| MATH0003 | Integration & differential equations | 6Credits |
| MATH0031 | Statistics & probability 1 | 6Credits |
| MATH0126 | Introduction to computing with applications | 6Credits |
| |
| Year 1, Semester 2 |
| |
| COMP0140 | Introduction to programming in Java | 6Credits |
| MATH0004 | Sets & sequences | 6Credits |
| MATH0005 | Matrices & multivariate calculus | 6Credits |
| MATH0006 | Vectors & applications | 6Credits |
| MATH0032 | Statistics & probability 2 | 6Credits |
| |
| Year 2, Semester 1 |
| Mode of Attendance: Full period in University (Undergraduate) |
| |
| MATH0007 | Analysis: Real numbers, real sequences & series | 6Credits |
| MATH0008 | Algebra 1 | 6Credits |
| Optional Units |
| Select 18
credits from the following list: |
| COMP0017 | Systems I: architecture & operating systems | 6 Credits |
| COMP0019 | Computation III: introduction to formal logic & semantics | 6 Credits |
| COMP0167 | Programming III: functional programming | 6 Credits |
| MATH0009 | Ordinary differential equations & control | 6 Credits |
| MATH0010 | Vector calculus & partial differential equations | 6 Credits |
| MATH0033 | Statistical inference 1 | 6 Credits |
| MATH0034 | Probability & random processes | 6 Credits |
| PHYS0002 | Properties of matter | 6 Credits |
| |
| Year 2, Semester 2 |
| |
| MATH0011 | Analysis: Real-valued functions of a real variable | 6Credits |
| MATH0012 | Algebra 2 | 6Credits |
| Optional Units |
| Select 18
credits from the following list: |
| COMP0020 | Computation II: computability & decidability | 6 Credits |
| COMP0138 | Systems II: low-level programming & C | 6 Credits |
| COMP0168 | Programming IV: programming languages | 6 Credits |
| MATH0013 | Mathematical modelling & fluids | 6 Credits |
| MATH0014 | Numerical analysis | 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) |
| |
| MATH0106 | Study year abroad (BSc) | 60Credits |
| |
| Year 4, Semester 1 |
| Mode of Attendance: Full period in University (Undergraduate) |
| Students must take units totalling 30 credits in each semester. The year programme must include at least 5 units from the union of lists A1 and A2, and no more than 18 credits from the union of lists B1 and B2. |
| Optional Units |
| Select between 2 and 5 units from the following
list A1: |
| COMP0072 | Safety-critical computer systems | 6 Credits |
| COMP0073 | Advanced algorithms & complexity | 6 Credits |
| COMP0075 | Advanced computer graphics | 6 Credits |
| COMP0142 | Music & digital signal processing | 6 Credits |
| MATH0037 | Galois theory | 6 Credits |
| MATH0038 | Advanced group theory | 6 Credits |
| MATH0039 | Differential geometry of curves & surfaces | 6 Credits |
| MATH0041 | Metric spaces | 6 Credits |
| MATH0044 | Mathematical methods 1 | 6 Credits |
| MATH0046 | Linear control theory | 6 Credits |
| MATH0047 | Mathematical biology 1 | 6 Credits |
| MATH0051 | Numerical linear algebra | 6 Credits |
| MATH0065 | Viscous fluid mechanics | 6 Credits |
| 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 |
| PHYS0024 | Contemporary physics | 6 Credits |
| PHYS0031 | Simulation techniques | 6 Credits |
| Select between 0 and 12 credits from the following
list B1: |
| COMP0019 | Computation III: introduction to formal logic & semantics | 6 Credits |
| COMP0167 | Programming III: functional programming | 6 Credits |
| MATH0009 | Ordinary differential equations & control | 6 Credits |
| MATH0010 | Vector calculus & partial differential equations | 6 Credits |
| MATH0033 | Statistical inference 1 | 6 Credits |
| MATH0034 | Probability & random processes | 6 Credits |
| Select between 0 and 1 unit from the following list: |
| 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 |
| |
| Year 4, Semester 2 |
| Optional Units |
| Select between 2 and 5 units from the following
list A2: |
| COMP0070 | Computer algebra | 6 Credits |
| COMP0071 | Application of logic | 6 Credits |
| COMP0078 | Networking | 6 Credits |
| COMP0080 | Computer vision | 6 Credits |
| 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 |
| MATH0059 | Mathematical methods 2 | 6 Credits |
| MATH0060 | Nonlinear systems & chaos | 6 Credits |
| MATH0063 | Mathematical biology 2 | 6 Credits |
| MATH0089 | Applied probability & finance | 6 Credits |
| MATH0090 | Multivariate analysis | 6 Credits |
| MATH0091 | Applied statistics | 6 Credits |
| MATH0092 | Statistical inference | 6 Credits |
| MATH0128 | Project | 6 Credits |
| MATH0170 | Numerical solution of PDEs I | 6 Credits |
| MATH0172 | Conjecture & proof | 6 Credits |
| PHYS0029 | Thermodynamics & statistical mechanics | 6 Credits |
| PHYS0030 | Quantum mechanics | 6 Credits |
| Select between 0 and 12 credits from the following
list B2: |
| COMP0001 | Graphics | 6 Credits |
| COMP0028 | Computation IV: Algorithms | 6 Credits |
| COMP0029 | Applications IV: compilers | 6 Credits |
| COMP0168 | Programming IV: programming languages | 6 Credits |
| MATH0013 | Mathematical modelling & fluids | 6 Credits |
| MATH0014 | Numerical analysis | 6 Credits |
| MATH0035 | Statistical inference 2 | 6 Credits |
| MATH0036 | Stochastic processes | 6 Credits |
| Select between 0 and 1 unit from the following list: |
| 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 |