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2019/20 Undergraduate Programme Catalogue

MMath, BSc Mathematics and Statistics

Programme code:MMBS-MA&STUCAS code:GG1H
Duration:4 Years Method of Attendance: Full Time
Programme manager:Dr A. Baczkowski Contact address:a.j.baczkowski@leeds.ac.uk

Total credits: 480

Entry requirements:

Typical offer is AAA with an A in Mathematics or A*AB with an A* in Mathematics. Other alternative offers are available.

School/Unit responsible for the parenting of students and programme:

Examination board through which the programme will be considered:

Relevant QAA Subject Benchmark Groups:

Programme specification:

The programme will aim to:
- introduce students to the major branches of mathematics and statistics;
- meet the needs of students with varied mathematical and statistical backgrounds and with different aspirations within mathematics and statistics;
- enable the student to appreciate the coherence, logical structure, and broad applicability of mathematics and statistics;
- impart an awareness of the values of research and scholarship in mathematics and statistics;
- accustom students to the use of tools, including libraries and computers, that are available to mathematicians and statisticians;
- provide a thorough training in the intellectual skills and advanced techniques of modern mathematics and statistics;
- develop the ability of students to abstract and generalize, to model various phenomena, and to interpret numerical data;
- enable future mathematicians and statisticians to develop the skills associated with problem solving, rigorous argument and communication;
- educate new mathematicians and statisticians to meet the needs of employers, including those in industry, finance, education and the public services;
- broaden and deepen the mathematical and statistical background of students;
- prepare students to work in fields where specific and broadly based advanced mathematical and statistical knowledge is required;
- enable students to embark on research in some area of mathematics and statistics;
- give students the opportunity to experience a wide and deep mathematics and statistics curriculum;
- give students the chance to undertake a substantial project.




Year1 - View timetable

[Learning Outcomes, Transferable (Key) Skills, Assessment]

Students must enrol on exactly 120 or 125 credits in the academic year.

Compulsory modules:

Students will be required to take the following compulsory modules.

MATH1010Mathematics 125 creditsSemester 1 (Sep to Jan)
MATH1012Mathematics 225 creditsSemester 2 (Jan to Jun)
MATH1025Number Systems15 creditsSemester 1 (Sep to Jan)
MATH1026Sets, Sequences and Series15 creditsSemester 2 (Jan to Jun)
MATH1710Probability and Statistics I10 creditsSemester 1 (Sep to Jan)
MATH1712Probability and Statistics II10 creditsSemester 2 (Jan to Jun)

Optional modules:

Candidates may take up to 25 credits from the optional modules below, or Discovery modules, or a combination of the two:

MATH1225Introduction to Geometry10 creditsSemester 1 (Sep to Jan)
MATH1510Financial Mathematics 115 creditsSemester 2 (Jan to Jun)

In all cases the choice of modules is subject to the approval of the Programme Manager.

Discovery modules:

Students may study up to 20 credits of level 1 discovery modules. Choices are subject to approval of the Programme Manager.


Year2 - View timetable

[Learning Outcomes, Transferable (Key) Skills, Assessment]

Students must enrol on exactly 120 or 125 credits in the academic year.

Students must achieve an average of at least 58 (on the 0 to 100 scale) in their second year to progress to the third year of the MMath, BSc programme. Students with lower averages normally have to switch to the BSc programme.

In order to progress to Year 3 of the programme, in addition to the usual requirements candidates need to pass MATH2715 or MATH2735.

Compulsory modules:

Students must take the following compulsory modules:

MATH2017Real Analysis15 creditsSemester 2 (Jan to Jun)
MATH2022Groups and Vector Spaces15 creditsSemester 1 (Sep to Jan)
MATH2365Vector Calculus15 creditsSemester 1 (Sep to Jan)
MATH2375Linear Differential Equations and Transforms15 creditsSemester 2 (Jan to Jun)
MATH2920Computational Mathematics10 creditsSemester 1 (Sep to Jan)

Optional modules:

Students must choose at least 30 credits from the following list, including at least two of MATH2715, MATH2735 and MATH2750.

