# DEGREE REGULATIONS & PROGRAMMES OF STUDY 2021/2022

### Information in the Degree Programme Tables may still be subject to change in response to Covid-19

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DRPS : Course Catalogue : School of Physics and Astronomy : Undergraduate (School of Physics and Astronomy)

# Undergraduate Course: Linear Algebra and Several Variable Calculus (PHYS08042)

 School School of Physics and Astronomy College College of Science and Engineering Credit level (Normal year taken) SCQF Level 8 (Year 2 Undergraduate) Availability Available to all students SCQF Credits 10 ECTS Credits 5 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)
 Pre-requisites Students MUST have passed: Physics 1A: Foundations (PHYS08016) AND Mathematics for Physics 2 (PHYS08036) OR ( Introduction to Linear Algebra (MATH08057) AND Calculus and its Applications (MATH08058)) Co-requisites Prohibited Combinations Students MUST NOT also be taking Algebra and Calculus (PHYS08041) Other requirements None
 Pre-requisites None High Demand Course? Yes
 Academic year 2021/22, Available to all students (SV1) Quota:  None Course Start Semester 1 Timetable Timetable Learning and Teaching activities (Further Info) Total Hours: 100 ( Lecture Hours 20, Seminar/Tutorial Hours 20, Summative Assessment Hours 2, Revision Session Hours 2, Programme Level Learning and Teaching Hours 2, Directed Learning and Independent Learning Hours 54 ) Assessment (Further Info) Written Exam 80 %, Coursework 20 %, Practical Exam 0 % Additional Information (Assessment) 20% Coursework 80% Examination Feedback Not entered Exam Information Exam Diet Paper Name Hours & Minutes Main Exam Diet S1 (December) 1:45 Resit Exam Diet (August) 1:45
 On completion of this course, the student will be able to: Show fluency and confidence in linear algebra and several variable calculus, as they apply to physical problemsPresent a solution to a physics problem in a clear and logical written formAssess whether a solution to a given problem is physically reasonableLocate and use additional sources of information (to include discussion with peers and use of computer algebra packages where appropriate) to facilitate independent problem-solvingTake responsibility for learning by attending lectures and workshops, and completing coursework
 Mathematical Methods for Physics and Engineering AUTHORS: K.F. Riley, M.P. Hobson & S.J. Bence ISBN: 9780521679718
 Graduate Attributes and Skills Not entered Keywords LASVC
 Course organiser Dr Jamie Cole Tel: (0131 6)50 5999 Email: R.J.Cole@ed.ac.uk Course secretary Ms Grace Wilson Tel: (0131 6)50 5310 Email: Grace.Wilson@ed.ac.uk
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