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 |
| Course type | Standard |
Availability | Available to all students |
| Credit level (Normal year taken) | SCQF Level 11 (Postgraduate) |
Credits | 10 |
| Home subject area | Postgraduate |
Other subject area | None |
| Course website |
None |
Taught in Gaelic? | No |
| Course description | 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. |
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. |
| Additional Costs | None |
Information for Visiting Students
| Pre-requisites | None |
| Displayed in Visiting Students Prospectus? | Yes |
Course Delivery Information
|
| Delivery period: 2014/15 Semester 1, Available to all students (SV1)
|
Learn enabled: Yes |
Quota: None |
|
Web Timetable |
Web Timetable |
| Course Start Date |
16/09/2014 |
| Breakdown of 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 )
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| Additional Notes |
|
| Breakdown of Assessment Methods (Further Info) |
Written Exam
80 %,
Coursework
20 %,
Practical Exam
0 %
|
| Exam Information |
| Exam Diet |
Paper Name |
Hours & Minutes |
|
| Main Exam Diet S1 (December) | Applicable Mathematics for MSc Drug Discovery and Translational Biology | 2:00 | |
Summary of Intended 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
|
Assessment Information
In-course assessment (worth 20%)
Final written examination in December diet (worth 80%) |
Special Arrangements
| None |
Additional Information
| Academic description |
Not entered |
| Syllabus |
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
|
| Transferable skills |
Not entered |
| Reading list |
Not entered |
| Study Abroad |
Not entered |
| Study Pattern |
Not entered |
| Keywords | AppMaths |
Contacts
| 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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