Mathematics 421 – Advanced Calculus for Engineering
(01:640:421)
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.
(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).
Current Semester: Spring 2008
 01 Prof Bumby
 02 Prof Bumby
 03 Prof Tumulka
 05 Prof Rodney
Textbook
Dennis G. Zill and Michael R. Cullen ; Advanced Engineering Mathematics (third edition); Jones and Bartlett, 2006; (ISBN# 076374591X)
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 nonrectangular coordinate systems.
The syllabi given below are based on the second edition of Zill & Cullen. The organization of the third edition is similar.
 A syllabus used in one section in Spring 2006 is found here
 Syllabus and Homework used by one instructor in Fall 2005.
Archives
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 for Instructors
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
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