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                 Math. 311 - Syllabus & Assignments
            Modified last: Tuesday, 29 April 2003, 23:10
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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.
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			WEEK 1
 1( 1/21) 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( 1/23) 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( 1/28) 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( 1/30) 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
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			WEEK 3
 5( 2/04) Acceleration, curvature and torsion. ****Frenet formulas.
          Sec. 2.(3)
          p.95, 2.3(1,3*,4,5*,6,10,13,14*,15<(abcde)*,(fghi)>, 17* )
 6( 2/06) Gradients and level lines.
	  Sec. 3.(1)
          p.112(1*,2,3,9*,10,13,14*,20,24*)
          Flow lines. 
	  Sec. 3.(2)
          p.117, 3.2(2*,3)
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			WEEK 4
 7( 2/11) Divergence and flow tubes.
	  Sec. 3.(3)
          p.124, 3.3(4*,5,6*,8))
          Curl and vorticity.
	  Sec. 3.(4)
          p.132, 3.4(1,2,3,4*,9*,10*)
----------- Quiz  2 
           (material from week 2 as well as lect. 5)
 8( 2/13) Laplacian.
	  Sec. 3.(5-6)
          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
 9( 2/18) Line integrals. 
	  Sec. 4.(1)
          p.190, Sec.4.1(5*,6*,7*,8*,9,10,13)
10( 2/20) Domains.
	  Sec. 4.(2)
          p.196, Sec.4.2(2*,4,5*,6*,8,10)
----------- Quiz  3-4 (1/2 hour, over lect. 6-7-8)
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			WEEK 6
11( 2/25) 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*))
12( 2/27) Irrotational fields. Solenoidal fields. 
	  Sec. 4.4
          p.212 4.4(3*,8,9(a*,b*),10) 
----------- Quiz  5 
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			WEEK 7
13( 3/ 4) Scalar and vector potentials-2 dimensional fields
          p.222, Sec.4.5(2,4*,9(a,b*,c*),10*) 
14( 3/ 6) Curvilinear coordinates.
	  Sec. 3.(11)
          Read Sec. 3.10, p.154-155 and p.162-164
          Sec. 3.10, p.169 (1*,2*,4*)
----------- Quiz  6 
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			WEEK 8
15( 3/11) Curvilinear coordinates
          p.170, Sec. 3.10(6*,8(a,b*),11*,12*)
          p.181, Sec. 3.11(6,12*,14)
16( 3/13) Oriented surfaces.
	  Sec. 4.(6) p.236(1,2*,3,4*,5*,6*) (due Thu. 3/27) 
----------- Quiz  7
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  ( 3/14 - 3/24:  SPRING BREAK       )
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			WEEK 9
17( 3/25) Oriented surfaces.
	  Sec. 4.(6)
          Surface integrals.
	  Sec. 4.(7)
18( 3/27) Surface integrals.
          Sec. 4.(7) p.246(2(c*,d*,g),3,4*,5,11*,14*,18*)
-----------    No  Quiz  8 (we'll do more surface integrals!)
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			WEEK 10
19( 4/ 1) Volume integrals.
	  Sec. 4.(8)
          p.256 (3*,5*,6*) 
20( 4/ 3) Divergence theorem. 
	  Sec. 5.(1) p.277, (6*,7*,8*,9*,10)
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			WEEK 11
21( 4/ 8) Introduction to Divergence and Stokes theorems
          Sec. 4.(9)  p.262(3(a,b*),5,9,10*,11*,17*)
22( 4/10) Introduction to Divergence and Stokes theorems
          Sec. 4.(9)  p.262(7,8*,12*,13,14*,16*)
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			WEEK 12
23( 4/15) Green's theorem, Stokes' theorem.
	  Sec. 5.(4) p.294(5*,6*,7*,8,9,10*,12)
          -----------Quiz 9 (4.6, 4.7)
24( 4/17) Problems
	  Schaum's, p.118(18), p.129(32),p.134(67*,68*,69*)
          -----------Quiz 10 (4.8, 5.1)
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			WEEK 13
25( 4/22) Integration-general.
	  Sec. 5.(5) p.299(1*,2*,3*), Schaum's p.134(63*,64,65*,66)
          -----------Quiz 11 (4.9)
26( 4/24) Potential integrals (5.2).  The Helmholtz decomposition (5.3)
	  Sec. 5.(5) Schaum's, p.132(40*,41,42*,52*,54*,(74)), Text,p.247,(16*)
      Problem set 26, Problem 74, Schaum's p. 134
     This problem was assigned by mistake. It requires material in section 
     5.2 (Green's formulas, especially the 3rd) which will not be assumed
     known until after Lecture 27. It will be turned in with the next assignment
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			WEEK 14
27( 4/29) Potential theory
   Not required! <Sec. 5.2 (1*,2*,8a*, Schaum's p.134(72,74*) )>
28( 5/ 1) Electromagnetism: relations involving Stokes' and Divergence Theorems
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			WEEK 15
29( 5/ 6) Review (Integral theorems)
          Demo: the jXB force and the field due to a current loop
          ----------- Quiz 12 (on Green's, Stokes' and Divergence theorems)
30( 5/ 8) Review (Identities, curves, grad-div-curl, coordinates)
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----- Final Examination (Tuesday 5/13/03, 12:30-14:30, Mitchell Hall 107)
