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p; Spring
2009
Tentative Schedule of Lectures and
Examinations
Dat=
e
W &n=
bsp; Jan. 21=
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nbsp; n-dimensional
Euclidean space
M &n=
bsp; Jan. 26=
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nbsp; Spans,
lines and planes
W Jan. 28=
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nbsp; Dot
product, Euclidean norm and orthogonality
M &n=
bsp; Feb. 2 &=
nbsp; The
cross product and areas
W Feb. 4 &=
nbsp; Functions
on Euclidean space
M &n=
bsp; Feb. 9 &=
nbsp; Open
subsets of Euclidean space
W Feb. 11=
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nbsp; Continuous
functions
M &n=
bsp; Feb. 16=
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nbsp; Limits
and continuity
W Feb. 18=
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nbsp; Differentiability
M &n=
bsp; Feb. 23=
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nbsp; The
derivative map
W Feb. 25=
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nbsp; Sufficient
conditions for differentiability and C1 maps
M &n=
bsp; Mar. 2 &=
nbsp; Derivatives
of compositions
W Mar. 4 &=
nbsp; Derivatives
of compositions (continued)
M &n=
bsp; Mar. 9 &n=
bsp; Rev=
iew
W Mar. 11 =
Exam 1
M &n=
bsp; Mar. 16=
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nbsp; Spring Recess
W Mar. 18=
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nbsp; Spring Recess M &n=
bsp; Mar. 23=
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nbsp; Curves
in the plane W Mar. 25=
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nbsp; Path
integrals M &n=
bsp; Mar. 30=
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nbsp; Line
integrals W Apr. 1 &=
nbsp; Flux
across plane curves M &n=
bsp; Apr. 6 &n=
bsp; Dif=
ferential
forms W Apr. 8 &n=
bsp; Cal=
culus
of differential forms M &n=
bsp; Apr. 13=
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nbsp; Evaluating
2-forms: double integrals W Apr. 15=
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nbsp; Double
integrals (continued) M &n=
bsp; Apr. 20=
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nbsp; The
Fundamental Theorem of Calculus in two-dimensions W Apr. 22=
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nbsp; Change
of variables theorem M Apr. 27=
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nbsp; Review W Apr. 29=
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nbsp; Exam 2 M May
4 &=
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nbsp; Review W May<=
span
style=3D'mso-spacerun:yes'> 6 &=
nbsp; Review F =
May 15 &=
nbsp; Final Exam