01:640:421 - 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:  For current textbook please refer to our Master Textbook List page


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.

Sample syllabus

Schedule of Sections


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.


Disclaimer: Posted for informational purposes only

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 list.