List A

MATH2715Statistical Methods10 creditsSemester 1 (Sep to Jan)
MATH2735Statistical Modelling10 creditsSemester 1 (Sep to Jan)
MATH2740Environmental Statistics10 creditsNot running in 201920
MATH2750Introduction to Markov Processes10 creditsSemester 2 (Jan to Jun)
MATH2775Survival Analysis10 creditsSemester 2 (Jan to Jun)

Students can choose further modules from the list below, or from Discovery modules.

List B

EDUC2091School Mathematics10 creditsSemester 2 (Jan to Jun)
MATH2027Rings and Polynomials10 creditsSemester 2 (Jan to Jun)
MATH2041Logic10 creditsSemester 2 (Jan to Jun)
MATH2042Logic with Computation15 creditsSemester 2 (Jan to Jun)
MATH2051Geometry of Curves and Surfaces10 creditsSemester 1 (Sep to Jan)
MATH2230Discrete Mathematics10 creditsSemester 2 (Jan to Jun)
MATH2231Discrete Mathematics with Computation15 creditsSemester 2 (Jan to Jun)
MATH2340The Mathematics of Music10 creditsSemester 1 (Sep to Jan)
MATH2391Nonlinear Differential Equations10 creditsSemester 2 (Jan to Jun)
MATH2530Financial Mathematics 210 creditsSemester 1 (Sep to Jan)
MATH2540Financial Mathematics 310 creditsSemester 2 (Jan to Jun)
MATH2600Numerical Analysis10 creditsSemester 2 (Jan to Jun)
MATH2601Numerical Analysis with Computation15 creditsSemester 2 (Jan to Jun)
MATH2620Fluid Dynamics 110 creditsSemester 2 (Jan to Jun)
MATH2640Introduction to Optimisation10 creditsSemester 1 (Sep to Jan)
MATH2650Calculus of Variations10 creditsSemester 2 (Jan to Jun)
MATH2800Mathematics into Schools10 creditsSemesters 1 & 2 (Sep to Jun)
MATH2900Maths at Work10 creditsSemesters 1 & 2 (Sep to Jun)

!! IMPORTANT !! When choosing options, students must take into account which modules they intend to take in Year 3 and 4 to make sure that they have the necessary prerequisites. Please refer to the information from the Programme Meetings.

Discovery modules:

Depending on the modules chosen from List A and B, students can take up to 20 credits of Discovery modules at level 1 or 2.


Year3 - View timetable

[Learning Outcomes, Transferable (Key) Skills, Assessment]

Students should normally enrol on exactly 120 or 125 credits in each academic year. Students are permitted to enrol for 110 (115) credits in either of the final 2 years of the programme, provided they register for 130 (125) credits in the other year. Over the final 2 years of the programme students can enrol on at most 20 credits of Level 1 and 2 modules.

Over the final 2 years, students have to take at least 120 credits of Level 5M modules, including at least 40 credits of level 5 Mathematics (not Statistics) and at least 40 credits of level 5M Statistics modules.
Students need to have passed at least 100 credits in their penultimate year and have a Year 3 average of at least 50 (on the 0 to 100 scale) to progress to the final year of the programme.

Optional modules:

Student must choose at least 100 credits from Lists A and B with:
- at least 40 credits from List A; if students enrol on MATH3001, they need to enrol on at least 60 credits from List A;
- at least 40 credits from List B.

