Department of Mathematics and Statistics
American University of Sharjah
Second Midterm Exam - Summer 2013
MTH 203 - Calculus Ill
Date: July 15, 2013 Time: 2:00-3:15 pm
Instructors Name: All Sayfy
Student Name:
Student ID Number: Time of the Lectu
Department of Mathematics and Statistics
American University of Sharjah
First Midterm Exam -- Summer 2013
WITH 203 - Caicuius Iii
Date: July ist, 2013 Time: 2:003:30 pm
instructors Name: Ali Sayfy
Students Name: iD: Sec;
1. Do not open this
MTH203
Review Problems(EXAM#2)
Q1. Find the points on the sphere x 2 + y 2 + z 2 = 36 that are closest to and farthest from the
point (1,2,2).
Q2. Find (if any), the values of a and b for which the function fx, y = xy + a + b
x
y
(x > 0, y > 0) has a loca
i
E
!
American University of Sharjah
Department of Math and Stat
MTH203 - Calculus 1H Quiz # 4
Instructor: A. Sayfy Summer 2013
33
1m; Sec:
Name:
Q1. Find a potential function for the conservative eld
F 2< 4x3};2 -- 2xy3, 2x4}; ~ 3352};2 + 4 y3
American University of Sharjah
Department of Math and Stat
MTH203 ~ Calculus III Quiz # 3
Instructor: A. Sayfy _ Summer 2013
Name: Sc? \ s [<53 ID#: Sec:
Q1. Find the local maximum and minimum values and saddle point of the function
f(x,y) = x3 ~1
American University of Sharjah
Department of Math and Stat
MTH203 - Calculus III - Quiz # 3
Instructor: A. Sayfy Summer 2013
Name: L7 ID#: Sec:
Q1. Find the local maximum and minimum values and saddle point of the function
f(x,y) =
MTH203
Review Problems(EXAM#1)
Q1. Find parametric equations for the line passing through (1,0,1) and parallel to the line with
parametric equations
x = 4t , y = 1 3t , z = 2 + 5t .
Q2. Find an equation of the plane that passing through 4, 1, 2 and parall
American University of Sharjah
Department of Mathematics and Statistics
MTH203 w Calcuius III - Quiz #1
Instructor: A. Sayfy Summer 2013
Name; wk 2%, ID#Z sec:
W. W
b) The angle 6 between the two vectors.
W n?
W 3 g '
Q13: {2% w / _ - a? »
American University 9f Sharjah
Department 0f Mathematics and Statistics
MTH203 - Calming Hi « Quiz #1
Insimctnr: A Sayfy Slimmer 2813
Sec:
Q1. Given the two vectors :7 == 31 ~ j + 5k and i? m «2 + 3 j . Find
a) W = W {WI-J
w
%
c)