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CVEN 302-501 Exam 1 Review
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Matlab.m files Matlab.m files Programming: FOR, WHILE, IF and FUNCTION Programming: FOR, WHILE, IF and FUNCTION Taylor Series Taylor Series Numerical Differentiation Numerical Differentiation Error quantification Error quantification Truncation error Truncation error
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Root finding: Root finding: –Convert equations to root-finding problems –Bisection method –Newton-Raphson method –Secant method
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Linear Algebra Linear Algebra –Gauss elimination (naïve and with partial pivoting) –LU-Decomposition –Matrix inverse –Matrix algebra (add, subtract, multiply) –Cholesky decomposition –Gauss-Seidel method
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Linear Regression Linear Regression –Summation equations –Linear models –Matrix least squares –Goodness of fit criteria
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Numerical integration Numerical integration –Trapezoidal rule –Simpson’s rules –Romberg integration
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Interpolation Interpolation Initial value problems Initial value problems –Euler’s method –Midpoint method –Runge-Kutta methods
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Boundary value problems Boundary value problems –Finite difference methods –Numerical grids –Matrix solutions Eigenvalue problems Eigenvalue problems –Matrix determinant method –Solve for eigenvalues/eigenfunctions –Matlab methods
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Partial Differential Equations Partial Differential Equations –Classification –Notation –Implicit/explicit time stepping –Stability
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Ground rules Three sheets of notes, double sided Three sheets of notes, double sided Hand-held calculator Hand-held calculator Show all your work on work-out problems Show all your work on work-out problems 10:00 a.m. - 12:00 p.m. in Zachry 127B 10:00 a.m. - 12:00 p.m. in Zachry 127B Sit in alphabetical order by last name Sit in alphabetical order by last name
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