Module Details |
The information contained in this module specification was correct at the time of publication but may be subject to change, either during the session because of unforeseen circumstances, or following review of the module at the end of the session. Queries about the module should be directed to the member of staff with responsibility for the module. |
Title | MATHEMATICS FOR PHYSICISTS II | ||
Code | PHYS108 | ||
Coordinator |
Dr J Price Physics Joe.Price@liverpool.ac.uk |
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Year | CATS Level | Semester | CATS Value |
Session 2022-23 | Level 4 FHEQ | Second Semester | 15 |
Aims |
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To consolidate and extend the understanding of mathematics required for the physical sciences. To develop the student’s ability to apply the mathematical techniques developed in the module to the understanding of physical problems. |
Learning Outcomes |
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(LO1) Ability to manipulate matrices with confidence and use matrix methods to solve simultaneous linear equations. |
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(LO2) Familiarity with methods for solving first and second order differential equations in one variable. |
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(LO3) A basic knowledge of vector algebra. |
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(LO4) A basic understanding of Fourier series and transforms. |
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(LO5) A basic understanding of series methods for the solution of differential equations |
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(S1) Numeracy |
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(S2) Problem solving skills |
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(S3) Teamwork |
Syllabus |
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* Matrices- addition, multiplication, determinant, inverse, solution of systems of linear equations. * Differential equations – first and second order Diff. Eqn.s in one variable, separation of variables, integrating factors, homogenous (and inhomogeneous) equations. Vector calculus – differentiation and integration of vectors, vector and scalar fields, Grad, Div, Curl and Laplace in Cartesian Co-ords. Mention Laplace’s and Poisson’s equations and different coordinate systems. Series solutions, Legendre polynomials, mention spherical harmonics and Schrödinger’s equation. Fourier series, periodic functions, even and odd expansions. Fourier integrals and transforms. Convolution theorem. |
Teaching and Learning Strategies |
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Teaching Method 1 - Lecture Teaching Method 2 - Problems Class Asynchronous learning materials (notes/videos/exercises etc) will be made available to students through the VLE. The module will have regular synchronous sessions in active learning mode. |
Teaching Schedule |
Lectures | Seminars | Tutorials | Lab Practicals | Fieldwork Placement | Other | TOTAL | |
Study Hours |
36 |
24 |
60 | ||||
Timetable (if known) | |||||||
Private Study | 90 | ||||||
TOTAL HOURS | 150 |
Assessment |
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EXAM | Duration | Timing (Semester) |
% of final mark |
Resit/resubmission opportunity |
Penalty for late submission |
Notes |
In person, time-controlled examination | 2.5 | 70 | ||||
CONTINUOUS | Duration | Timing (Semester) |
% of final mark |
Resit/resubmission opportunity |
Penalty for late submission |
Notes |
Problems Classes Standard UoL penalty applies for late submission. This is not an anonymous assessment. Assessment Schedule (When) :2 | 0 | 15 | ||||
Problems Classes Standard UoL penalty applies for late submission. This is not an anonymous assessment. Assessment Schedule: 2 | 0 | 15 |
Recommended Texts |
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Reading lists are managed at readinglists.liverpool.ac.uk. Click here to access the reading lists for this module. |