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