Some Lecture Notes
- Basics of Analysis (pdf
671 Kb) Notes
from the "Foundations" part of the 1998 first year first semester
course, MATH 1115 (Mathematics and its Applications I Honours). A rigorous
introduction
up through Riemann Integration, including an overview of the Fundamental
Existence and Uniqueness Theorem for Ordinary Differential Equations.
- Basics of Analysis (pdf
272 Kb) Notes from the "Foundations" part of the 1999 first year
first semester course, MATH 1115 (Mathematics and its Applications I Honours).
These are to be used in conjunction with the1998 notes. The main difference
being
that
continuity of functions is here approached first via convergence of sequences.
- Basics of Analysis (pdf
279 Kb) Notes from the "Foundations" part of the 2001 first year
course, MATH 1115 (Mathematics and its Applications I Honours). There is
less material than in 1998/9. The additional material was essentially covered
in the second semester.
- Introduction to Analysis (pdf
808 Kb) Notes from the 2002, second year course, MATH 2320 (Analysis I).
To supplement the text "Fundamental Ideas of Analysis" by M. Reed
- Introduction to Mathematical
Analysis (pdf 1.2 Mb) Preliminary version of a text, used in the second
year course B21H in the 1990s. Here are Problems and Solutions for
the course.
- Measure Theory (pdf
284 Kb) Five lectures from the "Instructional Workshop on Analysis and
Geometry",
held at the ANU Jan 23 - Feb 10, 1995.
- Elliptic Systems (pdf
158 Kb) A survey lecture from the "Instructional Workshop on Analysis
and Geometry",
held at the ANU Jan 23 - Feb 10, 1995.
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Mathematical Sciences
Institute
Department of
Mathematics Handbook
Last updated: 16 January 2004