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
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Entry Requirements (not applicable to Visiting Students)
| Pre-requisites |
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Co-requisites | |
| Prohibited Combinations | |
Other requirements | School mathematics at approximately A-level 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
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Reading List
Recommended Textbook
Basic Algebra and Geometry, Hirst and Singerman 2006, Pearson
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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 |
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