Mat=
h 107-Rumbos &=
nbsp; &nbs=
p; &=
nbsp; &nbs=
p; &=
nbsp; &nbs=
p; &=
nbsp; &nbs=
p; Fall
2009
Tentative Schedule of Lectures and
Examinations
Dat=
e
W =
; Sep 2 &=
nbsp; &=
nbsp; Introduction:
The Fundamental Theorem of Calculus
M&nbs=
p;
=
Sep 7 &=
nbsp; &=
nbsp; n-dimensional Euclidean space
W =
; Sep 9 &=
nbsp; &=
nbsp; Geometry
of Euclidean space
M&nbs=
p;
=
Sep 14 &=
nbsp; Geometry
of Euclidean space (continued)
W =
; Sep 16 &=
nbsp; Functions
M&nbs=
p;
=
Sep 21 &=
nbsp; Continuity
W =
; Sep 23 &=
nbsp; Compositions
of Continuous Functions
M&nbs=
p;
=
Sep 28 &=
nbsp; Review
W =
; Sep 30 &=
nbsp; Exam
1
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p;
=
Oct 5 &=
nbsp; &=
nbsp; Definition
of differentiability
W =
; Oct 7 &=
nbsp; &=
nbsp; The derivative map
M&nbs=
p;
=
Oct 12 The derivative map (continued)
W =
; Oct 14 Suff=
icient
conditions for differentiability =
;
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p;
=
Oct 19 Fall Recess
W =
; Oct 21 The Chain Rule
M&nbs=
p;
=
Oct 26 Revi=
ew
W =
; Oct 28 E=
xam
2 &n=
bsp;
M&nbs=
p;
=
Nov 2 Arc
length
W =
; Nov 4 &=
nbsp; Path
integrals
M&nbs=
p;
=
Nov 9 &=
nbsp; Line
integrals
W =
; Nov 11 D=
ifferential
forms
M&nbs=
p;
=
Nov 16 D=
ifferential
forms (continued)
W =
; Nov 18 D=
ouble
integrals
M&nbs=
p;
=
Nov 23 <=
span
class=3DGramE>The Fundamental Theorem of Calculus
W =
; Nov 25 P=
roblems
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p;
=
Nov 30 R=
eview
W =
; Dec 2 &=
nbsp; Exam
3 &n=
bsp; =
;
M =
; Dec 7 &=
nbsp; Review
W &nbs=
p; Dec 9 &=
nbsp; Review
M =
; Dec 14