Undergraduate Course: Accelerated Algebra and Calculus for Direct Entry (MATH08062)
Course Outline
School  School of Mathematics 
College  College of Science and Engineering 
Course type  Standard 
Availability  Not available to visiting students 
Credit level (Normal year taken)  SCQF Level 8 (Year 2 Undergraduate) 
Credits  20 
Home subject area  Mathematics 
Other subject area  None 
Course website 
None 
Taught in Gaelic?  No 
Course description  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 Delivery Information

Delivery period: 2013/14 Semester 1, Not available to visiting students (SS1)

Learn enabled: Yes 
Quota: None 
Web Timetable 
Web Timetable 
Course Start Date 
16/09/2013 
Breakdown of 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 Notes 
Students must pass exam and course overall.

Breakdown of Assessment Methods (Further Info) 
Written Exam
85 %,
Coursework
15 %,
Practical Exam
0 %

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   
Summary of Intended 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. 
Assessment Information
See 'Breakdown of Assessment Methods' and 'Additional Notes' above. 
Special Arrangements
Advanced Higher Maths or Alevel maths and Further Maths, all at Grade A. 
Additional Information
Academic description 
Not entered 
Syllabus 
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. 
Transferable skills 
Not entered 
Reading list 
David Poole, Linear Algebra; A modern introduction, International Edition, 3rd edition
James Stewart, Essential Calculus : Early Transcendentals, International Metric Edition, 2nd Edition 
Study Abroad 
Not entered 
Study Pattern 
Not entered 
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 

