Undergraduate Course: Accelerated Algebra and Calculus for Direct Entry (MATH08062)
|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
|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.
This syllabus is for guidance purposes only :
- 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.
Course Delivery Information
|Academic year 2022/23, Not available to visiting students (SS1)
|Learning and Teaching activities (Further Info)
Lecture Hours 22,
Seminar/Tutorial Hours 22,
Summative Assessment Hours 2,
Programme Level Learning and Teaching Hours 4,
Directed Learning and Independent Learning Hours
|Additional Information (Learning and Teaching)
Students must pass exam and course overall.
|Assessment (Further Info)
|Additional Information (Assessment)
||Coursework 50%, Examination 50%
||Hours & Minutes
|Main Exam Diet S1 (December)||2:00|
|Resit Exam Diet (August)||2:00|
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.
|David Poole, Linear Algebra; A modern introduction, International Edition, 3rd edition|
James Stewart, Essential Calculus : Early Transcendentals, International Metric Edition, 2nd Edition
|Graduate Attributes and Skills
||Advanced Higher Maths or A-level maths and Further Maths, all at Grade A.
|Course organiser||Dr Ivan Cheltsov
Tel: (0131 6)50 5060
|Course secretary||Mr Martin Delaney
Tel: (0131 6)50 6427