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

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 Calculus  3:00   Resit Exam Diet (August)  Accelerated Algebra and Calculus  3:00  
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 Alevel maths and Further Maths, all at Grade A. 
Keywords  AAC 
Contacts
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 

