01:640:421. ADVANCED CALCULUS FOR ENGINEERING (3)
Primarily for mechanical engineering majors. Prerequisite: CALC4. Credit not given for both this course and 01:640:423.
(NOTES: CALC4 denotes a course in Differential Equations that is the fourth semester of a Calculus sequence. At Rutgers, these are the Math courses 244, 252, or 292. The other course mentioned, 423 , has a title of Elementary Partial Differential Equations. It includes similar topics, but is aimed at students majoring in Mathematics or Physics, rather than Engineering.)
Laplace transforms, numerical solution of ordinary differential equations, Fourier series, and separation of variables method applied to the linear partial differential equations of mathematical physics (heat, wave, and Laplace's equation).
Dennis G. Zill and Michael R. Cullen ; Advanced Engineering Mathematics (third edition); Jones and Bartlett, 2006; (ISBN# 0-763-74591-X)
The third edition was adopted in Fall 2006.
A selection of recommended homework problems, from the 3rd edition.
Individual sections may vary, but chapters 4, 12 and 13 should be covered in detail, supplemented with a treatment of linearity including a review of Vector Calculus from Part 2. If time permits, Chapter 14 will be introduced to apply the study of boundary value problems to problems described in non-rectangular coordinate systems.
The syllabi from 2005 and 2006 in the Archives below are based on the second edition of Zill & Cullen. They remain relevant since the third edition introduced no major changes in organization. Older links would be less useful since they refer to different textbooks, although the choice of topics is similar.
| Previous semesters | |||||
|---|---|---|---|---|---|
| Fall 2007 | Sec. 01. Prof. Gindikin | Sec. 02. Prof. Petrie | Sec. 03. Prof. Irvine | Sec. 04. Prof. Tumulka | Sec. 05. Prof. Wheeden |
| Spring 2007 | Sec. 1 Professor Irvine MW4 in SEC 211. |
Sec. 2 Professor Li MW5 in SEC 204. |
Sec. 3 Professor Han TF3 in SEC 204. |
Sec. 5 Professor Soffer TTh8 in SEC 210. |
|
| Spring 2006 | Professor Bumby's section | ||||
| Fall 2005 | Professor
Greenfield's section (HW, Syllabus) |
||||
Notes on the text, by Peter Landweber.
Comments on this page should be sent to: R. T. Bumby
Last updated: January 09, 2007 by R. T. Bumby
This material is posted by the faculty of the Mathematics Department at Rutgers New Brunswick for informational purposes. While we try to maintain it, information may not be current or may not apply to individual sections. The authority for content, textbook, syllabus, and grading policy lies with the current instructor.
Information posted prior to the beginning of the semester is frequently tentative, or based on previous semesters. Textbooks should not be purchased until confirmed with the instructor. For generally reliable textbook information—with the exception of sections with an alphabetic code like H1 or T1, and topics courses (197,395,495)—see the textbook lists for the appropriate terms: Fall or Winter, Summer.