CVEN 302501

1
CVEN 302-501

• Exam 1 Review

2
Matlab

• Basic commands and syntax
• Creation of functions and programs
• Using functions at command prompt
• IF, FOR, and WHILE structures
• Arrays, matrices
• Element-by-element operations
• Logical operators and order of operation

3
Matlab, continued

• Built-in functions
• roots, fzero, feval, and help elfun
• Passing functions to functions with _at_

4
Taylor Series

• Taylor series expansion
• What is a base point?
• Order of the expansion
• Error term

5
Finite Difference

• Approximate derivatives numerically
• Forward, Backward and Central difference
• Order of the method
• Behavior of error compared to the step size

6
Roots of Equations

• Bracketing methods bisection and false position
• Open methods Newton-Raphson and secant
• Initial guesses and update equations
• Calculating relative error
• Using fzero or roots

7
Matrices

• Matrix operations addition, subtraction,
  multiplication, transpose
• Entering matrices in Matlab
• Matrix indexing Amn
• What is the matrix inverse?
• Identity matrix

8
Linear Algebra

• Write system of equations in matrix form
• Convert to row-echelon form using Gauss
  elimination (naïve and regular)
• LU decomposition
• Solution x A-1 b

9
Ground rules

• One sheet of notes, double sided
• Hand-held calculator
• Show all your work on work-out problems
• 730-900 location TBA