Course finder
Semester 1
Several Variable Calculus and Differential Equations (MATH08063)
Subject
Mathematics
College
SCE
Credits
20
Normal Year Taken
2
Delivery Session Year
2023/2024
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.
Course Summary
A first several variable calculus course and a first methods course for differential equations. After a review of vector algebra, vector calculus is introduced, including gradient, divergence and curl functions. Double, triple, line, surface and volume integrals are discussed and practised. Green's Theorem, Stokes' theorem and divergence, (Gauss') theorem are distinct highlight. First order linear ordinary diff. eq. are solved by separation, using an integrating factor and numerically. Various solution methods for secondorder linear homogeneous equations are presented.The course ends with a discussion of the series expansion solutions
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)
Assessment Information
Written Exam 60%, Coursework 40%, Practical Exam 0%
Additional Assessment Information
Coursework 40%, Examination 60%
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