im01.qxd
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Part A. ORDINARY DIFFERENTIAL EQUATIONS (ODEs)
CHAPTER 1 First-Order ODEs
Major Changes
There is more material on modeling in the text as well as in the problem set. Some additions on population dynamics appear in
im02.qxd
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CHAPTER 2
Second-Order Linear ODEs
Major Changes
Among linear ODEs those of second order are by far the most important ones from the viewpoint of applications, and from a theoretical standpoint they illustrate
im04.qxd
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CHAPTER 4 Systems of ODEs. Phase Plane. Qualitative Methods
Major Changes
This chapter was completely rewritten in the previous edition, on the basis of suggestions by instructors who have taught from it and my o
im03.qxd
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CHAPTER 3
Higher Order Linear ODEs
This chapter is new. Its material is a rearranged and somewhat extended version of material previously contained in some of the sections of Chap 2. The rearrangement is such t
Dr. H. Khanal
Spring 2008
MA 441.01
Sample Test #3
(SOLUTION)
! Read each problem carefully before attempting a solution. Show all work to justify
your answers. Answer alone carries no credit. Partial credit only for significant progress
towa
Dr. H. Khanal
Spring 2008
MA 441.01
Final Exam
(SAMPLE)
Name: ID#:
! Read each problem carefully before attempting a solution. Show all work to justify your
answers. Answer alone carries no credit. Partial credit only for significant progress t
Dr. H. Khanal
Spring 2008
MA 441 Solved Problems #10. Stokes's Theorem 1. Integrate the surface integral directly. Then check the result by integrating the corresponding line integral in the Stokes's theorem. F n dA =
S C
F r (s) ds
Sol. Here
Dr. H. Khanal
Spring 2008
MA 441
Sample Test #1
(SOLUTION)
! Read each problem carefully before attempting a solution. Show all work to justify
your answers. Answer alone carries no credit. Partial credit only for significant progress towards a
Dr. H. Khanal
Spring 2008
MA 441.03
Sample Test #2
(SOLUTION)
! Read each problem carefully before attempting a solution. Show all work to justify your
answers. Answer alone carries no credit. Partial credit only for significant progress towards