Undergraduate Course: Accelerated Algebra and Calculus for Direct Entry (MATH08062)
|School||School of Mathematics
||College||College of Science and Engineering
|Credit level (Normal year taken)||SCQF Level 8 (Year 2 Undergraduate)
||Availability||Not available to visiting students
|Summary||This course covers material from the first year specialist Maths programme that is not normally covered in Advanced Higher or A-level. It is available only to direct entry students.
This syllabus is for guidance purposes only :
- Functions, Ideas of limit and continuity.
- Implicit and logarithmic differentiation.
- Methods of integration: By parts, reduction formulae.
- Applications of integration (surfaces and solids of revolution.
- Taylor and related series.
Vectors and Matrices
- Revision of vectors, cross products and geometric applications.
- Matrices and determinants: systematic Gaussian elimination.
- Eigenvalues and eigenvectors.
- Diagonalisation of 2x2 matrices, including orthogonal diagonalisation of symmetric matrices
- Ideas of set theory and functions. countable and uncountable sets.
- Polar form of complex numbers, complex exponentials and trig functions.
- Hyperbolic functions.
- Basic properties of integers, factorisation, gcd, Euclidean algorithm.
- Permutations and Combinations.
Course Delivery Information
|Academic year 2017/18, Not available to visiting students (SS1)
|Learning and Teaching activities (Further Info)
Lecture Hours 22,
Seminar/Tutorial Hours 22,
Summative Assessment Hours 3,
Programme Level Learning and Teaching Hours 4,
Directed Learning and Independent Learning Hours
|Additional Information (Learning and Teaching)
Students must pass exam and course overall.
|Assessment (Further Info)
|Additional Information (Assessment)
||Coursework 15%, Examination 85%
||Hours & Minutes
|Main Exam Diet S1 (December)||Accelerated Algebra and Calculus||3:00|
|Resit Exam Diet (August)||Accelerated Algebra and Calculus||3:00|
| Familiarity and calculational fluency with the following concepts :
- Ideas of 'limit' and continuity;
- Techniques of differentiation and integration;
- Applications of integration;
- Taylor and related series;
- Gaussian elimination;
- Polar forms of complex numbers;
- Hyperbolic functions
- Vector geometry;
- Ideas of set theory and functions;
- Basic properties of integers.
|David Poole, Linear Algebra; A modern introduction, International Edition, 3rd edition|
James Stewart, Essential Calculus : Early Transcendentals, International Metric Edition, 2nd Edition
|Graduate Attributes and Skills
||Advanced Higher Maths or A-level maths and Further Maths, all at Grade A.
|Course organiser||Dr Nikolaos Bournaveas
Tel: (0131 6)50 5063
|Course secretary||Mr Martin Delaney
Tel: (0131 6)50 6427