Undergraduate Course: Several Variable Calculus and Differential Equations (MATH08063)
|School||School of Mathematics
||College||College of Science and Engineering
|Credit level (Normal year taken)||SCQF Level 8 (Year 2 Undergraduate)
||Availability||Available to all students
|Summary||Students taking this course should have either passed 'Calculus and its Applications' or be taking 'Accelerated Algebra and Calculus for Direct Entry' :
A several variable calculus course, and a first methods course for differential equations.
Week 1 : Vectors and vector functions. (Book 1, Chapter 10)
Weeks 1-3 : Partial derivatives. (Book 1, Chapter 11)
Weeks 4-5 : Multiple integrals. (Book 1, Chapter 12)
Weeks 6-7 : Vector calculus. (Book 1, Chapter 13)
Weeks 8-9 : 1st order differential equations. (Book 2, Chapters 1 and 2)
Weeks 9-11 : 2nd order differential equations. (Book 2, Chapters 3 and 5)
Information for Visiting Students
|Pre-requisites||Visiting students are advised to check that they have studied the material covered in the syllabus of each pre-requisite course before enrolling.
|High Demand Course?
Course Delivery Information
|Academic year 2018/19, Available to all students (SV1)
|Learning and Teaching activities (Further Info)
Lecture Hours 42,
Seminar/Tutorial Hours 11,
Summative Assessment Hours 3,
Revision Session 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 20%, Examination 80%
||Hours & Minutes
|Main Exam Diet S1 (December)||Several Variable Calculus and Differential Equations (MATH08063)||3:00|
|Resit Exam Diet (August)||Several Variable Calculus and Differential Equations (MATH08063)||3:00|
On completion of this course, the student will be able to:
- Manipulate routine algebraic and numerical calculations, for example partial derivatives and derived functions, vectors and vector functions, double and triple integrals, line and surface integrals, to solve standard problems without explicit prompting.
- State, use and derive in good mathematical style the principal theoretical results of the course, e.g. critical points of functions in several variables, Stokes' theorem and Gauss' (divergence) theorem, to solve unseen problems which extend examples studied.
- Identify differential equations belonging to some standard classes and choose and apply the appropriate methods for their solution.
|Students are expected to have a personal copies of :|
Essential Calculus : Early Transcendentals, International Metric Edition by James Stewart
Elementary Differential Equations and Boundary Value Problems by William E. Boyce and Richard C. DiPrima
(This book is also relevant for Y3 courses.)
|Graduate Attributes and Skills
|Course organiser||Dr Maximilian Ruffert
Tel: (0131 6)50 5039
|Course secretary||Mr Martin Delaney
Tel: (0131 6)50 6427