2005/06 Undergraduate Module Catalogue
PHYS2160 Matrices and Vector Calculus
10 creditsClass Size: 100
Module manager: Professor G J Morgan
Taught: Semester 1 (Sep to Jan) View Timetable
Year running 2005/06
Pre-requisitesPHYS1150 (Basic Mathematical Methods) PHYS1160 (Differential Calculus and Infinite Series) or equivalents
This module is not approved as an Elective
ObjectivesOn completion of this module, students should be able to:
- evaluate the gradient of a scalar function, the divergence of a vector function and the curl of a vector function;
- Evaluate line, surface and volume integrals which may include changing the order of integration and using Cartesian, cylindrical polar or spherical polar coordinates;
- multiply matrices and evaluate determinants;
- solve a set of linear equations; using Kramer's rule;
- invert matrices and find eigenvalues and eigenstates;
- use the properties of delta-functions.
Basic mathematical methods needed in all branches of science.Basic mathematical methods needed in all branches of science.
Div, Grad and Curl Operators:
Gradient of a scalar function or field, divergence and curl of a vector function or field. Use of these operators in fluid mechanics and electromagnetism.
Line,surface and volume integrals, i.e integration along curves, over areas and volumes. Use of spherical and cylindrical polar coordinates.
Multiplication of matrices, inverses and linear transformations. Determinants and the solution of linear equations, eigenvalues and eigenvectors.
Diagonalisation of matrices, real symmetric matrices and diagonalisation of quadratic forms. Hermitian matrices and forms, including real eigenvalue property.
Properties of delta-functions.
Due to COVID-19, teaching and assessment activities are being kept under review - see module enrolment pages for informationLectures: 22 x 1 hour;
Example classes: 6 x 1 hour.
Private studyHomework and tutorials: 50 hours;
Reading and revision: 22 hours .
Opportunities for Formative Feedback5 x marked assignments.
Methods of assessment
Due to COVID-19, teaching and assessment activities are being kept under review - see module enrolment pages for information1 x 2 hour examination at the end of the semester: 85%;
5 marked assignments: 15%.
Reading listThe reading list is available from the Library website
Last updated: 16/03/2007
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