List A

COMP3910Combinatorial Optimisation10 creditsSemester 2 (Jan to Jun)
COMP3940Graph Algorithms and Complexity Theory10 creditsSemester 1 (Sep to Jan)
COMP5940MGraph Theory: Structure and Algorithms15 creditsSemester 2 (Jan to Jun)
EDUC3060Mathematics Education10 creditsSemester 1 (Sep to Jan), Semester 2 (Jan to Jun)
MATH3001Project in Mathematics20 creditsSemesters 1 & 2 (Sep to Jun)
MATH3015History of Mathematics15 creditsSemester 2 (Jan to Jun)
MATH3017Calculus in the Complex Plane15 creditsSemester 1 (Sep to Jan)
MATH3021Philosophy of Logic and Mathematics20 creditsSemester 2 (Jan to Jun)
MATH3033Graph Theory15 creditsSemester 1 (Sep to Jan)
MATH3044Number Theory15 creditsSemester 2 (Jan to Jun)
MATH3071Groups and Symmetry15 creditsSemester 1 (Sep to Jan)
MATH3104Proof and Computation15 creditsSemester 2 (Jan to Jun)
MATH3113Differential Geometry15 creditsSemester 2 (Jan to Jun)
MATH3120Models and Sets15 creditsSemester 1 (Sep to Jan)
MATH3143Combinatorics15 creditsSemester 2 (Jan to Jun)
MATH3153Coding Theory15 creditsSemester 1 (Sep to Jan)
MATH3195Commutative Rings and Algebraic Geometry15 creditsSemester 2 (Jan to Jun)
MATH3211Metric and Function Spaces15 creditsSemester 1 (Sep to Jan)
MATH3216Hilbert Spaces and Fourier Analysis15 creditsSemester 2 (Jan to Jun)
MATH3225Topology15 creditsSemester 2 (Jan to Jun)
MATH3232Transformation Geometry15 creditsSemester 1 (Sep to Jan)
MATH3355Hamiltonian Systems15 creditsSemester 2 (Jan to Jun)
MATH3365Mathematical Methods15 creditsSemester 1 (Sep to Jan)
MATH3374Linear and Non-Linear Waves15 creditsNot running in 201920
MATH3375Hydrodynamic Stability15 creditsNot running in 201920
MATH3385Quantum Mechanics15 creditsSemester 1 (Sep to Jan)
MATH3396Dynamical Systems15 creditsNot running in 201920
MATH3397Nonlinear Dynamics15 creditsSemester 1 (Sep to Jan)
MATH3414Analytic Solutions of Partial Differential Equations15 creditsSemester 1 (Sep to Jan)
MATH3424Introduction to Entropy in the Physical World15 creditsNot running in 201920
MATH3458Geophysical Fluid Dynamics15 creditsSemester 2 (Jan to Jun)
MATH3474Numerical Methods10 creditsSemester 1 (Sep to Jan)
MATH3475Modern Numerical Methods15 creditsNot running in 201920
MATH3491Discrete Systems and Integrability15 creditsNot running in 201920
MATH3510Actuarial Mathematics 115 creditsSemester 1 (Sep to Jan)
MATH3520Actuarial Mathematics 215 creditsSemester 2 (Jan to Jun)
MATH3532Relativity and Cosmology15 creditsSemester 2 (Jan to Jun)
MATH3565Mathematical Biology15 creditsSemester 1 (Sep to Jan)
MATH3567Evolutionary Modelling15 creditsSemester 2 (Jan to Jun)
MATH3620Fluid Dynamics 215 creditsSemester 1 (Sep to Jan)
MATH5021MPhilosophy of Logic and Mathematics20 creditsSemester 2 (Jan to Jun)
MATH5071MGroups, Symmetry and Galois Theory20 creditsSemester 1 (Sep to Jan)
MATH5104MAdvanced Proof and Computation20 creditsSemester 2 (Jan to Jun)
MATH5113MAdvanced Differential Geometry20 creditsSemester 2 (Jan to Jun)
MATH5120MAdvanced Models and Sets20 creditsSemester 1 (Sep to Jan)
MATH5195MAdvanced Commutative Rings and Algebraic Geometry20 creditsSemester 2 (Jan to Jun)
MATH5211MMetric Spaces and Functional Analysis20 creditsSemester 1 (Sep to Jan)
MATH5216MHilbert Spaces and Advanced Fourier Analysis20 creditsSemester 2 (Jan to Jun)
MATH5325MModels in Actuarial Science15 creditsSemester 2 (Jan to Jun)
MATH5356MAdvanced Hamiltonian Systems20 creditsSemester 2 (Jan to Jun)
MATH5366MAdvanced Mathematical Methods20 creditsSemester 1 (Sep to Jan)
MATH5373MAdvanced Linear and Nonlinear Waves20 creditsNot running in 201920
MATH5376MAdvanced Hydrodynamic Stability20 creditsNot running in 201920
MATH5386MAdvanced Quantum Mechanics20 creditsSemester 1 (Sep to Jan)
MATH5395MAdvanced Dynamical Systems20 creditsNot running in 201920
MATH5398MAdvanced Nonlinear Dynamics20 creditsSemester 1 (Sep to Jan)
MATH5424MAdvanced Entropy in the Physical World20 creditsNot running in 201920
MATH5458MAdvanced Geophysical Fluid Dynamics20 creditsSemester 2 (Jan to Jun)
MATH5476MAdvanced Modern Numerical Methods20 creditsNot running in 201920
MATH5492MAdvanced Discrete Systems and Integrability20 creditsNot running in 201920
MATH5566MAdvanced Mathematical Biology20 creditsSemester 1 (Sep to Jan)
MATH5567MAdvanced Evolutionary Modelling20 creditsSemester 2 (Jan to Jun)

