DEGREE REGULATIONS & PROGRAMMES OF STUDY 2015/2016

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DRPS : Course Catalogue : School of Mathematics : Mathematics

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 SCQF Credits 20 ECTS Credits 10 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. Course description This syllabus is for guidance purposes only : Calculus - 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 Other topics - 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.
 Pre-requisites Co-requisites Prohibited Combinations Students MUST NOT also be taking Practical Calculus (MATH08001) OR Solving Equations (MATH08002) OR Applicable Mathematics 1 (MATH08027) OR Mathematical Methods 1 (MATH08029) OR Introduction to Linear Algebra (MATH08057) OR Calculus and its Applications (MATH08058) Other requirements Advanced Higher Maths or A-level Maths and Further Maths, all at Grade A
 Academic year 2015/16, Not available to visiting students (SS1) Quota:  None Course Start Semester 1 Timetable Timetable Learning and Teaching activities (Further Info) Total Hours: 200 ( Lecture Hours 22, Seminar/Tutorial Hours 22, Summative Assessment Hours 3, Programme Level Learning and Teaching Hours 4, Directed Learning and Independent Learning Hours 149 ) Additional Information (Learning and Teaching) Students must pass exam and course overall. Assessment (Further Info) Written Exam 85 %, Coursework 15 %, Practical Exam 0 % Additional Information (Assessment) Coursework 15%, Examination 85% Feedback Not entered Exam Information Exam Diet Paper Name 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; - Matrices; - Gaussian elimination; - Polar forms of complex numbers; - Hyperbolic functions - Vector geometry; - Ideas of set theory and functions; - Permutations; - 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 Not entered Special Arrangements Advanced Higher Maths or A-level maths and Further Maths, all at Grade A. Keywords AAC
 Course organiser Dr Nikolaos Bournaveas Tel: (0131 6)50 5063 Email: N.Bournaveas@ed.ac.uk Course secretary Mr Martin Delaney Tel: (0131 6)50 6427 Email: Martin.Delaney@ed.ac.uk
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