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 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.
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Course Delivery Information
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| Academic year 2015/16, Not available to visiting students (SS1)
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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 )
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| Additional Information (Learning and Teaching) |
Students must pass exam and course overall.
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| Assessment (Further Info) |
Written Exam
85 %,
Coursework
15 %,
Practical Exam
0 %
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| 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.
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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. |
| Keywords | AAC |
Contacts
| Course organiser | Dr Nikolaos Bournaveas
Tel: (0131 6)50 5063
Email: |
Course secretary | Mr Martin Delaney
Tel: (0131 6)50 6427
Email: |
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