MTH 301 (601): Vector Analysis
Dr. Elmer K. Hayashi
 Fall 2003
Assignments

Aug 27-29 Sep 1-5 Sep 8-12 Sep 15-19 Sep 22-26
Sep 29-Oct 3 Oct 6-10 Oct 13-17

Textbook: Erwin Kreyszig, Advanced Engineering Mathematics, 8th Edition
Wed, 08/27/2003. Vectors.
Review vectors and the fundamental operations on vectors including the inner or dot product and its applications.
Read sections 8.1-8.2.
Do 26, 32 in problem set 8.1 and 4, 14, 18, 20 in problem set 8.2 to turn in on Friday. For more practice, do odd numbered problems in these two sections and check answers with those on page A20.
 
Fri, 08/29/2003. Vector or Cross Product.
Review the vector or cross product and the scalar triple product and their applications.
Read section 8.3.
Do 26, 34 in problem set 8.2, and 4, 16, 22, 26, 32 in problem set 8.3 to turn in on Monday.
Mon, 09/01/2003. Vector and Scalar Functions.
Read section 8.4.
Do 20, 28 in problem set 8.3, and 2(do f=36 and f=144), 20, 22, 26, 28, 30 in problem set 8.4. to turn in on Wednesday.
Maple Worksheet: Plotting surfaces using plot3d
Maple Worksheet: Plotting level sets using plot3d"
 
Wed, 09/03/2003. Curves and Tangents, Arc Length.
Read section 8.5.
Do problems 4, 7, 10, 24, 26, 28 in section 8.5 to turn in on Friday.
 
Fri, 09/05/2003. Chain Rule and Gradient.
Read section 8.8 and 8.9 (examples 1 and 2).
Do problems 4, 6, 8 in 8.8 and 4, 6, 10, 14, 20 in 8.9 to turn in on Monday.
Mon, 09/08/2003. Directional Derivative and Divergence.
Read section 8.9, and begin 8.10.
Do problems 22, 23, 24, 32, 34 in section 8.9, and problems 6 and 8 in section 8.10 to turn in Wednesday.
 
Wed, 09/10/2003. Divergence of a Vector Function.
Read section 8.10.
Do 9df, 14, 16, 19 in section 8.10 to turn in on Firday.
 
Fri, 09/12/2003. Curl of a Vector Function.
Read section 8.11.
Do problems 2, 6, 8, 12, 14bd, 20 in section 8.11 to turn in Monday, and begin reviewing for next Friday's exam.
Mon, 09/15/2003. Line Integrals.
Some practice problems for the exam on Friday:
sec. 8.1: 31, sec. 8.2: 13, 19, 25, 33,
sec. 8.3: 21, 25, 27, 29, sec. 8.4: 3, 7, 19, 23
sec. 8.8: 5, 7, sec. 8.9: 1, 7, 17, 29, 33
 
Wed, 09/17/2003. Review.
Review Chapter 8.
 
Fri, 09/19/2003. First Hour Exam.
The exam will cover sections 8.1-8.5, 8.8-8.11.
Mon, 09/22/2003. Line Integrals, Independence of Path.
Study definition (3) and (3'), example 3, and properties 8abc in section 9.1, and Theorem 2 in section 9.2.
Do problems 2 and 8 in section 9.1 and problems 2, 8, 12, 14 in section 9.2 to turn in on Wednesday.
 
Wed, 09/24/2003. Double Integrals.
Read section 9.3.
Do problems 3, 4, 6, 12, and 16 in section 9.3 to turn in on Friday.
 
Fri, 09/26/2003. Green's Theorem.
Study Theorem 1 in section 9.4.
Do 2, 4, 6, 10, 12 in section 9.4 to turn in Monday.
Mon, 09/29/2003. Double Integrals and Surfaces.
Review section 9.3 and read section 9.5
Do 4 and 24 in section 9.5 and problems in homework sheet in pdf format to turn in on Wednesday.
 
Wed, 10/01/2003. Parametrization of Surfaces.
Study section 9.6 and examples done in class.
Do 6, 12, 14, 16, 18, 26, 28 in section 9.5 to turn in Friday.
 
Fri, 10/03/2003. Surface Integrals.
Study examples 1, 2, 3, and 5 in section 9.6.
Do problems 2, 6, 10, 12, 16, 17 in section 9.6 to turn in Monday.
Mon, 10/06/2003. Triple Integrals and the Divergence Theorem.
Read section 9.7.
Do problems 2, 4, 16, 17 in section 9.7 to turn in Wednesday.
For more practice, try 3, 5, 7 in section 9.7.
 
Wed, 10/08/2003. Stokes Theorem.
Do problems 3, 4, 5 in section 9.8 and problem 2 in section 9.9 to turn in Friday.
 
Fri, 10/10/2003. Review.
Review line integrals, independence of path, double integrals, Green's Theorem, surface integrals, the Divergence Theorem, and Stokes' Theorem for the exam next Wednesday.
Do 3, 7, 9, 11, 13 in section 9.9 for practice.
Mon,10/13/2003. Review.
Review Chapter 9 (and 8).
 
Wed, 10/15/2003. Final Exam.
The exam will focus on topics from chapter 9, but will also require skills learned in chapter 8.
 
Fri, 10/17/2003. Fall Break.
No Class.

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Created 07/01/2003. Last modified 10/13/2003. Email to ekh@wfu.edu