ENGR 410 - Engineering Analysis II


2001 Catalog Data:     ENGR 410.  ENGINEERING ANALYSIS II. Review of vector algebra; functions of several variables; multiple integrals, line integrals and vector integral calculus; complex numbers, limits, analytical functions, and derivatives; line integrals; Cauchy's theorem and formula; Taylor and Laurent series; residue theory. Prerequisite: MATH 264, 353. (4).
    
Textbook:     Erwin Kreyszig, Advanced Engineering Mathematics, 8th Edition, John Wiley and Sons, 1999.
    
References:     P.V. O'Neil, Advanced Engineering Mathematics, 4th Edition, Brooks/Cole Publishing Co., 1995.
    
Coordinator: Dr. Alexander B. Yakovlev, Assistant Professor of Electrical Engineering
    
Goals:     This course provides the mathematical skills of vector calculus and complex variable calculus. These skills are required as tools for mathematically describing the solutions to a wide variety of engineering problems.


Prerequisite by Topic:

  1. Differential real variable calculus
  2. Integral real variable calculus
  3. Analytic geometry
  4. Differential equations

Topics:
  1. Vector algebra (4 classes)
  2. Vector differential calculus (6 classes)
  3. Line and surface integrals, integral theorems (12 classes)
  4. Cylindrical and spherical coordinate systems (6 classes)
  5. Complex variables, complex analytic functions (7 classes)
  6. Complex integral calculus (8 classes)
  7. Laurent and Taylor series (4 classes)
  8. Residue Theory (3 classes)
  9. Evaluation of real integrals using complex variables (6 classes)
  10. Tests (4 classes)

Laboratory projects (including major items of equipment and instrumentation used):   None

ABET category content as estimated by faculty member who prepared this course description:  Mathematics: 4 credits or 100%

Prepared by: Dr. Alexander B. Yakovlev
Date: January 5, 2001

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