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Math 107=
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Spring 2011
Tentative Schedule of Topics,
Presentations and Examinations
Date &=
nbsp; &nbs=
p; Topic
W Jan 19 =
span>n-Dimensional Euclidean Space
F &=
nbsp; Jan 21 =
span>Spans,
lines and planes
M &n=
bsp; Jan 24 =
span>Dot
product and Euclidean norm
W Jan 26 =
span>Orthogonality and projections
F &=
nbsp; Jan 28 =
span>The cross product
M &n=
bsp; Jan 31 Func=
tions
on Euclidean space
W Feb 2 Open
subsets of Euclidean space
F &=
nbsp; Feb 4 Continuous
functions
M &n=
bsp; Feb 7 Continuous
functions (continued)
W Feb 9 Limits
and continuity
F &=
nbsp; Feb 11 &=
nbsp; Differentiability
M &n=
bsp; Feb 14 &=
nbsp; The
derivative map
W Feb 16 &=
nbsp; The
derivative map (continued)
F &=
nbsp; Feb 18 &=
nbsp; Sufficient
conditions for differentiability
M &n=
bsp; Feb 21 &=
nbsp; Sufficient
conditions for differentiability (continued)
W Feb 23 &=
nbsp; Derivatives
of compositions
F &=
nbsp; Feb 25 &=
nbsp; Derivatives
of compositions (continued)
M &n=
bsp; Feb 28=
P=
roblems
W Mar 2 &=
nbsp; Review
F &=
nbsp; Mar 4 &=
nbsp; Exam 1
M &n=
bsp; Mar 7 &=
nbsp; Path
integrals
W Mar 9 &=
nbsp; Path
integrals (continued) &nbs=
p;
F &=
nbsp; Mar
11 &=
nbsp; Li=
ne
integrals
M &n=
bsp; Mar 14 &=
nbsp; Spring Recess
W Mar 16 &=
nbsp; Spring Recess
F &=
nbsp; Mar 18 &=
nbsp; Spring Recess
M &n=
bsp; Mar 21 &=
nbsp; Gradient
fields
W Mar 23 &=
nbsp; Flux
across plane curves
F &=
nbsp; Mar 25 &=
nbsp; Cesar Chavez Day (observed)
M &n=
bsp; Mar 28 &=
nbsp; Differential
forms
W Mar 30 &=
nbsp; Calculus
of differential forms
F &=
nbsp; Apr 1 Calculus
of differential forms (continued)
M &n=
bsp; Apr 4 Evaluating 2-forms: Double integrals
W Apr 6 Green’s
Theorem
F &=
nbsp; Apr 8 Fundamental
Theorem of Calculus in two dimensions
M &n=
bsp; Apr 11 C=
hange
of variables Theorem
W Apr 13 C=
hange
of variables Theorem (continued)
F &=
nbsp; Apr 15 T=
riple
integrals
M &n=
bsp; Apr 18 S=
urface
integrals
W Apr 20 S=
urface
integrals (continued)
F =
Apr 22 <=
/span>Stokes’ Theorem
M &n=
bsp; Apr 25 P=
roblems
and examples
W Apr 27 R=
eview
F &=
nbsp; Apr 29 <=
b>Exam
2
M &n=
bsp; May 2 Review
W May 4 Review
Th<=
span
style=3D'mso-tab-count:1'> May
12  =
; Final Examination=