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                 Math. 311 - Syllabus & Assignments
            Modified last: Wednesday, 12 March 2003, 09:45
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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) <No lecture: no homework due on Tuesday, 2/4 >
----------- Quiz  1
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			WEEK 3
 5( 2/04) Curves. Arclength. Tangents and velocity.
	  Sec. 2.(1-2)
          p.70, 2.1(1*,2,3*)
          p.85, 2.2(1,2,3*,5*)
          Acceleration and curvature. 
          Sec. 2.(3)
          p.95, 2.3(1,3*,4,5*,6)
 6( 2/06) Torsion.
          2.3(13,14*,15<(abcde)*,(fghi)>, 17* )
          Gradients and level lines.
	  Sec. 3.(1)
          p.112(1*,2,3,9*,10,13,14*,20,24*)
----------- Quiz  2 
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			WEEK 4
 7( 2/11) Flow lines. Divergence and flow tubes.
	  Sec. 3.(2-3)
          p.117, 3.2(2*,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*)
 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*)
----------- Quiz  3 
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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  4
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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*)
----------- Quiz  8
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			WEEK 10
19( 4/ 1) Volume integrals.
	  Sec. 4.(8)
          p.256 (3*,5*,6*) 
          Introduction to Divergence and Stokes theorems
          Sec. 4.(9) 
20( 4/ 3) Divergence theorem. 
	  Sec. 5.(1) p.277, (6*,7*,8*,9*,10)
----------- Quiz  9 
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			WEEK 11
21( 4/ 8) ****Solution of the Laplace and Poisson equations.
	  Sec. 5.(2)
22( 4/10) Green's theorem.
	  Sec. 5.(4) p.294(5*,6*,7*,8,9,10*,12)
----------- Quiz 10 
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			WEEK 12
23( 4/15) Stokes' theorem.
	  Sec. 5.(5) p.299(1*,2*,3*), Schaum's p.134(63*,64,65*,66)
	             Schaum's, p.118(18),p.129(32),p.134(67*,68*,69*)
24( 4/17) Problems.
	  Sec. 5.(5) Schaum's, p.132(40*,41,42*,52*,54*,74*), Text,p.247,(16*)
          (due: 4/24)
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			WEEK 13
25( 4/22) Review-Integration 
26( 4/24) ----------- Quiz 11/12 
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			WEEK 14
27( 4/29) Vectors, matrices and transformations.
	  Sec. 5.(7)
28( 5/ 1) Orthogonal transformations.
	  Sec. 5.(8)
----------- Quiz 13 
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			WEEK 15
29( 5/ 6) Review (Identities, curves, grad-div-curl)
30( 5/ 8) Review (Integral theorems)
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----- Final Examination (?? 5/??, ??:00-??:00, Mitchell Hall ??)
NOTE: ********* denote material that could possibly be skipped or summarized
                to allow for reviews or catch-up.
