ScheduleΒΆ

Only problems marked by (*) should be turned in. Mark each assignment by the number of the lecture during which it was assigned, and clearly list at the top of the front page your name and the problems included, identified by section and page number if they come from one of the required texts. Problems that are assigned during any week but are not marked by (*), are possible topics for the following week’s quiz.

Week Topics and assignments
1  
1( 8/22)
  • Vector algebra and geometry.
  • Sec. 1.(1-7)
  • p.14, 1.5(4*,5,9,12,13,16*)
  • p.23, 1.7(1*,2,5*,8,9*,13-24)
2( 8/24)
  • Dot product. Equations of lines and planes.
  • Sec. 1.(8-10)
  • p.29, 1.8(1*,3,8,9*)
  • p.34, 1.9(3,4,11,13*)
  • p.38, 1.10(1,2*,3,,4*,13*,14)
3( 8/26)
  • Cross product. Orientation. Vector algebraic identities.
  • Sec. 1.(11-14)
  • p.51, 1.12(2,3*,5,11*,19,20,21*)
  • p.57, 1.13(2*,3,6*,7)
  • p.60, 1.14(6,7,11*)
2  
4( 8/29)
  • Curves. Arclength. Tangents and velocity.
  • Sec. 2.(1-2)
  • p.70, 2.1(1*,2,3*)
  • p.85, 2.2(1,2,3*,5*)
  • Quiz 1
5( 8/31)
  • Acceleration and curvature.
  • Sec. 2.(3)
  • p.95, 2.3(1,3*,4,5*,6*)
6( 9/2)
  • Acceleration, curvature and torsion.
  • Sec. 2.(3)
  • p.95, 2.3(10*,13,14*,15<(abcde)*,(fghi)>, 17*)
3  
(9/5)
  • LABOR DAY
7( 9/7 )
  • Gradients and level lines.
  • Sec. 3.(1)
  • p.112(1*,2,3,9*,10,13,14*,20,24*)
  • Quiz 2
8( 9/9)
  • Flow lines. Divergence and flow tubes.
  • Sec. 3.(2-3)
  • p.117, 3.2(2*,3)
  • p.124, 3.3(4*,5,6*,8)
4  
9(9/12)
  • Curl and vorticity.
  • Sec. 3.(4)
  • p.132, 3.4(1,2,3,4*,9*,10*)
10(9/14)
  • 10( 1/10) Laplacian.
  • Sec. 3.(5-6)
  • Quiz 3
11(9/16)
  • Vector differential identities.
  • Sec. 3.(8)
  • p.140, 3.6(4*,5)
  • p.150, 3.8(6*,9*,10<a,b*,e,g,h*,i>,11,12*)
5  
12( 9/19)
  • Line integrals.
  • Sec. 4.(1)
  • p.190, Sec.4.1(5*,6*,7*,8*,9,10,13)
  • Quiz 4
13( 9/21)
  • Domains.
  • Sec. 4.(2)
  • p.196, Sec.4.2(2*,4,5*,6*,8,10)
14( 9/23)
  • Scalar potentials conservative and irrotational fields.
  • Sec. 4.(3,4)
  • p.204 4.3(2(a,b,c,d,e),4*,5*,6*,7)
  • p.212 4.4(1(a*,b,c*,d,e*))
6  
16( 9/26)
  • Irrotational fields. Solenoidal fields.
  • Sec. 4.(4,5)
  • p.212 4.4(3*,8,9(a*,b*),10)
17( 9/28)
  • Vector potentials and solenoidal fields.
  • Sec. 4.(5)
  • Scalar and vector potentials-2 dimensional fields
  • p.222, Sec.4.5(2,4*,9(a,b*,c*),10*)
18( 9/30)
  • EXAM 1
7  
19(10/3)
  • 2 dimensional fields
  • Quiz 6
20(10/5)
  • Curvilinear coordinates.
  • Sec. 3.(11)
  • Read Sec. 3.10, p.154-155 and p.162-164
  • Sec. 3.10, p.169 (1*,2*,4*)
21(10/7)
  • Curvilinear coordinates.
  • Sec. 3.(11) (no homework-read Sec. 3.11)
8  
22(10/10)
  • Curvilinear coordinates
  • p.170, Sec. 3.10(6*,8(a,b*),11*,12*)
  • p.181, Sec. 3.11(6,12*,14)
  • Quiz 7
23(10/12)
  • Oriented surfaces.
  • Sec. 4.(6) p.236(1,2*,3,4*,5*,6*)
(10/14)
  • Fall break
9  
24(10/17)
  • Oriented surfaces.
  • Sec. 4.(6)
  • Surface integrals.
  • Sec. 4.(7)
25(10/19)
  • Surface integrals.
  • Sec. 4.(7)
26(10/21)
  • Problems
  • Sec. 4.(7) p.246(2(c*,d*,g),3,4*,5,11*,14*,18*)
10  
27(10/24)
  • Volume integrals.
  • Sec. 4.(8)
  • p.256 (3*,5*,6*)
28(10/26)
  • Introduction to Divergence and Stokes theorems
  • Sec. 4.(9)
  • Quiz 9
29(10/28)
  • Divergence theorem.
  • Sec. 5.(1) p.277, (6*,7*,8*,9*,10)
11  
30(10/21)
  • Solution of the Laplace and Poisson equations.
  • Sec. 5.(2)
31(11/2)
  • Green’s theorem.
  • Sec. 5.(4) p.294(5*,6*,7*,8,9,10*,12)
  • Quiz 10
32(11/4)
  • Problems.
  • Sec. 5.(4)
12  
33(11/7)
  • Stokes’ theorem.
  • Sec. 5.(5) p.299(1*,2*,3*),
  • Schaum’s p.134(63*,64,65*,66)
34(11/9)
  • Problems
  • Sec. 5.(5),
  • Schaum’s p.118(18),p.129(32),p.134(67*,68*,69*)
35(11/11)
  • Problems.
  • Sec. 5.(5) Schaum’s, p.132(40*,41,42*,52*,54*,74*)
  • Text,p.247,(16*)
13  
36(11/14)
  • Review-Integration
37(11/16)
  • Review-Integration
38(11/18)
  • Quiz 11/12
14  
39(11/21)
  • Vectors and matrices
  • Sec. 5.(7)
40(11/23)
  • Matrices and transformations.
  • Sec. 5.(7)
41(11/25)
  • Orthogonal transformations.
  • Sec. 5.(8)
15  
42(11/28)
  • Review (Identities, curves, grad-div-curl)
43(11/30)
  • Quiz 14
44(12/2)
  • Review (Integral theorems)