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

Information for Visiting Students
Prerequisites  None 
High Demand Course? 
Yes 
Course Delivery Information

Academic year 2022/23, 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  
Learning Outcomes
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 problems
 Present a solution to a physics problem in a clear and logical written form
 Assess whether a solution to a given problem is physically reasonable
 Locate and use additional sources of information (to include discussion with peers and use of computer algebra packages where appropriate) to facilitate independent problemsolving
 Take responsibility for learning by attending lectures and workshops, and completing coursework

Reading List
Mathematical Methods for Physics and Engineering
AUTHORS: K.F. Riley, M.P. Hobson & S.J. Bence
ISBN: 9780521679718 
Additional Information
Graduate Attributes and Skills 
Not entered 
Keywords  LASVC 
Contacts
Course organiser  Dr Anton Ilderton
Tel:
Email: anton.ilderton@ed.ac.uk 
Course secretary  Miss Hayley Crawford
Tel: (0131 6)51 7524
Email: hayley.crawford@ed.ac.uk 

