MAE 03 UCSD

1 MAE290a midterm (2003) 75 minutes, closed book, no calculators, one page of notes allowed. 1. (10 points) Using the Gaussian elimination procedure as discussed in class, construct (if possible) an LU decomposition and the inverse of the following

1 MAE290a nal (2003) 1. The big picture We have discussed in class several methods which we have identied with the following names: A. Bisection B. Brents method C. Conjugate gradient D. Crank-Nicholson E. Cubic spline F. Explicit Euler G. False po

1 MAE290a nal solutions (2003) 1. The big picture Question i) I, V (taking J (x) = 1 xT Ax bT x, choices C, O, U are also appropriate) 2 Question ii) A, O, G (taking J (x) = [ f (x)]2 , choices B, J, L are also acceptable) Question iii) O (taking J

1 MAE290a nal solutions (2003) 1. The big picture Question i) I, V (taking J (x) = 1 xT Ax bT x, choices C, O, U are also appropriate) 2 Question ii) A, O, G (taking J (x) = [ f (x)]2 , choices B, J, L are also acceptable) Question iii) O (taking J

1 MAE290a midterm (2003) 75 minutes, closed book, no calculators, one page of notes allowed. 1. (10 points) Using the Gaussian elimination procedure as discussed in class, construct (if possible) an LU decomposition and the inverse of the following

1 MAE290a nal (2003) 1. The big picture We have discussed in class several methods which we have identied with the following names: A. Bisection B. Brents method C. Conjugate gradient D. Crank-Nicholson E. Cubic spline F. Explicit Euler G. False po