We ek 
Date  Lec ture 
Contents 
1  1231 

0102  L01 
outline §13.1 vector functions 

0104  L02  §13.1 space curves 

2  0107  L03  §13.1 more examples §13.2 derivatives and tangent vectors 
0109  L04  §13.2 differentiation rules, integrals, length of a curve 

0111  L05  §13.3 arclength function and reparametrization using it, curvature 

3  0114  L06  §13.3 more on curvature, normal and binormal vectors,
normal and osculating planes 
0116  L07  §13.3 osculating plane and osculating circle 

0118  L08  §13.4 motion in space (materials beyond Example 6 are
skipped) 

4  0121  L09  §16.1 vector fields 
0123  L10  §16.2 line integrals with respect to arclength 

0125 
L11  §16.2 center of mass, line integrals with respect to x and
y 

5  0128 
L12  §16.2 line integrals in space and of vector fields 
0130 
L13  §16.3 When a line integral of vector field is independent of
path 

0201 
midterm exam 1  
6  0204 
L14  §16.3 Equivalent statements of conservative vector
fields 
0206 
L15 
§16.3 necessary and sufficient conditions
in terms of partial derivatives 

0208 
L16  §16.3 finding
potential function §16.4 Green's theorem: statement and proof 

7  0211 
Family Day  
0213 
L17  §16.4 examples for Green's theorem 

0215 
L18  §16.4 more examples §16.5 algebraic definition of curl F 

02180222  
midterm break  
8  0225 
L19  §16.5 algebraic definition of div
F, geometric meanings 
0227 
L20  §16.5 more on geometric meaning, vector forms of Green's
theorem §16.6 parametric surfaces 

0301 
L21  §16.6 more examples of parametric surfaces, tangent planes,
surface
area 

9  0304 
L22  §16.6 examples of surface area, area of graphs and surfaces
of
revolution 
0306 
L23  §16.7 surface integrals of scalar functions 

0308 
L24  §16.7 flux integral of a vector field through a surface


10  0311 
L25  §16.7 more examples 
0313 
L26  §16.7 more examples §16.8 Stokes theorem 

0315 
midterm exam 2  
11  0318 
L27  §16.8 Stokes theorem: proof and examples 
0320 
L28  §16.8 Stokes theorem: more examples 

0322 
L29  §16.8 Stokes theorem: more examples §16.9 Divergence theorem 

12  0325 
L30  §16.9 Divergence theorem: continued 
0327 
L31  §16.9 Divergence theorem: continued 

0329 
Good Friday  
13 
0401 
Easter Monday  
0403 
L32 
§16.9 Divergence theorem: an example of channel flow Final exam, review Final Exam of April 2010 

0405 
L33 
review Final Exam
of December 2011 