Mathematics Department - Math 421 - Advanced Calculus for Engineering

Math 421 - Advanced Calculus for Engineering

General Information (Catalog listing)

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.


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


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.

Schedule Archives

Summer 2020 Schedule

Sample syllabus

Fall 2010


Sections before Fall 2006 The drop-down menu will give instructor information for the course since 2006.

Notes for Instructors

Comments and corrections by Peter Landweber for the 3rd edition of the text. (Similar to the 4th.)

A selection of recommended homework problems, from the 3rd edition.

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