# DEGREE REGULATIONS & PROGRAMMES OF STUDY 2023/2024

### Timetable information in the Course Catalogue may be subject to change.

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DRPS : Course Catalogue : School of Biological Sciences : Postgraduate

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

 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
 Pre-requisites 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.
 Not being delivered
 On completion of this course, the student will be able to: do basic manipulations on matrices including row reduction, addition, subtraction, multiplication, inversionunderstand how matrices can be used to solve simultaneous linear equations and use Gaussian elimination to achieve thisunderstand 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 themfind angles between lines using the dot product and find areas and volumes using vector and triple vector productapply linear maps to vector spaces and find their corresponding eigenvalues and eigenvectors and understand what these represent
 Recommended Textbook Basic Algebra and Geometry, Hirst and Singerman 2006, Pearson
 Graduate Attributes and Skills Not entered Keywords AppMaths
 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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