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Unformatted text preview: 18.02 PRACTICE MIDTERM #3A BJORN POONEN Please turn cell phones off completely and put them away. No books, notes, or electronic devices are permitted during this exam. Generally, you must show your work to receive credit. Name: Student ID number: Recitation instructors last name: Recitation time (e.g., 10am): (Do not write below this line.) 1 out of 15 2 out of 25 3 out of 15 4 out of 20 5 out of 25 Total out of 100 1) For each of (a)-(c) below: If the statement is true, write TRUE. If the statement is false, write FALSE. (Please do not use the abbreviations T and F.) No explanations are required in this problem. (a) The region in R 2 defined by | y | < x 2 + 1 is simply connected. (b) If C is a positively oriented simple closed curve enclosing a region R , and F is a continuously differentiable vector field defined on all of R 2 , and I C F n ds < 0, then div F < at some point of R ....
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This note was uploaded on 09/14/2011 for the course MATH 18.02 taught by Professor Auroux during the Fall '08 term at MIT.
- Fall '08
- Multivariable Calculus