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CVEN 302-501

. Matlab .m filesProgramming: FOR, WHILE, IF and FUNCTIONTaylor SeriesNumerical Differentiation Error quantificationTruncation error. . Root finding:Convert equations to root-finding problemsBisection methodNewton-Raphson methodSecant method. . Linear AlgebraGauss elimination (na

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CVEN 302-501

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    1. CVEN 302-501 Exam 1 Review

    2. Matlab .m files Programming: FOR, WHILE, IF and FUNCTION Taylor Series Numerical Differentiation Error quantification Truncation error

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

    4. 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 Summation equations Linear models Matrix least squares Goodness of fit criteria

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

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

    8. Boundary value problems Finite difference methods Numerical grids Matrix solutions Eigenvalue problems Matrix determinant method Solve for eigenvalues/eigenfunctions Matlab methods

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

    10. Ground rules Three sheets of notes, double sided Hand-held calculator Show all your work on work-out problems 10:00 a.m. - 12:00 p.m. in Zachry 127B Sit in alphabetical order by last name

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