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.

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Textbook

Dennis G. Zill and Warren S. Wright ; Advanced Engineering Mathematics (fourth edition); Jones and Bartlett, 2010; (ISBN# 0-7637-7600-0)

The fourth edition was adopted in Fall 2010. Except for the typesetting, the parts of the book normally used in this course (including the homework problems and their numbering) are the same as in the the third edition, which 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 introduce boundary value problems 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.

Spring 2012 Schedule

Instructor	Type	Index	Section	Day(s)/ Period	Time	Room (click for map)	Campus
Tumulka, Roderich	L	67265	1	MW4	1:40 PM - 3:00 PM	SEC-211	BUS
Irvine, William	L	60388	2	MW5	3:20 PM - 4:40 PM	SEC-204	BUS
Gindikin, Simon	L	71859	3	MTh2	10:20 AM - 11:40 AM	SEC-205	BUS
Speer, Eugene	L	66795	6	TF2	10:20 AM - 11:40 AM	ARC-204	BUS
Martinazzi, Luca	L	70708	7	TF3	12:00 PM - 1:20 PM	SEC-210	BUS
Nikolaev, Evgeni	L	63148	8	TTh8	8:10 PM - 9:30 PM	SEC-210	BUS

Spring 2012 Course Pages

Fall 2011 Course Pages

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• Sec. 01. Prof. Balaban
• Sec. 02. Prof. Y.-Z. Huang
• Sec. 03. Prof. Gindikin
• Sec. 04. Prof. Gindikin
• Sec. 06 Prof. Rodney

• Sec. 01. Prof. Gindikin
• Sec. 02. Prof. Petrie
• Sec. 03. Prof. Irvine
• Sec. 04. Prof. Tumulka
• Sec. 05. Prof. Wheeden

Summer

• Sec. C6. E. Osorio

Spring

• Sec. 01 Prof. Bumby
• Sec. 02 Prof. Bumby
• Sec. 03 Prof. Tumulka
• Sec. 05: Prof. Rodney

• 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.

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Archive:

Sections before Fall 2006

Notes for Instructors

Comments and corrections by Peter Landweber for the 3rd edition of the text.

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