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Unformatted text preview: MTH 510 Final Exam 1 RYERSON UNIVERSITY DEPARTMENT OF MATHEMATICS MTH510 Final Examination, December 15, 2004 Last Name (Print): . First Name : . Student Number : . Signature : . Instructions: 1. Duration: 3 hours. 2. This test constists of 10 pages. Make sure your copy has all 10 pages. 3. This test has two sections. Section A is short answer, and section B is multiple choice. 4. In section A there are 7 questions. The point value of each question varies and is noted on the appropriate page. 5. Section B has 7 questions, and appears on the last 2 pages. Choose only one response for each question, or leave it blank. Each multiple choice question is worth 3 points. No points are deducted for incorrect responses. Circle the correct answer on the exam paper but be certain to mark your answer on the bubble sheet. No credit is given for answers to the multiple choice questions marked on the test paper only. 6. You must show your work. Just writing the answer without the important intermediate calculations will result in little or no credit. 7. Answer all questions in the space provided. Important intermediate calculations should be included only on the page containing the relevant question. 8. Sloppy solutions are unacceptable. 9. When not specified, numerical accuracy is 6 significant digits. 10. Hand calculators and two 8 1 2 11 sheet of paper (both sides) are allowed. 11. You may only use methods taught in class. 12. The last page of this exam contains a table of values for Gaussian Quadrature. MTH 510 Final Exam 2 Part A: Short Answer 1. (12 points) Consider the system of equations 4 x 1 + x 2 = 5 . 9 x 1 + 4 x 2 + x 3 = 4 . 33 x 2 + 4 x 3 =- 3 . 364 (a) Let X = (1 . 1 , 1 . ,- 1 . 1) and use Gauss-Seidel iteration to approximate a solution. Stop when1) and use Gauss-Seidel iteration to approximate a solution....
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