THE UNIVERSITY of EDINBURGH

DEGREE REGULATIONS & PROGRAMMES OF STUDY 2022/2023

Timetable information in the Course Catalogue may be subject to change.

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DRPS : Course Catalogue : School of Mathematics : Mathematics

Undergraduate Course: Accelerated Algebra and Calculus for Direct Entry (MATH08062)

Course Outline
SchoolSchool of Mathematics CollegeCollege of Science and Engineering
Credit level (Normal year taken)SCQF Level 8 (Year 2 Undergraduate) AvailabilityNot available to visiting students
SCQF Credits20 ECTS Credits10
SummaryThis 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.
Entry Requirements (not applicable to Visiting Students)
Pre-requisites Co-requisites
Prohibited Combinations Students MUST NOT also be taking Introduction to Linear Algebra (MATH08057) OR Calculus and its Applications (MATH08058)
Other requirements - Advanced Higher Maths or A-level Maths and Further Maths, all at Grade A
- It is available only to direct entry students
Course Delivery Information
Academic year 2022/23, Not available to visiting students (SS1) 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 )
Additional Information (Learning and Teaching) Students must pass exam and course overall.
Assessment (Further Info) Written Exam 50 %, Coursework 50 %, Practical Exam 0 %
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:
  1. Understand the ideas of limit, continuity, differentiation, integration, Taylor and related series.
  2. Apply the techniques of Calculus to problems in Physics and other Sciences.
  3. Understand Matrices and Gaussian elimination and be able to solve Linear Systems.
  4. Understand the notions of Linear dependence and independence, dimension and bases.
  5. Understand the dot product and orthogonality.
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.
KeywordsAAC
Contacts
Course organiserDr Ivan Cheltsov
Tel: (0131 6)50 5060
Email:
Course secretaryMr Martin Delaney
Tel: (0131 6)50 6427
Email:
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