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 IV | ||
Code | PHYS208 | ||
Coordinator |
Professor M Klein Physics Max.Klein@liverpool.ac.uk |
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Year | CATS Level | Semester | CATS Value |
Session 2020-21 | Level 5 FHEQ | Second Semester | 15 |
Aims |
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To reinforce students' prior knowledge of mathematical techniques; to introduce new mathematical techniques for physics modules; to enhance students' problem-solving abilities through structured application of these techniques in physics. |
Learning Outcomes |
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(LO1) To have the knowledge of a range of advanced mathematical techniques necessary for physics and astrophysics programmes. |
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(LO2) To be able to apply these mathematical techniques in a range of physics and astrophysics programmes. |
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(S1) Numeracy/computational skills. |
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(S2) Problem solving. |
Syllabus |
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Vector spaces: axioms and basic definitions; scalar product, norm, orthogonal expansions, and metrics Basic elements of Group Theory . Special relativity: Four Vectors and Lorentz transformations; connection between Electrodynamics and Special Relativity; Kinematics Ordinary Differential equations: recapitulation of basic solving strategies, introduction into techniques for numerical solution (- may be shortened or dismissed this year to reduce the load) Partial differential equations: characteristics; separation of variables Advanced statistical methods: Basics of data analysis and probability distributions; parameter estimation with Maximum Likelihood and Least Squares. |
Teaching and Learning Strategies |
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Teaching Method 1 - Lecture The module will be delivered remotely in 2021. 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 |
24 |
24 |
3 |
51 | |||
Timetable (if known) | |||||||
Private Study | 99 | ||||||
TOTAL HOURS | 150 |
Assessment |
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EXAM | Duration | Timing (Semester) |
% of final mark |
Resit/resubmission opportunity |
Penalty for late submission |
Notes |
time-controlled online examination | 2 hours on task | 60 | ||||
CONTINUOUS | Duration | Timing (Semester) |
% of final mark |
Resit/resubmission opportunity |
Penalty for late submission |
Notes |
Homework One set of homework problems Standard UoL penalty applies for late submission. This is not an anonymous assessment. Assessment Schedule (When) :2 | 40 |
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. |