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#22747      Math. 311 Section 1- Syllabus & Assignments
            Class has moved to Humanities 428 
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              Updated: Thu Sep 14 13:01:27 MDT 2006
This syllabus will be regularly updated to reflect actual class pace.

 Only problems marked by (*) should be turned in. 
Homework problems assigned during a lecture will be due at the 
START of the following lecture. No late homework accepted for any
reason. Solutions to (*) problems will be posted promptly.

 Problems that are assigned during any week not marked by (*) 
are possible exam picks.
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			WEEK 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)
(turn in on Tuesday, Aug. 29--will complete covering on thursday)
 2( 8/24) Equations of lines
	  Sec. 1.8
          p.29, 1.8(1*,3,8,9*,10,18)
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			WEEK 2
 3( 8/29) Dot Product, Cross product. 
          Equations of planes, Orientation. 
	  Sec. 1.(9-12)
          p.34, 1.9(3,4,11,13*)
          p.38, 1.10(1,2*,3,,4*,13*,14)
          p.51, 1.12(2,3*,5,11*)
 4( 8/31) Vector algebraic identities.
	  Sec. 1.(12-14)
          p.51, 1.12(19, 20, 21*, 23*,24*,26,27)
          p.57, 1.13(2*,3,6*,7)
          p.60, 1.14(6,7,11*)
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			WEEK 3
 5( 9/05) Curves. Arclength. Tangents and velocity.
	  Sec. 2.(1-2)
          p.70, 2.1(1*,2,3*)
          p.85, 2.2(1,2,3*,5*)
 6( 9/07) 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* )
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			WEEK 4
 7( 9/12) Gradients and level lines.
	  Sec. 3.1
          p.112(1*,2,3,9*,10,13,14*,20,24*)
 8( 9/14) Flow lines. 
          Sec. 3.(2)
          p.117, 3.2(2*,3)
          Divergence and flow tubes.
	  Sec. 3.(3)
          p.124, 3.3(4*,5,6*,8))
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			WEEK 5
 9( 9/19) Curl and vorticity.
	  Sec. 3.(4)
          p.132, 3.4(1,2,3,4*,9*,10*)
          Laplacian.
	  Sec. 3.(5-6)
          p.140, 3.6(4*,5)
10( 9/21) Vector differential identities.  Review.
	  Sec. 3.(8)
          p.150, 3.8(6*,9*,10<a,b*,e,g,h*,i>,11,12*)
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		WEEK 6
11( 9/26) exam 1
(based on the material covered by homeworks 1-9)
One page of notes allowed.
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               Evolving below this line!
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12( 9/28) Line integrals. Domains.
	  Sec. 4.(1-2)
          p.190, Sec.4.1(5*,6*,7*,8*,9,10,13)
          p.196, Sec.4.2(2*,4,5*,6*,8,10)
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			WEEK 7
13(10/03) Scalar potentials; conservative and irrotational fields.
          Solenoidal 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*),3*,8,9(a*,b*),10) 
14(10/05) Scalar and vector potentials: two-dimensional fields
          p.222, Sec.4.5(2,4*,9(a,b*,c*),10*) 
          Sec. 3.10, p.169 (1*,2*,4*)
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			WEEK 8
15(10/10) Curvilinear coordinates
          Read Sec. 3.10, p.154-155 and p.162-164
          p.170, Sec. 3.10(1*, 2, 4*, 6*,8(a,b*),11*,12)
          p.181, Sec. 3.11(6,12*,14)        (Hw #15 due Tue.10/17)
  (10/12 -10/13:  FALL BREAK       )
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			WEEK 9
16(10/17) Oriented surfaces.
	  Sec. 4.(6) p.236(1,2*,3,4*,5*,6*) 
17(10/19) Surface integrals 
          Sec. 4.(7) p.246(2(c*,d*,g),3,4*,5,11*,12,14*,15,16*,20,21)
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			WEEK 10
18(10/24) Volume integrals.
	  Sec. 4.(8)
          p.256 (3*,5*,6*)   (Hw #18 due Tue. 10/31)
19(10/26) EXAM 2   (Material from homeworks 10-17)
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			WEEK 11
20(10/31) Introduction to Divergence and Stokes theorems
          Sec. 4.(9)  p.262(3(a,b*),5,9,10*,11*,17*)
21(11/02) Introduction to Divergence and Stokes theorems
          Sec. 4.(9)  p.262(7,8*,12*,13,14*,16*)
          Divergence theorem. 
	  Sec. 5.(1) p.277, (6*,7*,8*,9*,10)
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			WEEK 12
22(11/07) Green's theorem, Stokes' theorem.
	  Sec. 5.(4) p.294(5*,6*,7*,8,9,10*,12)
23(11/09) Stokes'theorem
	  Schaum's, p.118(18), p.129(32),p.134(67*,68*,69*)
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			WEEK 13
24(11/14) Integration-general. Green's formulas, Potential theory.
	  Sec. 5.(5) p.299(1*,2*,3*), Schaum's p.134(63*,64,65*,66)
25(11/16) 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*)
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			WEEK 14
26(11/21) The Helmholtz decomposition (5.3)
          Sec. 5.2 (1*,2*,8a*, Schaum's p.134(72,74*) )
  (11/23) THANKSGIVING BREAK
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			WEEK 15
27(11/28) Review of Stokes theorem.
28(11/30) EXAM 3   (Material from homeworks 19-26)
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29(12/05) Problems
30(12/07) Review (Identities, curves, grad-div-curl, coordinates)
          Demo: the jXB force and the field due to a current loop
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  (12/12) Cumulative Final Examination: will be held 
      at the regular classroom 
      at the officially scheduled time:         Tuesday, December 12, 7:30-9:30
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