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 students for whom it is part of their prescribed programme eg. Direct Entry School of Mathematics 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.
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Course Delivery Information
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Academic year 2024/25, Not available to visiting students (SS1)
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Quota: 60 |
Course Start |
Semester 1 |
Course Start Date |
16/09/2024 |
Timetable |
Timetable |
Learning and Teaching activities (Further Info) |
Total Hours:
200
(
Lecture Hours 22,
Seminar/Tutorial Hours 22,
Summative Assessment Hours 2,
Programme Level Learning and Teaching Hours 4,
Directed Learning and Independent Learning Hours
150 )
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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
50 %,
Coursework
50 %,
Practical Exam
0 %
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Additional Information (Assessment) |
Coursework 50%, Examination 50% |
Feedback |
Not entered |
Exam Information |
Exam Diet |
Paper Name |
Hours & Minutes |
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Main Exam Diet S1 (December) | Accelerated Algebra and Calculus for Direct Entry (MATH08062) | 2:120 | | Resit Exam Diet (August) | Accelerated Algebra and Calculus for Direct Entry (MATH08062) | 2:120 | |
Learning Outcomes
On completion of this course, the student will be able to:
- Understand the ideas of limit, continuity, differentiation, integration, Taylor and related series.
- Apply the techniques of Calculus to problems in Physics and other Sciences.
- Understand Matrices and Gaussian elimination and be able to solve Linear Systems.
- Understand the notions of Linear dependence and independence, dimension and bases.
- Understand the dot product and orthogonality.
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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 |
Keywords | AAC |
Contacts
Course organiser | Ofer Busani
Tel:
Email: obusani@ed.ac.uk |
Course secretary | Mr Martin Delaney
Tel: (0131 6)50 6427
Email: Martin.Delaney@ed.ac.uk |
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