ChemE512. ..Methods of Engineering Analysis
 ..Syllabus.
 Lectures: M/W/F (and if needed T or Th) 12:30-1:20 BNS115 Problem sessions/Recitations: Th 12:30-1:20 BNS115 Instructors: Prof. François Baneyx, BNS307, 685-7659 TAs: Tyler House, BNS236 and Beau Richardson, BNS256 Office Hours: Tyler House: Wednesdays 3:00-4:00PM and Thursdays 1:30-2:30PM in BNS236. Beau Richardson: Tuesdays 2:00-3:00PM and Thursdays: 3:00-4:00PM. Prof. Baneyx: Fridays 2:00-3:00PM in BNS307. Other times by appointment Grading: Midterm 30%; Final 50%; Homeworks 20% Textbook: Hildebrand, FB: Advanced Calculus for Applications, 2nd Ed, Prentice Hall, Englewood Cliffs (1976) Objectives: By the end of the course, students should be able to: (i) carry out vector and tensor calculations including surface and volume integrations; (ii) solve ordinary differential equations with constant and non-constant coefficients using classical approaches, Laplace transformations, and power series approaches; (iii) solve partial differential equations by separation and combination of variables; and (iv) apply the above techniques to engineering problems.
 Date Tentative Topic Week 1: 9/24-9/28 Lectures: MTuWF Recitation: Th Introduction to vectors and tensors Vector algebra, dot and cross products, semi Einstein notations Gradient, divergence, curl and Laplacian operations Week 2: 10/1-10/5 Lecture: MW Recitation: Th Vector integration Surface and volume integrals Week 3: 10/8-10/12 Lectures: MWF Recitation: Th Gauss's, Green's and Stokes' theorems Coordinate Transformations Review of ODEs Week 4: 10/15-10/19 Lectures: MWF Recitation: Th Solution techniques Variation of parameters Reduction to well-known forms Week 5: 10/22-10/26 Lectures: MWF Recitation: Th Midterm exam: Mo 10/22; 12:30-1:20 Introduction to Laplace transformations Elementary transformations Week 6: 10/29-11/2 Lectures: MWF Recitation: Th Shifting theorem and convolution Special functions defined by integrals Applications of Laplace transformations Week 7: 11/5-11/9 Lectures: MWF Recitation: Th ODE with non-constant coefficients: power series approaches Introduction to special functions defined by series Bessel's equation and Bessel functions Week 8: 11/12-11/16 Lecture: F Recitation: Th Properties of Bessel functions Week 9: 11/19-11/23 Lecture: MW Recitation: None Applications of Bessel functions in heat and mass transfer Legendre polynomials Week 10: 11/26-11/30 Lecture: MWF Recitation: Th Applications of Legendre polynomials Fourier analysis Sturm-Liouville theory Week 11: 12/3-12/7 Lecture: MWF Recitation: Th Orthogonality PDE solution techniques Application to heat and mass transfer problems Week 12: 12/10-12/14 Final exam: Th 12/13; 8:30-10:20
 | general information | syllabus | homework | Contact: François Baneyx, University of Washington, Department of Chemical Engineering, Box 351750, Seattle, WA Tel: 206-685-7659 Fax: 206-685-3451 E-mail: baneyx@uw.edu © 2008-2012 François Baneyx - All Rights Reserved