|Week of Mon Sep
First day of class Wed Sep 04
For registration see http://www.math.ubc.ca/Ugrad/ugradRegister.shtml
First day of class handout here
for office hours, marking, and other policies.
and logic, Natural
numbers, Rational numbers, Hippasus,
ordered sets, fields
p divides ab
|Week of Mon Sep 09
numbers as an ordered field with least upper bound
and formal proof
for background -- not part of our course.
MATHEMATICS LEARNING CENTRE (MLC)
Assignments are due
at the beginning of
class on Fridays
|Week of Mon Sep 16
Wed. class suspended by Senate: Truth and
Office hours on Wednesday not cancelled
| Complex numbers,
construction of the real
Read about decimal
representations, extended reals, Euclidean spaces
|Week of Mon Sep 23
nice question someone asked me: What cut represents
Finite, countable sets and uncountable sets,
metric spaces. Konigsberg
not part of course: cardinality
and axiom of choice
Read Thm §2.8,
and the Corollary that Q is countable because I will
not cover this in class.
Metric spaces, neighbourhoods,
open sets, limit points and closed sets,
|Week of Mon Sep 30
2.28 - 2.30. Midterm covers to end of 2.30 and
assignments 1-4. See
more details. Here is my previous midterm
to practice on.
unions and intersections of open and closed sets, the
closure of E is the smallest set that contains E
Starting compactness, but will not be on exam.
assignment this week
Use time to prepare for midterm
|Week of Mon Oct 07
Perfect sets and connected sets appear in hw5.
The Cantor set is very important as a fractal and as
an example in integration, but in this course all we
do is "get used to it".
on Friday Oct 11
|Week of Mon Oct 14
No class on Thanksgiving Day
Monday Oct 14
2013 exam schedule
Starting chapter 3. Read proof of Thm 3.3. Please fill
and hand in on Friday while I
have my face buried in the blackboard.
|Week of Mon Oct 21
spaces are complete. Read
about monotone sequences, upper and lower limits,
Thm 3.20 on convergence of some frequently occuring
Infinite series, p-series. The number "e".
dominoes (not part of syllabus)
|Week of Mon Oct 28
Ratio and root tests, Stirling Formula
Power series, radius of convergence
Summation by parts formula and alternating series
Absolute convergence, rearrangements
Read sections 3.47-3.51 on products and sums of series
|Week of Mon Nov 04
covers from after 2.30 throught to end of chapter 3. See
info for more details.
Here is my previous midterm
to practice on.
Limits of functions, continuous functions, read sections
No assignment this week
|Week of Mon Nov 11
Monday, 11 November
Holiday, Remembrance Day. University closed.
and compactness 4.13 -- 4.21
Friday Nov 15
|Week of Mon Nov 18
and connectedness 4.22 -- 4.24,
intermediate value theorem.
Read sections 4.28-4.34 to see
the examples. I will not be directly asking
questions about these sections on the final but the
examples will help
you understand the sections we have covered.
chapter 5, definition of derivative, rules for
differentiation, examples in 5.6.
Mean value Thm.
|Week of Mon Nov 25
day of classes
|Mean Value Thm
to practice final
promulgated by Brydges
Old homework and tests in envelope on table outside my
office 1205 Math Annex
continue until exam on MWF at the usual times given in
day of class handout
comments on final