# DEGREE REGULATIONS & PROGRAMMES OF STUDY 2015/2016

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# 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 Available to all 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 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
 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.
 Pre-requisites None High Demand Course? Yes
 Academic year 2015/16, 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 Biology 2:00
 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 Nick Savill Tel: (0131 6)50 7573 Email: nick.savill@ed.ac.uk Course secretary Miss Vicky Mactaggart Tel: (0131 6)51 7052 Email: Vicky.Mactaggart@ed.ac.uk
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