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Trinity College Dublin

[Self-portrait]

MA2321 - Analysis in Several Real Variables
Dr. David R. Wilkins

Examination Syllabus for the Annual Examination 2018

Lecture Material for Michaelmas Term 2017

Course notes:—

Lecture slides:—

Assignments:—

Course Material from the Academic Year 2016/17

Available from a separate webpage is course material for MA2321 from the Academic Year 2016/17.

Course Material from the Academic Year 2015/16

Available from a separate webpage is course material for MA2321 from the Academic Year 2015/16.

Courses notes for 211, 221 and 224 as originally taught by Prof. David Simms, together with some later MA2321 Material

Course 211 (Linear Algebra and Differential Forms) — Prof. David Simms (transcribed by Brendan Griffin, further edited by Geoff Bradley)
Course 221 (Real and Complex Analysis) — Prof. David Simms (transcribed by Eoin Curran)
Chapter 4 (Differentiation, pp. 71—88) has substantial overlap with Section 8 of the MA2321 notes for 2016—17. Similarly Chapter 6 (Further Calculus, pp. 107--114) has substantial overlap with Section 9 of the MA2321 notes for 2016—17.
Course 224: Geometry---Continuity and Differentiability (Lecture Notes by Prof. David Simms, LaTeXed by Chris Blair)
MA224 Geometry (Based on the Lectures of Prof. Simms, typeset by Josh Tobin
Module Webpage for MA2321 in Michaelmas Term 2014 (Prof. David Simms)
Exercise sets relevant to MA2321 in 2016—17 include MA2321 Exercises I; 2014, MA2321 Exercises II; 2014 and MA2321 Exercises III; 2014. Note however that (i) these exercises were never set as homework problems to be marked and contribute to the final grade. They were discussed in class, and some of the exercises constituted the basis for regular examination questions. Also the essential content of many of the “exercies” has been incorporated into the course content for MA2321 in 2015—16 and 2016—17.

Correspondences with MA2223 in Michaelmas Term 2015

There were a number of correspondence between the content of modules MA2223 and MA2321 summarized here.

Material to aid Preparation for the Annual Examination 2016

Resources available on the Internet

See http://www.maths.tcd.ie/~dwilkins/Courses/MA2321/resources.php.

Course Material from Previous Years in Related Modules

The lecture courses taught by the lecturer at TCD in previous years that overlap most closely with the current MA2321 module are lecture courses (or modules) MA121, MA221, MA223 and MA212.

(N.B., the version of Sophister module MA3429 Differential Geometry taught in Michaelmas Term 2010 would be significantly different from what is currently taught, and from what has been taught in previous years.)


Back to D.R. Wilkins: Lecture Notes

Dr. David R. Wilkins, School of Mathematics, Trinity College Dublin.