Last modified: 23 Aug 2017 15:33
Analysis provides the rigourous, foundational underpinnings of calculus. The focus of this course is multivariable analysis, building on the singlevariable theory from MA2009 Analysis I and MA2509 Analysis II. Concepts and results around multivariable differentiation are comprehensively established, laying the ground for multivariable integration in MX3535 Analysis IV.
As in Analysis I and II, abstract reasoning and proofauthoring are key skills emphasised in this course.
Study Type  Undergraduate  Level  3 

Session  First Sub Session  Credit Points  15 credits (7.5 ECTS credits) 
Campus  Old Aberdeen  Sustained Study  No 
Coordinators 

 Euclidean spaces: metric structure, topology
 Functions between Euclidean spaces: limits, continuity
 Differentiability of functions between Euclidean spaces
 The chain rule, the Inverse Function Theorem, and the Implicit Function Theorem
 Applications of differentiation
Syllabus
Course Aims
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