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DRPS : Course Catalogue : School of Mathematics : Mathematics

Undergraduate Course: Several Variable Calculus and Differential Equations (MATH08063)

Course Outline
SchoolSchool of Mathematics CollegeCollege of Science and Engineering
Credit level (Normal year taken)SCQF Level 8 (Year 2 Undergraduate) AvailabilityAvailable to all students
SCQF Credits20 ECTS Credits10
SummaryStudents 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.
Course description 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)
Entry Requirements (not applicable to Visiting Students)
Pre-requisites Students MUST have passed: Calculus and its Applications (MATH08058)
Prohibited Combinations Students MUST NOT also be taking Engineering Mathematics 2A (SCEE08009) OR Engineering Mathematics 2B (SCEE08010)
Other requirements The Pre-requisite does not apply to Direct Entry students. They should also take Accelerated Algebra and Calculus for Direct Entry.
Information for Visiting Students
High Demand Course? Yes
Course Delivery Information
Academic year 2015/16, Available to all students (SV1) Quota:  None
Course Start Semester 1
Timetable Timetable
Learning and Teaching activities (Further Info) Total Hours: 200 ( Lecture Hours 44, Seminar/Tutorial Hours 11, Summative Assessment Hours 3, Programme Level Learning and Teaching Hours 4, Directed Learning and Independent Learning Hours 138 )
Additional Information (Learning and Teaching) Students must pass exam and course overall.
Assessment (Further Info) Written Exam 85 %, Coursework 15 %, Practical Exam 0 %
Additional Information (Assessment) Coursework 15%, Examination 85%
Feedback Not entered
Exam Information
Exam Diet Paper Name 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
Learning Outcomes
On completion of this course, the student will be able to:
  1. Students 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.
  2. Students will be able to 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.
  3. Students will be able to identify differential equations belonging to some standard classes and choose and apply the appropriate methods for their solution.
Reading List
Students are expected to have a personal copies of :
Book 1:
Essential Calculus : Early Transcendentals, International Metric Edition

Book 2:
Elementary Differential Equations and Boundary Value Problems by William E. Boyce and Richard C. DiPrima
(This book is also relevant for Y3 courses.)
Additional Information
Graduate Attributes and Skills Not entered
Course organiserDr Maximilian Ruffert
Tel: (0131 6)50 5039
Course secretaryMr Martin Delaney
Tel: (0131 6)50 6427
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