Engineering 1

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Engineering 1

• Final Exam Topics
• Fall 2006

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• PA 6 due Monday (12/11)
• Final Exam
• When? December 13th (Wednesday) from 12 to 3 PM
• Where? Packard Auditorium (PA 101)

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Final Exam

• 6 questions (at least 2 MatLab programs)
• Root finding methods (all)
• Numerical methods
• Interpolation
• Linear regression
• Differentiation-forward, backward, central
• Integration (trapezoidal)

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Final Exam

• Numerical Methods (contd)
• Differential Equation Solutions (1st order)
• Eulers method (single or double)
• Example
• dy/dt y et (1 equation)
• dy/dt xt dx/dt yt (2 equations)

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Final Exam

• MatLab
• Matrices ? Multiplication
• Basic Arithmetic , -, , .
• Array vs. Matrix math
• Array Manipulation
• Filling
• Combining
• Extracting. E.g. XC(,1)

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Final Exam

• MatLab (contd)
• Input/Output
• to/from screen and txt files
• Formatting output
• Formatting command e.g. 8.3f
• Plotting commands
• Use of global variables

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Final Exam

• MatLab (contd)
• Functions
• MatLab library functions
• polyfit
• transpose
• mean
• sum
• abs (absolute)
• std (standard deviation)
• min
• max

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Final Exam

• MatLab (contd)
• Functions (contd)
• MatLab library functions
• fzero
• ODE45
• User defined functions
• Single return e.g. acube(x,y)
• Multiple return e.g. retvalmult(x,y,z) retval(
  1)x2 retval(2)yz

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Final Exam

• NO C or EXCEL
• Bring
• Information sheet 8 ½ x 11, handwritten, both
  sides
• Extra (scratch) paper
• Pencil Eraser (No pen!)
• Calculator (with extra batteries)