UFTMATH007: BSc (hons): Mathematical Sciences



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

MATH0023 C Programming      6 Credits

MATH0032 Statistics & probability 2      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      18 credits from the following list:

MATH0009 Ordinary differential equations & control      6 Credits

MATH0010 Vector calculus & partial differential equations      6 Credits

MATH0019 Foundations      6 Credits

MATH0020 Computability & decidability      6 Credits

MATH0022 Formal program development      6 Credits

MATH0033 Statistical inference 1      6 Credits

MATH0034 Probability & random processes      6 Credits

MATH0129 Programming laboratory A      3 Credits

MATH0131 History of computing and its industry 1      3 Credits

MATH0132 Databases / graphics      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      18 credits from the following list:

MATH0013 Mathematical modelling & fluids      6 Credits

MATH0014 Numerical analysis      6 Credits

MATH0026 Projects & their management      6 Credits

MATH0027 Object-oriented mechanisms      6 Credits

MATH0028 Algorithms      6 Credits

MATH0029 Compilers      6 Credits

MATH0030 History of computing and its industry 2      3 Credits

MATH0035 Statistical inference 2      6 Credits

MATH0036 Stochastic processes      6 Credits

MATH0130 Programming laboratory B      3 Credits

PHYS0004 Relativity & astrophysics      6 Credits




Year 3, 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:

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

MATH0072 Safety-critical computer systems      6 Credits

MATH0073 Advanced algorithms & complexity      6 Credits

MATH0075 Advanced computer graphics      6 Credits

MATH0079 Computer speech processing      6 Credits

MATH0081 Hardware architecture & compilation      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

MATH0088 Data collection      6 Credits

MATH0089 Applied probability & finance      6 Credits

PHYS0024 Contemporary physics      6 Credits

Select between 0 and 12 credits from the following list B1:

MATH0009 Ordinary differential equations & control      6 Credits

MATH0010 Vector calculus & partial differential equations      6 Credits

MATH0019 Foundations      6 Credits

MATH0020 Computability & decidability      6 Credits

MATH0022 Formal program development      6 Credits

MATH0033 Statistical inference 1      6 Credits

MATH0034 Probability & random processes      6 Credits

MATH0129 Programming laboratory A      3 Credits

MATH0131 History of computing and its industry 1      3 Credits

MATH0132 Databases / graphics      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 3, Semester 2


Optional Units

Select between 2 and 5 units from the following list A2:

MATH0049 Linear elasticity      6 Credits

MATH0052 Algebra & combinatorics      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

MATH0066 Numerical solution of partial differential equations      6 Credits

MATH0069 Programming language implementation techniques      6 Credits

MATH0070 Computer algebra      6 Credits

MATH0071 Application of logic      6 Credits

MATH0074 Concurrent computation      6 Credits

MATH0078 Networking      6 Credits

MATH0080 Computer vision      6 Credits

MATH0090 Multivariate analysis      6 Credits

MATH0091 Applied statistics      6 Credits

MATH0092 Statistical inference      6 Credits

MATH0125 Markov processes & applications      6 Credits

MATH0128 Project      6 Credits

PHYS0029 Thermodynamics & statistical mechanics      6 Credits

PHYS0030 Quantum mechanics      6 Credits

PHYS0031 Simulation techniques      6 Credits

Select between 0 and 12 credits from the following list B2:

MATH0013 Mathematical modelling & fluids      6 Credits

MATH0014 Numerical analysis      6 Credits

MATH0026 Projects & their management      6 Credits

MATH0027 Object-oriented mechanisms      6 Credits

MATH0028 Algorithms      6 Credits

MATH0029 Compilers      6 Credits

MATH0030 History of computing and its industry 2      3 Credits

MATH0035 Statistical inference 2      6 Credits

MATH0036 Stochastic processes      6 Credits

MATH0130 Programming laboratory B      3 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



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[University of Bath]