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                 Math. 311 - Syllabus & Assignments
            Modified last: Wednesday, 14 April 1999, 11:35
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This syllabus will be regularly updated to reflect actual class pace.

 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.
                 Class meets MWF 10:00-10:50
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			WEEK 1
 1( 1/20) 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( 1/22) 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)
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			WEEK 2
 3( 1/25) 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*)
 4( 1/27) 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( 1/29) Acceleration and curvature. 
	  Sec. 2.(3)
          p.95, 2.3(1,3*,4,5*,6*)
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			WEEK 3
 6( 2/01) Acceleration, curvature and torsion. ****Frenet formulas.
          Sec. 2.(3)
          p.95, 2.3(10*,13,14*,15<(abcde)*,(fghi)>, 17* )
 7( 2/03) Gradients and level lines.
	  Sec. 3.(1)
          p.112(1*,2,3,9*,10,13,14*,20,24*)
----------- Quiz  2 
 8( 2/05) Flow lines. Divergence and flow tubes.
	  Sec. 3.(2-3)
          p.117, 3.2(2*,3)
          p.124, 3.3(4*,5,6*,8))
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			WEEK 4
 9( 1/08) Curl and vorticity.
	  Sec. 3.(4)
          p.132, 3.4(1,2,3,4*,9*,10*)
10( 1/10) Laplacian.
	  Sec. 3.(5-6)
----------- Quiz  3 
11( 1/12) 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*)
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			WEEK 5
12( 2/15) No Lecture 
13( 2/17) Line integrals. 
	  Sec. 4.(1)
          p.190, Sec.4.1(5*,6*,7*,8*,9,10,13)
----------- Quiz  4
14( 2/19) Domains.
	  Sec. 4.(2)
          p.196, Sec.4.2(2*,4,5*,6*,8,10)
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			WEEK 6
15( 2/22) 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*))
(Turn this assignment in on Friday; but mark it as #15!)
16( 2/24) Irrotational fields. Solenoidal fields.
	  Sec. 4.(4,5)
          p.212 4.4(3*,8,9(a*,b*),10) (Due Monday, March 1)
17( 2/26) Vector potentials and solenoidal fields.
	  Sec. 4.(5)
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			WEEK 7
18( 3/ 1) Scalar and vector potentials-2 dimensional fields
          p.222, Sec.4.5(2,4*,9(a,b*,c*),10*) (Due Friday, March 5)
19( 3/ 3) 2 dimensional fields 
----------- Quiz  6 
20( 3/ 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*)
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			WEEK 8
21( 3/ 8) Curvilinear coordinates.
          Sec. 3.(11) (no homework-read Sec. 3.11)
22( 3/10) Curvilinear coordinates
          p.170, Sec. 3.10(6*,8(a,b*),11*,12*)
          p.181, Sec. 3.11(6,12*,14)
----------- Quiz  7
23( 3/12) Oriented surfaces.
	  Sec. 4.(6) p.236(1,2*,3,4*,5*,6*)  due: Wed., 3/24
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  ( 3/14 - 3/21:  SPRING BREAK       )
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			WEEK 9
24( 3/22) Oriented surfaces.
	  Sec. 4.(6)
          Surface integrals.
	  Sec. 4.(7)
25( 3/24) Surface integrals.
	  Sec. 4.(7)
26( 3/26) Problems
          Sec. 4.(7) p.246(2(c*,d*,g),3,4*,5,11*,14*,18*)
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			WEEK 10
27( 3/29) Volume integrals.
	  Sec. 4.(8)
          p.256 (3*,5*,6*) (due Friday)         
28( 3/31) Introduction to Divergence and Stokes theorems
          Sec. 4.(9) 
----------- Quiz 9 
29( 4/ 2) Divergence theorem. 
	  Sec. 5.(1) p.277, (6*,7*,8*,9*,10)
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			WEEK 11
30( 4/ 5) ****Solution of the Laplace and Poisson equations.
	  Sec. 5.(2)
31( 4/ 7) Green's theorem.
	  Sec. 5.(4) p.294(5*,6*,7*,8,9,10*,12)
----------- Quiz 10 
32( 4/ 9) Problems.
	  Sec. 5.(4)
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			WEEK 12
33( 4/12) Stokes' theorem.
	  Sec. 5.(5) p.299(1*,2*,3*), Schaum's p.134(63*,64,65*,66)
34( 4/14) Problems
	  Sec. 5.(5) Schaum's, p.118(18),p.129(32),p.134(67*,68*,69*)
35( 4/16) Problems.
	  Sec. 5.(5) Schaum's, p.132(40*,41,42*,52*,54*,74*), Text,p.247,(16*)
          (due: 4/21)
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			WEEK 13
36( 4/19) Review-Integration 
37( 4/21) Review-Integration
38( 4/23) ----------- Quiz 11/12 
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			WEEK 14
39( 4/26) Vectors and matrices
	  Sec. 5.(7)
40( 4/28) Matrices and transformations.
	  Sec. 5.(7)
41( 4/30) Orthogonal transformations.
	  Sec. 5.(8)
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			WEEK 15
42( 5/ 3) Review (Identities, curves, grad-div-curl)
43( 5/ 5) ----------- Quiz 14 
44( 5/ 7) Review (Integral theorems)
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----- Final Examination (Monday 5/10, 10:00-12:00, Mitchell Hall 117)
NOTE: ********* denote material that could possibly be skipped or summarized
                to allow for reviews or catch-up.
