Instructor:

Nam Sun Wang

Class Hours: MW 5:30pm-6:45pm, Rm 2136 Chemical Engineering Bldg.

Office Hours: MW 12:00noon-1:00pm, Rm 1208 Chemical Engineering Bldg.

Phone: 301-405-1910 (call for appointment outside the office hours)

Email: nsw@eng.umd.edu

Teaching Assistant:

Allen David

Office Hours: TuTh11:00-12:00, Rm Chemical Engineering Bldg.

Phone: 301-405-1926

Email: aedavid@wam.umd.edu

Required Textbooks:

• None (However, you are highly recommended to purchase either one of the first two textbooks below, especially if you are the type who learns better with a textbook.)

Other References:

• "Mathematical Methods in Chemical Engineering," Arvind Varma and Massimo Morbidelli, Oxford University Press, 1997. ISBN: 0-19-509821-8.
• "Introduction to Applied Mathematics," Gilbert Strang, Wellesley-Cambridge Press, 1986. ISBN: 0-9614088-0-4.
• "Advanced Engineering Mathematics," 5th Edition, C. Ray Wylie and Louis C. Barrett, McGraw-Hill, 1982. ISBN: 0-19-509821-8. (General applied math textbook with a wide coverage of many topic.)
• "Mathematical Methods in Chemical Engineering," Victor George Jenson and G. V. Jeffreys, Second Edition, Academic Press, 1977. ISBN: 0-12-384456-8. (Contains many good chemical engineering examples.)
• "Applied Mathematics in Chemical Engineering," Harold S. Mickley, Thomas K. Sherwood, and Charles E. Reed, McGraw-Hill, 1957. ISBN: 041800-4. (A classical, hard-to-find book with chemical engineering examples.)
• "Applied Mathematics and Modeling for Chemical Engineers," Richard G. Rice and Duong D. Do, Wiley, 1995. ISBN: 0-471-30377-1.
• "Numerical Recipes in Fortran -- The Art of Scientific Computing," 2nd Edition, W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Cambridge University Press, 1992. ISBN: 0-521-43064 X ($54.95) -- This book is available in Fortran 77, Fortran 90, C, Basic, and Pascal versions. On-line versions are also available.
• IMSL Users Manuals
  • "FORTRAN Subroutines for Mathematical Applications" (Adobe Acrobat .pdf) (Alphabetical listing)
  • "FORTRAN Subroutines for Statistical Analysis" (Volume 1 Adobe Acrobat .pdf) (Volume 2 Adobe Acrobat .pdf) (Alphabetical listing)
  • "FORTRAN Subroutines for Mathematical Applications -- Special Functions" (from NIST -- not quite up yet)
• Mathcad Users Manuals
  • Mathcad 2000 User's Guide (300+ pages)
  • Mathcad 2000 Reference Manual (detail on functions)

Prerequisites:

Contents:

• Numerical/Computational Methods
  • Successive approximation, nonlinear algebraic equations
  • Linear algebraic equations Ax=b
  • Matrix inverse
  • Linear/nonlinear regression
  • Ordinary differential equations
  • Mathematical libraries and software packages
• Matrices and Their Applications (Ch 1)
  • Vector analysis
  • Orthogonality (Gram-Schmidts)
  • Linear transformation (matrix)
  • Eigenvalue-Eigenvector
  • Method of Weighted Residuals
• Linear ODE; IV, BV, and EV Problems (Ch 3)
  • First-order ODE (separable equation, exact equation, integration factors)
  • Linear homogeneous ODE, operator notation
  • Particular solution
  • Fundamental matrix
• Nonlinear ODE (Ch 2)
  • Local stability analysis
  • Limit cycle
• Perturbation Methods (Ch 9)
• Optimization
  • Static optimization
  • Dynamic optimization
  • TPBV problem
• PDE

Objectives:

Grading:

Assessment	Weight
Homework (assigned weekly)	50%
Exam #1 (10/07)	15%
Exam #2 (11/04)	15%
Exam #3 (Final Exam, 12/16)	20%

Students are guaranteed the following letter grades. That means the instructor will not raise the cut-off points. However, the instructor shall reserve the right to lower the cut-off points at the end of the semester (in case the TA grades toughly). Students study manage their time according to the grades they wish to receive.

Fraction of Points Earned	Letter Grade
0.80-	A
0.68-0.80	B
0.55-0.67	C
0.40-0.55	D
0.00-0.40	F

  (250+30)/300*0.5 + 180/200*0.3 + 10/100*0.2 = 0.757
       Homework        Quizzes      Final Exam

Homework is due at the beginning of the class on the specified due date; no late homework will be accepted unless individually arranged with the instructor before the due date with a valid excuse. Discussion among classmates is allowed in solving homework assignments, but each student must do his/her own work (absolutely no copying!).

Plagiarism and academic dishonesty absolutely will NOT be tolerated, and suspected incidence will be referred to the Student Honor Council of the Judiciary Programs. It is your responsibility to consult the instructor whenever there is any doubt on the definitions of these terms or on the allowable materials on each specific homework assignments or quizzes/exams. See Policy on Academic Integrity.

If you have a documented disability and wish to discuss academic accommodations with the instructor, please do so as soon as possible.

Return to Prof. Nam Sun Wang's Home Page
Return to Methods of Engineering Analysis (ENCH620)

Methods of Engineering Analysis -- Syllabus
Forward comments to:

Nam Sun Wang Department of Chemical Engineering University of Maryland College Park, MD 20742-2111 301-405-1910 (voice) 301-314-9126 (FAX) e-mail: nsw@eng.umd.edu ©2002 by Nam Sun Wang