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     MA 502 Advanced Mathematics for Engineers and Scientists II
 

A first year graduate course introducing linear algebra, multivariable calculus, and complex function theory. The emphasis will be solution techniques of classical problems in these topic areas as a bridge to further work. 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 linear algebra, vector differential and integral calculus, and complex function theory in preparation for applications in engineering and science.

In linear algebra the student will learn matrix algebra, matrix inversion, eigen pairs, diagonalizing, and classes of matrices. 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, Sixth Edition, Thompson Books/Cole. ISBN: 0-534-55208-0


Course Requirements  

HOMEWORK: Weekly homework

EXAMINATIONS: One mid-term exam and one final exam.

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

PROJECTS: N/A

IMPORTANT NOTE: The course offered this summer was recorded during the 15-week semester at NC State University. The summer session, however, is 10 weeks in duration. Therefore, students will need to cover the course material at a considerably faster pace than during the regular semester. All course requirements must be completed during the 10-week summer session. This should be a consideration before registering for the course.

 
Computer and Internet Requirements  

NCSU has recommended minimum specifications for computers that are generally used for courses. Those specifications can be found here: http://www.ncsu.edu/it/compspecs/

Engineering Online recommends that your computer meets or exceeds the following minimum specifications below. A computer with greater capability (processor speed, RAM, internet bandwidth, disk capacity) will be more likely to properly display the video content of Engineering Online courses.

Windows:

  • Microsoft Windows XP, Windows 2003, or Windows Vista
  • Intel-compatible 1 GHz processor
  • 512 MB RAM
  • 60 GB hard drive with 1 GB free space available
  • Video display at 1024 x 768 or greater
  • Sound output and speakers
  • Microsoft Internet Explorer 6.0 SP1 or later, Firefox 2.0 or later, or Google Chrome 1.0
  • Windows Media Player 9.0 or later
  • Real One Player Basic (required for certain courses)
  • Adobe Acrobat Reader
  • Broadband Internet connection (256 Kbps or more)

Mac OS X:

  • Mac OS X 10.4.8 or later
  • G4 processor
  • 512 MB RAM
  • 60 GB hard drive with 1 GB free space available
  • Video display at 1024 x 768 or greater
  • Sound output and speakers
  • Safari 2.0.4 (or later) or Firefox 2.0 (or later)
  • Silverlight  (viewers may be prompted to install this when first viewing a presentation)
  • Real One Player Basic (required for certain courses)
  • Adobe Acrobat Reader
  • Broadband Internet connection (256 Kbps or more)
  • NOTE:  The Flip4Mac plug-in causes problems when viewing Mediasite presentations and should be disabled.

Linux:

  • Playback of Mediasite presentations on Linux is accomplished via the Moonlight Project, an open source implementation of Microsoft Silverlight. For more installation on the installation and configuration of Moonlight, please visit http://www.go-mono.com/moonlight/. The compatible operating systems and browsers are listed on this page.
  • Microsoft Media Pack for Moonlight
  • Adobe Reader for Unix
  • Broadband Internet connection (256 Kbps or more)

 
Instructor  

Dr. Harvey J. Charlton, Assistant Professor
North Carolina State University
Dept. of Mathematics
203 Harrelson Hall
Campus Box 8205
Raleigh, NC 27695-8205

Phone: (919) 513-2291
Fax: (919) 513-7336
E-Mail: charlton@math.ncsu.edu
Instructor's Website: http://www4.ncsu.edu/~charlton/