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421 Sample Homework

Here are some problems from the third edition of Advanced Engineering Mathematics by Dennis G. Zill and Michael R. Cullen that are suitable for this course. Sources for this list include a list prepared for the Fall 2006 semester by Professor Landweber, problems used in Fall 2007 by Professor Wheeden, problems used in Spring 2006 by Profesor Bumby, and problems used in Fall 2005 by Professor Greenfield. The latter two lists were prepared for the second edition, but comparable (or, sometimes, identical) problems in the third edition are given here. Sections are listed here in the order in which they appear in the textbook.

There is more material here than will probably be covered in the semester course, so it will be up to your instructor to select the sections to be covered, and the order in which they are covered. It is also up to individual instructors to select the homework problems featured in their sections.

SectionProblems
Ch. 3: Higher Order Diff. Eqs.
3.9 11, 13, 15, 17, 21.
Ch. 4: The Laplace Transform
4.1 1, 5, 7, 12, 13, 23, 24, 26, 35, 39, 41, 42.
4.2 7, 8, 11, 13, 23, 24, 26, 31, 32, 34, 35, 36, 39.
4.3 2, 3, 6, 7, 9, 11, 13, 15, 18, 19, 24, 37, 38, 41, 45, 47, 49–54, 64, 65, 67.
4.4 2, 3, 5, 6, 7, 9, 11, 12, 13, 14, 18, 19, 21, 23, 24, 27, 28, 31, 33, 37, 39, 41, 49, 51, 52, 53.
4.5 1, 2, 3, 5, 6, 9, 15.
4.6 1, 2, 6, 7, 9, 10, 11.
Ch. 5: Power Series Solutions
5.3 45, 46, 47.
Ch. 7: Vectors
7.7 3, 9, 13.
Ch. 8: Matrices
8.1 17, 23, 29, 35, 37, 46a,c.
8.2 5, 9, 11, 27, 39, 41.
8.3 9, 13, 15, 17, 19.
8.4 19, 21, 25, 27, 29.
8.5 5, 11, 13, 23, 31, 33, 34.
8.6 7, 21, 25, 27, 31, 43, 51, 53.
8.7 1, 9.
8.8 5, 13, 19.
8.10: 7, 13, 15.
8.12 5, 13, 15, 23, 37, 39.
8.15 1, 7.
Ch. 9: Vector Calculus
9.5 2, 6.
9.7 8, 12, 38.
Ch. 12: Orthogonal Functions; Fourier Series
12.1 3, 7, 8, 17, 23.
12.2 1, 2, 5, 8, 9, 10, 15, 17, 21.
12.3 2, 3, 5, 6, 7, 8, 13, 19, 20, 23, 29, 35.
12.4 1, 5.
12.5 1, 5, 8, 10, 13.
12.6 15, 17, 19.
Ch. 13: (Rectangular) Boundary Value Problems
13.1 3, 4, 11, 15.
13.2 1, 3, 5, 7, 9, 11.
13.3 1, 2, 3, 4.
13.4 1, 2, 3, 5, 6, 7, 12, 13, 15, 16.
13.5 4, 5, 7, 15, 16; Extra problems: A, B.
13.6 10, 12.
13.7 10a, 11a.
13.8 1, 2, 3.
Ch. 14: Other Boundary Value Problems
14.1 1, 2, 3, 7, 10, 11.
14.2 2, 10.
14.3 1, 3.
Ch. 15: Integral Transform Method
15.1 1, 2, 7.
15.2 5, 9.
Appendices
Appendix II 1, 6.

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