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Mathematics Department - Math 421 - Advanced Calculus for Engineering

Math 421 - Advanced Calculus for Engineering



General Information (Catalog listing)

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.

Covers 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).

NOTES: CALC4 (Differential Equations) means Math 244, 252, or 292.
Math 423 is Elementary Partial Differential Equations. It covers similar material to Math 421, but is aimed at students majoring in Mathematics or Physics, rather than Engineering students.


Textbook

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.


Syllabus

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 are based on the second edition of Zill & Cullen. They remain relevant since the third edition introduced no major changes in organization. Older links refer to different textbooks; the choice of topics is similar.

Schedule Archives

Fall 2009 Schedule

InstructorType Index Section Day(s)/
Period
Time Room
(click for map)
Campus
Gindikin, Simon L 31020 01 MTh2 10:20 AM - 11:40 AM SEC-212 BUS
Gindikin, Simon L 25208 02 MTh3 12:00 PM - 1:20 PM SEC-216 BUS
Soffer, Avraham L 28040 03 TTh4 1:40 PM - 3:00 PM SEC-217 BUS
Petrie, Ted L 28891 04 TF2 10:20 AM - 11:40 AM SEC-218 BUS
Soffer, Avraham L 20417 06 TTh7 6:40 PM - 8:00 PM SEC-205 BUS




Previous semesters
20092008 2007
Fall
  • Sec. 01. Prof. Gindikin
  • Sec. 02. Prof. Petrie
  • Sec. 03. Prof. Irvine
  • Sec. 04. Prof. Tumulka
  • Sec. 05. Prof. Wheeden
Summer
Spring
  • 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.
Older sections


Notes for Instructors

Notes on the text, by Peter Landweber.



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This page was last updated on August 26, 2009 at 12:55 pm and is maintained by ugvc@math.rutgers.edu.
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