List B

EPIB3036Introduction to Clinical Trials15 creditsSemester 2 (Jan to Jun)
MATH3714Linear Regression and Robustness15 creditsSemester 1 (Sep to Jan)
MATH3723Statistical Theory15 creditsSemester 2 (Jan to Jun)
MATH3734Stochastic Calculus for Finance15 creditsSemester 2 (Jan to Jun)
MATH3772Multivariate Analysis10 creditsSemester 1 (Sep to Jan)
MATH3802Time Series10 creditsSemester 1 (Sep to Jan)
MATH3820Bayesian Statistics10 creditsSemester 2 (Jan to Jun)
MATH3823Generalised Linear Models10 creditsSemester 2 (Jan to Jun)
MATH5714MLinear Regression, Robustness and Smoothing20 creditsSemester 1 (Sep to Jan)
MATH5734MAdvanced Stochastic Calculus and Applications to Finance20 creditsSemester 2 (Jan to Jun)
MATH5772MMultivariate and Cluster Analysis15 creditsSemester 1 (Sep to Jan)
MATH5802MTime Series and Spectral Analysis15 creditsSemester 1 (Sep to Jan)
MATH5820MBayesian Statistics and Causality15 creditsSemester 2 (Jan to Jun)
MATH5824MGeneralised Linear and Additive Models15 creditsSemester 2 (Jan to Jun)
MATH5835MStatistical Computing15 creditsSemester 1 (Sep to Jan)

Additional Modules may be chosen from List C, as well as Discovery modules.

List C

MATH2051Geometry of Curves and Surfaces10 creditsSemester 1 (Sep to Jan)
MATH2231Discrete Mathematics with Computation15 creditsSemester 2 (Jan to Jun)
MATH2601Numerical Analysis with Computation15 creditsSemester 2 (Jan to Jun)
MATH2650Calculus of Variations10 creditsSemester 2 (Jan to Jun)
MATH2775Survival Analysis10 creditsSemester 2 (Jan to Jun)
MATH2920Computational Mathematics10 creditsSemester 1 (Sep to Jan)

Discovery modules:

Students may take up to 20 credits of discovery modules at Level 2, 3 or 5M, including Mathematics modules and Level 1 Skills modules. Over the final 2 years of the programmes at most 20 credits of Level 1 Skills Discovery modules or Level 2 modules may be chosen.

Module choices are subject to the approval by the Programme Manager.

In order to qualify for the degree, in addition to the usual degree rules, student must pass at least 80 credits of level 3 and 5M Mathematics (not Statistics) modules including at least 40 credits at level 5M, and at least 80 credits of level 3 and 5M Statistics modules including at least 40 credits at level 5M. (EDUC3060, COMP3910, COMP3940, COMP5940M count as a Mathematics and EPIB3036 counts as a Statistics module for this purpose.)


Year4 - View timetable

[Learning Outcomes, Transferable (Key) Skills, Assessment]

Students should normally enrol on exactly 120 or 125 credits in each academic year. Students are permitted to enrol for 110 (115) credits in either of the final 2 years of the prorgamme, provided they register for 130 (125) credits in the other year. Over the final 2 years of the programme students can enrol on at most 20 credits of Level 1 and 2 modules.

Over the final 2 years, students have to take at least 120 credits of Level 5M modules, including at least 40 credits of level 5M Mathematics (not Statistics) and at least 40 credits of level 5M Statistics modules.

Optional modules:

Students must choose at least 110 credits from Lists A, B and C with:
- exactly one module from List A;
- at least 40 credits from List B;
- at least 40 credits from List C.

