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

Lecture Material for Michaelmas Term 2017
Course notes:—
Lecture slides:—
Assignments:—
 MA2321, Michaelmas Term 2017, Assignment 1 (due Thursday, November 23, 2017)
 MA2321, Michaelmas Term 2017, Solutions to Assignment 1
 MA2321, Michaelmas Term 2017, Assignment 2 (due Friday, January 26, 2018)
 MA2321, Michaelmas Term 2017, Solutions to Assignment 2
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. 107114) has
substantial overlap with Section 9 of the MA2321 notes
for 2016—17.
 Course 224: GeometryContinuity 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.