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CVEN 302-501 Exam 1 Review. Matlab.m files Matlab.m files Programming: FOR, WHILE, IF and FUNCTION Programming: FOR, WHILE, IF and FUNCTION Taylor Series.

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Presentation on theme: "CVEN 302-501 Exam 1 Review. Matlab.m files Matlab.m files Programming: FOR, WHILE, IF and FUNCTION Programming: FOR, WHILE, IF and FUNCTION Taylor Series."— Presentation transcript:

1 CVEN 302-501 Exam 1 Review

2 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

3 Root finding: Root finding: –Convert equations to root-finding problems –Bisection method –Newton-Raphson method –Secant method

4 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

5 Linear Regression Linear Regression –Summation equations –Linear models –Matrix least squares –Goodness of fit criteria

6 Numerical integration Numerical integration –Trapezoidal rule –Simpson’s rules –Romberg integration

7 Interpolation Interpolation Initial value problems Initial value problems –Euler’s method –Midpoint method –Runge-Kutta methods

8 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

9 Partial Differential Equations Partial Differential Equations –Classification –Notation –Implicit/explicit time stepping –Stability

10 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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