- General Information
- Sample Syllabus
- Sections Taught This Semester
- Notes for Instructors
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.
Schedule of Sections
- Fall 2010
- Spring 2006: Professor Bumby's section
- Fall 2005: Professor Greenfield's section (HW, Syllabus)
- Spring 2004: Komorova and Greenfield.
- Fall term 2003. List of sections. No individual section pages were produced.
- Fall term 2002. Details from Fall 2002, three sections, with web pages for two.
- Spring term 2001. Details from Spring 2001, two sections.
- Spring term 1999. Previous course page based on a syllabus provided by Dr. R. Doran.
- Spring term 1996. Some differences from the syllabus here are due to an earlier edition of the textbook being used at that time
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.