MATH 406
Advanced Calculus for Engineers / Scientists II

Instructor: Professor Andrew Belmonte

Contact info: 302 McAllister Building, telephone: 865-2491, email:  belmonte@math.psu.edu

Office hours: Tues 11-12, Wed 1-2, and by appointment.

Class location: 169 Willard Bldg.

Grader:   Mee Rea Park (park@math.psu.edu).

Prerequisites: Math 405.

Web Page: http://www.math.psu.edu/belmonte/04math406.html

Required Textbook:

• Advanced Engineering Mathematics 8th edition, by E. Kreyszig (Wiley, 1999).

Additional Texts:

• Conformal Mapping by Z. Nehari (out of print, but will be available in the PSU bookstore).
• or any supplementary text on complex variables

In this class we will talk about imaginary numbers, which are multiples of the square root of -1, and more generally complex numbers, which are combinations of real and imaginary numbers. As abstract as this may sound, it is quite important to a number of applications, including circuit theory, fluid dynamics, electromagnetism, and signal processing, to name a few. Among the topics we will cover are: analytic functions, contour integration, sequences and series, residues, conformal mappings, and transforms.

The structure of the course will follow Chapters 12-16 (Part D) of the text. We will in particular focus on the calculus of functions of a single complex variable.

Midterm I:   Friday, February 20th (in class).

Midterm II:   Friday, April 2nd (in class).

Final Exam:   Friday, May 7th, 12:20-2:10 PM (109 Osmond ).