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Fall
2012
Tentative Schedule of Topics,
Presentations and Examinations
Date &=
nbsp; &nbs=
p; Topic
W Sep 5 Introduction
to mathematical reasoning
F &=
nbsp; Sep 7 Ways
of proving mathematical statements
M &n=
bsp; Sep 10 &=
nbsp; Propositional
logic
W Sep 12 &=
nbsp; The
natural numbers and the principle of induction
F &=
nbsp; Sep 14 &=
nbsp; Divisibility
M &n=
bsp; Sep 17 &=
nbsp; The
real numbers system. Numbers: rational and irrational
W Sep 19 &=
nbsp; Properties
of real numbers
F &=
nbsp; Sep 21 &=
nbsp; Properties
of real numbers (continued)
M &n=
bsp; Sep 24 &=
nbsp; Properties
of real numbers (continued)
W Sep 26 &=
nbsp; Order
in the set of real numbers
F &=
nbsp; Sep 28 &=
nbsp; Order
in the set of real numbers (continued)
M &n=
bsp; Oct 1 Completeness
W Oct 3 Consequences
of completeness
F &=
nbsp; Oct 5 Consequences
of completeness (continued)
M &n=
bsp; Oct 8 Topology
of the real line
W Oct 10 &=
nbsp; Review
F &=
nbsp; Oct 12 &=
nbsp; Exam<=
/b> 1
M =
Oct 15<=
span
style=3D'mso-tab-count:1'> &=
nbsp; Sequences of real numbers
W &nb=
sp; Oct 17<=
span
style=3D'mso-tab-count:1'> &=
nbsp; Convergence
F &nb=
sp; Oct 19<=
span
style=3D'mso-tab-count:1'> &=
nbsp; Monotone sequences
M =
Oct 22&nbs=
p; Fall Recess
W Oct 24 &=
nbsp; Bounded
sequences
F &=
nbsp; Oct 26 &=
nbsp; Cauchy
sequences and convergence
M &n=
bsp; Oct 29 &=
nbsp; Continuous
functions
W Oct 31 &=
nbsp; Properties
of continuous functions
F &=
nbsp; Nov 2 Properties
of continuous functions (continued)
M &n=
bsp; Nov 5 The intermediate value theorem
W Nov 7 The extremal value theorem=
F &=
nbsp; Nov 9 The extremal value theorem
(continued) M &n=
bsp; Nov 12 &=
nbsp; Problems
W Nov 14 &=
nbsp; Review
F &=
nbsp; Nov 16 &=
nbsp; Exam
2
M &n=
bsp; Nov 19 &=
nbsp; Special
Topic
W Nov 21 &=
nbsp; Special
Topic
F &=
nbsp; Nov 23 &=
nbsp; Thanksgiving Recess
M &n=
bsp; Nov 26 Special
Topic
W Nov 28 Special
Topic
F &=
nbsp; Nov 30 Special
Topic
M &n=
bsp; Dec 3 &=
nbsp; Special
Topic
W Dec 5 &=
nbsp; Special
Topic
F =
Dec 7 &=
nbsp; Special Topic
M &n=
bsp; Dec 10 S=
pecial
Topic
W Dec 12 S=
pecial
Topic