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Semester 1

Linear Algebra and Several Variable Calculus (PHYS08042)

Subject

Physics and Astronomy

College

SCE

Credits

10

Normal Year Taken

2

Delivery Session Year

2022/2023

Pre-requisites

Course Summary

This course is designed for pre-honours physics students continuing from PH1. It covers linear algebra and multivariate calculus, which are used to describe concepts in physics. The course consists of lectures to present new material, and workshops to develop understanding, familiarity and fluency.

Course Description

- Vectors. Basic vector algebra. (1)- Dot and cross products. Triple products. (3)- Linear independence. Expansion in a basis. Change of basis. (1)- Matrices. Matrix algebra. Orthogonal transformations. (3)- Determinant, rank and inverse. Eigenvalues and eigenvectors. Matrix diagonalisation(4)- Complex vectors. Hermitian and unitary matrices. (2)- Taylor expansions. Maxima, minima and saddle points (1)- Partial derivatives. Chain rule. Change of variables. Spherical and cylindrical polar coordinates. (3)- Multivariate integration. (2)

Assessment Information

Written Exam 80%, Coursework 20%, Practical Exam 0%

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