Undergraduate Course: Algebra and Calculus (PHYS08041)
Course Outline
School  School of Physics and Astronomy 
College  College of Science and Engineering 
Course type  Standard 
Availability  Available to all students 
Credit level (Normal year taken)  SCQF Level 8 (Year 2 Undergraduate) 
Credits  20 
Home subject area  Undergraduate (School of Physics and Astronomy) 
Other subject area  None 
Course website 
None 
Taught in Gaelic?  No 
Course description  This course is designed for prehonours direct entry physics students. It covers basic and more advanced algebra, as well as basic 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. 
Information for Visiting Students
Prerequisites  None 
Displayed in Visiting Students Prospectus?  No 
Course Delivery Information

Delivery period: 2014/15 Semester 1, Available to all students (SV1)

Learn enabled: No 
Quota: None 

Web Timetable 
Web Timetable 
Course Start Date 
15/09/2014 
Breakdown of Learning and Teaching activities (Further Info) 
Total Hours:
200
(
Lecture Hours 44,
Seminar/Tutorial Hours 80,
Summative Assessment Hours 3,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
71 )

Additional Notes 

Breakdown of Assessment Methods (Further Info) 
Written Exam
80 %,
Coursework
20 %,
Practical Exam
0 %

Exam Information 
Exam Diet 
Paper Name 
Hours & Minutes 

Main Exam Diet S1 (December)   3:00   Resit Exam Diet (August)   3:00  
Summary of Intended Learning Outcomes
On completion of this course it is intended that student will be able to:
 Show fluency and confidence in elementary algebra and calculus, basic problemsolving techniques and the methods of linear algebra as they apply to physical problems.
 Interpret unfamiliar equations, e.g. through appropriate sketches (especially of graphs) and by identifying special cases.
 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. 
Assessment Information
20% coursework
80% exam 
Special Arrangements
None 
Additional Information
Academic description 
Not entered 
Syllabus 
Basic Algebra & Calculus (20 lectures)
 Basic Algebra. Manipulating expressions. Squares. Polynomials. Factorization. Quadratic and root equations (3)
 Functions. Inequalities. Moduli. Exponentials and logarithms. Curve sketching. Series expansions. Harmonic potentials. (3)
 Geometry and trigonometry. Trig functions. Lines and circles. Conic sections. (3)
 Complex numbers. Complex algebra. Argand diagram. Euler and deMoivre. (2)
 Derivatives. Differentiation of standard functions. Composite functions. Higher derivatives. (3)
 Elementary Ordinary Differential Equations. (3)
 Integrals. Standard integrals. Integrating by parts. Substitution. (3)
Linear Algebra & Several Variable Calculus (20 lectures)
 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)

Transferable skills 
Not entered 
Reading list 
Not entered 
Study Abroad 
Not entered 
Study Pattern 
Not entered 
Keywords  AC 
Contacts
Course organiser  Dr Richard Blythe
Tel: (0131 6)50 5105
Email: R.A.Blythe@ed.ac.uk 
Course secretary  Mrs Bonnie Macmillan
Tel: (0131 6)50 5905
Email: Bonnie.MacMillan@ed.ac.uk 

