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DRPS : Course Catalogue : School of Mathematics : Mathematics

Undergraduate Course: Accelerated Algebra and Calculus for Direct Entry (MATH08062)

Course Outline
SchoolSchool of Mathematics CollegeCollege of Science and Engineering
Credit level (Normal year taken)SCQF Level 8 (Year 2 Undergraduate) AvailabilityNot available to visiting students
SCQF Credits20 ECTS Credits10
SummaryThis 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 :

- 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.
Entry Requirements (not applicable to Visiting Students)
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
Course Delivery Information
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 Calculus3:00
Resit Exam Diet (August)Accelerated Algebra and Calculus3:00
Learning Outcomes
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.
Reading List
David Poole, Linear Algebra; A modern introduction, International Edition, 3rd edition

James Stewart, Essential Calculus : Early Transcendentals, International Metric Edition, 2nd Edition
Additional Information
Graduate Attributes and Skills Not entered
Special Arrangements Advanced Higher Maths or A-level maths and Further Maths, all at Grade A.
Course organiserDr Nikolaos Bournaveas
Tel: (0131 6)50 5063
Course secretaryMr Martin Delaney
Tel: (0131 6)50 6427
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