List A

MATH5003MAssignment in Mathematics (30cr)30 creditsSemesters 1 & 2 (Sep to Jun)
MATH5004MAssignment in Mathematics (40cr)40 creditsSemesters 1 & 2 (Sep to Jun)

List B

COMP3910Combinatorial Optimisation10 creditsSemester 2 (Jan to Jun)
COMP3940Graph Algorithms and Complexity Theory10 creditsSemester 1 (Sep to Jan)
COMP5940MGraph Theory: Structure and Algorithms15 creditsSemester 2 (Jan to Jun)
EDUC3060Mathematics Education10 creditsSemester 1 (Sep to Jan), Semester 2 (Jan to Jun)
MATH3015History of Mathematics15 creditsSemester 2 (Jan to Jun)
MATH3017Calculus in the Complex Plane15 creditsSemester 1 (Sep to Jan)
MATH3021Philosophy of Logic and Mathematics20 creditsSemester 2 (Jan to Jun)
MATH3033Graph Theory15 creditsSemester 1 (Sep to Jan)
MATH3044Number Theory15 creditsSemester 2 (Jan to Jun)
MATH3071Groups and Symmetry15 creditsSemester 1 (Sep to Jan)
MATH3104Proof and Computation15 creditsSemester 2 (Jan to Jun)
MATH3113Differential Geometry15 creditsSemester 2 (Jan to Jun)
MATH3120Models and Sets15 creditsSemester 1 (Sep to Jan)
MATH3143Combinatorics15 creditsSemester 2 (Jan to Jun)
MATH3153Coding Theory15 creditsSemester 1 (Sep to Jan)
MATH3195Commutative Rings and Algebraic Geometry15 creditsSemester 2 (Jan to Jun)
MATH3211Metric and Function Spaces15 creditsSemester 1 (Sep to Jan)
MATH3216Hilbert Spaces and Fourier Analysis15 creditsSemester 2 (Jan to Jun)
MATH3225Topology15 creditsSemester 2 (Jan to Jun)
MATH3232Transformation Geometry15 creditsSemester 1 (Sep to Jan)
MATH3355Hamiltonian Systems15 creditsSemester 2 (Jan to Jun)
MATH3365Mathematical Methods15 creditsSemester 1 (Sep to Jan)
MATH3374Linear and Non-Linear Waves15 creditsNot running in 201920
MATH3375Hydrodynamic Stability15 creditsNot running in 201920
MATH3385Quantum Mechanics15 creditsSemester 1 (Sep to Jan)
MATH3396Dynamical Systems15 creditsNot running in 201920
MATH3397Nonlinear Dynamics15 creditsSemester 1 (Sep to Jan)
MATH3414Analytic Solutions of Partial Differential Equations15 creditsSemester 1 (Sep to Jan)
MATH3424Introduction to Entropy in the Physical World15 creditsNot running in 201920
MATH3458Geophysical Fluid Dynamics15 creditsSemester 2 (Jan to Jun)
MATH3474Numerical Methods10 creditsSemester 1 (Sep to Jan)
MATH3475Modern Numerical Methods15 creditsNot running in 201920
MATH3491Discrete Systems and Integrability15 creditsNot running in 201920
MATH3510Actuarial Mathematics 115 creditsSemester 1 (Sep to Jan)
MATH3520Actuarial Mathematics 215 creditsSemester 2 (Jan to Jun)
MATH3532Relativity and Cosmology15 creditsSemester 2 (Jan to Jun)
MATH3565Mathematical Biology15 creditsSemester 1 (Sep to Jan)
MATH3567Evolutionary Modelling15 creditsSemester 2 (Jan to Jun)
MATH3620Fluid Dynamics 215 creditsSemester 1 (Sep to Jan)
MATH5021MPhilosophy of Logic and Mathematics20 creditsSemester 2 (Jan to Jun)
MATH5071MGroups, Symmetry and Galois Theory20 creditsSemester 1 (Sep to Jan)
MATH5104MAdvanced Proof and Computation20 creditsSemester 2 (Jan to Jun)
MATH5113MAdvanced Differential Geometry20 creditsSemester 2 (Jan to Jun)
MATH5120MAdvanced Models and Sets20 creditsSemester 1 (Sep to Jan)
MATH5195MAdvanced Commutative Rings and Algebraic Geometry20 creditsSemester 2 (Jan to Jun)
MATH5211MMetric Spaces and Functional Analysis20 creditsSemester 1 (Sep to Jan)
MATH5216MHilbert Spaces and Advanced Fourier Analysis20 creditsSemester 2 (Jan to Jun)
MATH5325MModels in Actuarial Science15 creditsSemester 2 (Jan to Jun)
MATH5356MAdvanced Hamiltonian Systems20 creditsSemester 2 (Jan to Jun)
MATH5366MAdvanced Mathematical Methods20 creditsSemester 1 (Sep to Jan)
MATH5373MAdvanced Linear and Nonlinear Waves20 creditsNot running in 201920
MATH5376MAdvanced Hydrodynamic Stability20 creditsNot running in 201920
MATH5386MAdvanced Quantum Mechanics20 creditsSemester 1 (Sep to Jan)
MATH5395MAdvanced Dynamical Systems20 creditsNot running in 201920
MATH5398MAdvanced Nonlinear Dynamics20 creditsSemester 1 (Sep to Jan)
MATH5424MAdvanced Entropy in the Physical World20 creditsNot running in 201920
MATH5458MAdvanced Geophysical Fluid Dynamics20 creditsSemester 2 (Jan to Jun)
MATH5476MAdvanced Modern Numerical Methods20 creditsNot running in 201920
MATH5492MAdvanced Discrete Systems and Integrability20 creditsNot running in 201920
MATH5566MAdvanced Mathematical Biology20 creditsSemester 1 (Sep to Jan)
MATH5567MAdvanced Evolutionary Modelling20 creditsSemester 2 (Jan to Jun)
MATH5734MAdvanced Stochastic Calculus and Applications to Finance20 creditsSemester 2 (Jan to Jun)

