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ENGR 3703 - COMPUTATIONAL
METHODS FOR ENGINEERING FALL 2007 -
LECTURE SCHEDULE
M
Aug
20 Introduction/What
is Computational Engineering/Physics?
W Aug 22 Four
Pilars of
Computational Methods
F
Aug 24 Review
of Excel M
Aug
27 Introduction
to VBA/Functions VBA
Programs:
1. Thermal
Conductivity
W
Aug 29 Introduction
to VBA/Subroutines - Euler Method
VBA
Programs: 1. Harmonic
Oscillator 1
2. Harmonic Oscillator 2
F Aug 31 Math
Modeling & Engineering Problem Solving/Programming & Software M
Sep 3 NO
CLASS - LABOR DAY HOLIDAY
W
Sep 5 Introduction
to VBA/Subroutines - Euler Method
F Sep 7 Math
Modeling & Engineering Problem Solving (Chapter 1) / Programming
& Software (Chapter 2) M
Sep
10 Approximations
and Round-Off (Chapter 3) / Truncation Error and the Taylor Series
(Chapter 4)
VBA
Programs: 1. Machine Epsilon
2. Numerical Differentiation
W
Sep 12 Root Finding -
Bracketing Methods (Chapter 5)
VBA
Programs: 1. Secant Method F
Sep 14 Root Finding -
Open Methods (Chapter 6)
VBA
Programs: 1. Root Finding M
Sep
17 Roots of Polynomials (Chapter 7)
VBA
Programs: 1. Bisection
Method
2. Muller's Method
W
Sep 19 Engineering Applications of Root Finding (Chapter 8)
F Sep 21 Gaussian Elimination (Chapter 9)
VBA
Programs: 1. Gauss Elimination M
Sep
24 LU Decomposition (Chapter 10)
W
Sep 26 Matrix Inversion (Chapter 10)
VBA
Programs: 1. Matrices
in Excel
F
Sep 28 EXAM #1 Over Chapters 1, 2, 3, 4, 5, 6, 7, 8M
Oct
1 Gauss-Seidel Method (Chapter 11)
VBA
Programs: 1. Chapter 11 Examples W
Oct
3 Engineering
Applications of Algebraic Linear Equations (Chapter 12)
F Oct 5 Optimization in One Dimension
(Chapter 13) M
Oct
8 Optimization in More than One Dimension (Chapter 14)
W
Oct
10 Optimization Using Excel's Solver
F Oct 12 Linear Programming - The Simplex
Method (Chapter 15) M
Oct
15 Linear Programming Using Excel's Solver
VBA
Programs: 1. LP Example 1
2. LP Example 2
W Oct 17 Least Squares Regression (Chapter 17)
VBA
Programs: 1. LSQ Fitting
F
Oct 19
NO CLASS- FALL BREAK M
Oct
22 Nonlinear Least Squares Curve Fitting (Chapter 17)
VBA
Programs: 1.NLSQ Fitting
W Oct 25 Interpolation (Chapter 18)
F Oct 27 Lagrange Interpolating Polynomials
(Chapter 18)
VBA
Programs: 1. Interpolation M
Oct
29 Curve Fitting with Sinusoidal Functions (Chapter 19)
W
Oct
31 FFT, the Fast Fourier Transform (Chapter 19)
VBA
Programs: 1. FFT Example in
Excel
F Nov 2 NO
CLASS - Fall
Oklahoma Academy of Science Conference M
Nov 5 Newton Cotes Integration Formulae - Trapezoidal Rule
(Chapter 21)
VBA
Programs: 1. Integration W
Nov 7 Newton
Cotes Integration Formulae - Simpson Rule (Chapter 21)
VBA
Programs: 1. Integration-Simpson
W
Nov 14 Numerical Differentiation (Chapter 23)
F Nov 16 NO
CLASS - Statehood Day Holiday M
Nov 19 Numerical Solution of ODE's - Euler Method
VBA
Programs: 1. Harmonic
Oscillator 1
2. Harmonic Oscillator 2
W
Nov 21 NO CLASS - Thanksgiving Holiday
F Nov 23 NO
CLASS - Thanksgiving HolidayM
Nov 26 Runge Kutta Methods (Chapter 25)
VBA
Programs: 1. ODE Methods W
Nov 28 Setting Systems of ODES for Numerical Solution - Orbital
Motion
F Nov 30 Numerical Methods for ODES - Euler and Euler
Heun Methods
VBA
Programs: 1. Orbit-Euler
Method
2. Orbit-Heun Method M
Dec 3 Numerical
Methods for ODES - Verlet,
EulerCromer, and Runge Kutta 4/5 Methods
VBA
Programs: 1. Orbit-EulerCromer
Method
2. Orbit-Verlet Method 3. Orbit-RungeKutta4 Method
