Date 
Reading 
Homework 
Week of Mon Sep
02
First day of class Wed Sep 04
For registration see http://www.math.ubc.ca/Ugrad/ugradRegister.shtml

See
First day of class handout here
for office hours, marking, and other policies.
sets
and logic, Natural
numbers, Rational numbers, Hippasus,
ordered sets, fields
if
p divides ab

assignment
1 
Week of Mon Sep 09

Real
numbers as an ordered field with least upper bound
property.
See Computers
and formal proof
for background  not part of our course.
MATHEMATICS LEARNING CENTRE (MLC)
(www.math.ubc.ca/Ugrad/ugradTutorials.shtml)

assignment 1
due.
Assignments are due
at the beginning of
class on Fridays
assignment
2

Week of Mon Sep 16
Wed. class suspended by Senate: Truth and
Reconciliation. http://www.ubc.ca/ourtruth
Office hours on Wednesday not cancelled

Complex numbers,
construction of the real
numbers.
Read about decimal
representations, extended reals, Euclidean spaces

assignment 2
due
assignment
3 
Week of Mon Sep 23

A
nice question someone asked me: What cut represents
"e"?
Finite, countable sets and uncountable sets,
CantorSchroederBernstein
Theorem
metric spaces. Konigsberg
bridge problem
not part of course: cardinality
and axiom of choice
Read Thm §2.8,
Corollary §2.12,
Thm §2.13
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, 
assignment 3
due
assignment
4

Week of Mon Sep 30 
Read
2.28  2.30. Midterm covers to end of 2.30 and
assignments 14. See
info for
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
4 due
No
assignment this week
Use time to prepare for midterm 
Week of Mon Oct 07

Read
§2.41 
§2.47.
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". 
Midterm
on Friday Oct 11
Midterm answers
assignment
5 
Week of Mon Oct 14
No class on Thanksgiving Day
Monday Oct 14

Dec
2013 exam schedule
Starting chapter 3. Read proof of Thm 3.3. Please fill
out midterm
survey
and hand in on Friday while I
have my face buried in the blackboard.

assignment 5
due
assignment 6

Week of Mon Oct 21 
Euclidean
spaces are complete. Read
about monotone sequences, upper and lower limits,
Thm 3.20 on convergence of some frequently occuring
sequences.
Infinite series, pseries. The number "e".
stacking
dominoes (not part of syllabus)

assignment 6
due
assignment
7 
Week of Mon Oct 28

Comparison
theorem 3.25,
Ratio and root tests, Stirling Formula
Power series, radius of convergence
Summation by parts formula and alternating series
Absolute convergence, rearrangements
Read sections 3.473.51 on products and sums of series

assignment 7
due
assignment
8 
Week of Mon Nov 04

Midterm
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
4.54.12

assignment 8
due
No assignment this week

Week of Mon Nov 11
Monday, 11 November
Holiday, Remembrance Day. University closed.

continuity
and compactness 4.13  4.21

Midterm on
Friday Nov 15
assignment
9
Midterm
answers
histogram

Week of Mon Nov 18

continuity
and connectedness 4.22  4.24,
intermediate value theorem.
Read sections 4.284.34 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.

assignment 9
due
assignment
10

Week of Mon Nov 25
Friday Last
day of classes

Mean Value Thm
continued,
Taylor's Thm
Practice final
solutions
to practice final
falsehoods
promulgated by Brydges
Old homework and tests in envelope on table outside my
office 1205 Math Annex

info
on final


Office hours
continue until exam on MWF at the usual times given in
First
day of class handout
here
http://www.students.ubc.ca/coursesreg/exams/examschedule/
comments on final