List C

EPIB3036Introduction to Clinical Trials15 creditsSemester 2 (Jan to Jun)
MATH3714Linear Regression and Robustness15 creditsSemester 1 (Sep to Jan)
MATH3723Statistical Theory15 creditsSemester 2 (Jan to Jun)
MATH3734Stochastic Calculus for Finance15 creditsSemester 2 (Jan to Jun)
MATH3772Multivariate Analysis10 creditsSemester 1 (Sep to Jan)
MATH3802Time Series10 creditsSemester 1 (Sep to Jan)
MATH3820Bayesian Statistics10 creditsSemester 2 (Jan to Jun)
MATH3823Generalised Linear Models10 creditsSemester 2 (Jan to Jun)
MATH5714MLinear Regression, Robustness and Smoothing20 creditsSemester 1 (Sep to Jan)
MATH5772MMultivariate and Cluster Analysis15 creditsSemester 1 (Sep to Jan)
MATH5802MTime Series and Spectral Analysis15 creditsSemester 1 (Sep to Jan)
MATH5820MBayesian Statistics and Causality15 creditsSemester 2 (Jan to Jun)
MATH5824MGeneralised Linear and Additive Models15 creditsSemester 2 (Jan to Jun)
MATH5835MStatistical Computing15 creditsSemester 1 (Sep to Jan)

Additional modules may be chosen from List D, as well as from Discovery modules.

List C

MATH2051Geometry of Curves and Surfaces10 creditsSemester 1 (Sep to Jan)
MATH2231Discrete Mathematics with Computation15 creditsSemester 2 (Jan to Jun)
MATH2601Numerical Analysis with Computation15 creditsSemester 2 (Jan to Jun)
MATH2650Calculus of Variations10 creditsSemester 2 (Jan to Jun)
MATH2775Survival Analysis10 creditsSemester 2 (Jan to Jun)
MATH2920Computational Mathematics10 creditsSemester 1 (Sep to Jan)

Discovery modules:

Students may take up to 10 credits of discovery modules at Level 2, 3 and 5M, including Mathematics modules and Level 1 Skills modules. Overs the final 2 years of the programme at most 20 credits of Level 1 skills Discovery modules or Level 2 modules may be chosen.

Module choices are subject to approval by the Programme Manager.

In order to qualify for the degree, in addition to the usual degree rules, student must pass at least 80 credits of level 3 and 5M Mathematics (not Statistics) modules including at least 40 credits at level 5M, and at least 80 credits of level 3 and 5M Statistics modules including at least 40 credits at level 5M. (EDUC3060, COMP3910, COMP3940, COMP5940M count as a Mathematics and EPIB3036 counts as a Statistics module for this purpose.)

Last updated: 15/07/2019

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