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Engineering 1

Engineering 1 . Final Exam Topics Spring 2007. Final Exam: When? May 6 th (Sunday) from 8 to 11 am Where? Packard Auditorium (PA 101). Final Exam. 6 questions (at least 2 MatLab programs) Root finding methods (all) Numerical methods Interpolation Linear regression

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Engineering 1

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  1. Engineering 1 Final Exam Topics Spring 2007

  2. Final Exam: • When? May 6th (Sunday) from 8 to 11 am • Where? Packard Auditorium (PA 101)

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

  4. Final Exam • Numerical Methods (cont’d) • Differential Equation Solutions (1st order) • Euler’s method (single or double) Example: dy/dt = y + et (1 equation) dy/dt= x+t & dx/dt = y+t (2 equations)

  5. Final Exam • MatLab • Matrices  Multiplication • Basic Arithmetic +, -, *, .* • Array vs. Matrix math • Array Manipulation • Filling • Combining • Extracting. E.g. X=C(:,1)

  6. Final Exam • MatLab (cont’d) • Input/Output • to/from screen and txt files • Formatting output • Formatting command e.g. %8.3f • Plotting commands • Use of global variables

  7. Final Exam • MatLab (cont’d) • Functions • MatLab library functions • polyfit • transpose • mean • sum • abs (absolute) • std (standard deviation) • min • max

  8. Final Exam • MatLab (cont’d) • Functions (cont’d) • MatLab library functions • fzero • ode45 • User defined functions • Single return e.g. a=cube(x,y) • Multiple return e.g. retval=mult(x,y,z) retval(1)=x*2: retval(2)=y+z;

  9. 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)

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