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.
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Course Delivery Information
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| Academic year 2022/23, 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 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 |
|
| Main Exam Diet S1 (December) | | 2:00 | | | Resit Exam Diet (August) | | 2:00 | |
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 |
| Special Arrangements |
Advanced Higher Maths or A-level maths and Further Maths, all at Grade A. |
| Keywords | AAC |
Contacts
| Course organiser | Dr Ivan Cheltsov
Tel: (0131 6)50 5060
Email: |
Course secretary | Mr Martin Delaney
Tel: (0131 6)50 6427
Email: |
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