Methods of Engineering Analysis ENCH620

ENCH620

Methods of Engineering Analysis

Fall 2012

Class Handouts & Lecture Notes

Class Syllabus
Policy on Academic Integrity
Homework
08/30 Link to CHBE250, Computer Methods
Mathcad
Pop quiz
09/04 Ax=b, matrix review
What is a function?
09/06 f(x)=0: Iteration
f(x)=0: Algorithms (Bisection, Chord, Secant, Newton's Method)
09/11 Function approximation -- Taylor's series
Function approximation -- Lagrange interpolation polynomial
09/13 Getting Started with Matlab
09/18 Lagrange interpolation polynomial
09/20 Cubic spline. Difference (forward, backward, central)
09/25 Integration, Trapezoidal Rule & Simpson's Rule
Gauss quadrature
Gaussian Elimination & matrix inverse: Ax=b & A^-1.
LU decomposition
Gauss-Seidel iteration, Jacobi iteration
09/27 Regression, Intercept and slope equations, Multivariate regression (Part 1, Linear least squares regression) (Part 2, Multiple least squares regression)
10/02 Goodness of fit (sse, r²), number of terms, nonlinear regression
10/04 Exam #1
10/09 ODE by Euler, Runge-Kutta, finite element
10/11 Vector Analysis, linear vector space,
10/16 Scalar|dot|inner product, length|magnitude|norm, angle, Gram-Schmidt orthogonalization process
10/18 Projection
10/23 Application of vector projection (regression & function approximation, approximation of solution to ODE, method of weighted residuals)
10/25 vector
10/30 vector
11/01 Exam #2
11/06 Linear transform
11/08 Linear transform, rotation in 3D Cartesian coordinates
11/13 Eigenvalue-eigenvector
11/15 Eigenvalue-Eigenvector of 2nd Derivative Operator
1st-order ODE via eigenvalue-eigenvector, exp(A*t), Jordan normal form
11/20 Localized stability analysis of 1st-order ODE dx/dt=A*x via eigenvalue-eigenvector
11/27 PDE by separation of variables (another application of eigenvalue-eigenvector)
11/29 PDE by separation of variables

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Methods of Engineering Analysis
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Nam Sun Wang

Department of Chemical & Biomolecular Engineering

University of Maryland

College Park, MD 20742-2111

301-405-1910 (voice)

301-314-9126 (FAX)