Postgraduate Course: Applicable Mathematics for MSc Drug Discovery and Translational Biology (PGBI11029)
Course Outline
School  School of Biological Sciences 
College  College of Science and Engineering 
Credit level (Normal year taken)  SCQF Level 11 (Postgraduate) 
Availability  Not available to visiting students 
SCQF Credits  10 
ECTS Credits  5 
Summary  This 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 
Topics covered:
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
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
Maps and transformations: projection, rotation, dilation, reflection, identity
and inversion
Linear transformations and the geometrical interpretation of eigenvalues
and eigenvectors
Link to a video describing the course from the Course Organiser: https://media.ed.ac.uk/media/Applicable+Mathematics+for+MSc+Drug+Discovery+and+Translational+Biology/1_n3dm4r5y

Entry Requirements (not applicable to Visiting Students)
Prerequisites 

Corequisites  
Prohibited Combinations  
Other requirements  School mathematics at approximately Alevel in the English system.
Not recommended for students studying on a Mathematic programme. 
Course Delivery Information
Not being delivered 
Learning Outcomes
On completion of this course, the student will be able to:
 do basic manipulations on matrices including row reduction, addition, subtraction, multiplication, inversion
 understand how matrices can be used to solve simultaneous linear equations and use Gaussian elimination to achieve this
 understand how vectors can be used to represent lines and planes in 2D and 3D Cartesian coordinate systems and to be able to find the intersections between them
 find angles between lines using the dot product and find areas and volumes using vector and triple vector product
 apply linear maps to vector spaces and find their corresponding eigenvalues and eigenvectors and understand what these represent

Reading List
Recommended Textbook
Basic Algebra and Geometry, Hirst and Singerman 2006, Pearson

Additional Information
Graduate Attributes and Skills 
Not entered 
Keywords  AppMaths 
Contacts
Course organiser  Dr Martin Wear
Tel: (0131 6)50 7054
Email: Martin.Wear@ed.ac.uk 
Course secretary  Miss Fionnuala Nidhonnabhain
Tel:
Email: fnidhonn@ed.ac.uk 

