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DEGREE REGULATIONS & PROGRAMMES OF STUDY 2014/2015
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DRPS : Course Catalogue : School of Biological Sciences : Postgraduate

Postgraduate Course: Applicable Mathematics for MSc Drug Discovery and Translational Biology (PGBI11029)

Course Outline
SchoolSchool of Biological Sciences CollegeCollege of Science and Engineering
Credit level (Normal year taken)SCQF Level 11 (Postgraduate) AvailabilityAvailable to all students
SCQF Credits10 ECTS Credits5
SummaryThis course will provide the essential mathematical tools to approach problems in computational structural biology. Vector and matrix algebra and their applications in crystallographic computing will be covered.
Course description Algebra
Definition of vectors and matrices
Row reduction to echelon form
Solving linear equations with matrices, Gaussian elimination
Matrix addition, subtraction, multiplication, transpose, inversion
Determinants
Geometrical interpretation of inhomogeneous and homogeneous equations
and determinants
Eigenvalues and eigenvectors

Geometry
Pythagoras' Theorem and trigonometric ratios
Cartesian coordinates
Equation of a line in the plane, intersection of lines
2D vector addition, subtraction, scaling, and dot product
Unit vectors, section formulae, vector equation of a line
Vectors in 3D, parametric equation of a line, vector product
Planes in 3D, parametric equation of a plane
Intersections of lines and planes

Crystallographic applications
Orthogonal and polar coordinate systems
Maps and transformations: projection, rotation, dilation, reflection, identity
and inversion
Linear transformations and the geometrical interpretation of eigenvalues
and eigenvectors
Entry Requirements (not applicable to Visiting Students)
Pre-requisites Co-requisites
Prohibited Combinations It is RECOMMENDED that students do NOT also take
Other requirements School mathematics at approximately A-level in the English system.

Not recommended for students studying on a Mathematic programme.
Information for Visiting Students
Pre-requisitesNone
Course Delivery Information
Academic year 2014/15, 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, Summative Assessment Hours 2, Programme Level Learning and Teaching Hours 2, Directed Learning and Independent Learning Hours 76 )
Assessment (Further Info) Written Exam 80 %, Coursework 20 %, Practical Exam 0 %
Additional Information (Assessment) In-course assessment (worth 20%)

Final written examination in December diet (worth 80%)
Feedback Not entered
Exam Information
Exam Diet Paper Name Hours & Minutes
Main Exam Diet S1 (December)Applicable Mathematics for MSc Drug Discovery and Translational Biology2:00
Learning Outcomes

¿ calculate distances between points
After completing this course, students should be able to:
¿ rotate and translate points in 3D
¿ transform coordinates between different coordinate systems
¿ calculate angles between lines
¿ understand methods to solve a set of linear equations

Reading List
None
Additional Information
Graduate Attributes and Skills Not entered
KeywordsAppMaths
Contacts
Course organiserDr Nick Savill
Tel: (0131 6)50 7573
Email: nick.savill@ed.ac.uk
Course secretaryMiss Vicky Mactaggart
Tel: (0131 6)51 7052
Email: Vicky.Mactaggart@ed.ac.uk
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