MA 502 Advanced Mathematics for Engineers and Scientists II

A first year graduate course introducing multivariable calculus, vector analysis, line and surface integrals, integral theorems; complex function theory, complex integrals and residues; linear algebra, determinants, and matrices. The emphasis will be solution techniques of classical problems in these topic areas as a bridge to further work. Applications to engineering and science. 3 credit hours.


• Prerequisite

A course in differential equations or consent of instructor.

• Course Objectives

The student is expected to achieve proficiency in and understanding of vector differential and integral calculus, complex function theory, and linear algebra in preparation for applications in engineering and science.

In vector calculus, the student will learn vector fields, divergence, curl, Greens Theorem, Divergence Theorem, Stokes Theorem, and how to apply these topics.

In complex function theory, the student will learn complex numbers and their representations, analytic functions, complex integrals, Cauchy's Theorem, Taylor Series, Laurent Series, residues, and complex integration techniques as needed for special functions, transforms, and further studies.

• Textbook

O'Neil, Peter V., Advanced Engineering Mathematics, 7th Edition, Thompson Books/Cole. ISBN-13: 978-1-111-42741-2

• Course Requirements

A detailed schedule for assignments will be found in the syllabus.
Determination of grades: Your final grade in this course will be determined by grades earned:

Homework = 30%
2 Tests = 40%
Final Exam = 30%

Software Requirements: None, but familiarity with Maple®, Mathematica®, and or MATLAB™ is recommended. Software can be accessed through the Virtual Computing Lab if you have a high speed Internet connection.

Projects: None

• Computer and Internet Requirements

NCSU and Engineering Online have recommended minimum specifications for computers. For details, click here.

• Instructor

Dr. Elisabeth Brown, Lecturer
SAS Hall 3278
NCSU Campus
Raleigh, NC 27695