Emory University Department of Mathematics & CS
Math 211 Multivariable Calculus
Spring 2012
Quiz # 1 St. Valuentines Day 2012 Solutions
Directions: You had 20 minutes. No electronic devices were allowed. No notes were allowed.
1. Let S be the plane in R3
Emory University Department of Mathematics & CS
Math 211 Multivariable Calculus
Spring 2012
Final (Tue 08 May 2012, 08:3011:00 am, MSC W301) Study Guide and Practice Exam
Directions: You will have 2 hour and 30 minutes for the nal exam. No electronic devi
Emory University Department of Mathematics & CS
Math 211 Multivariable Calculus
Spring 2012
Problem Set # 1 (due Friday 27 Jan 2012) Solutions
1. Graphs of Multivariable Functions
a) Let f : R2 R be a function on R2 . Give R3 the standard (x, y, z ) coord
Emory University Department of Mathematics & CS
Math 211 Multivariable Calculus
Spring 2012
Problem Set # 2 (Fri 03 Feb 2012) Solutions
1. CM 14.2
Exercise 28
Solution.
xy
y 2 exy
xy
x ye
ln(ye ) =
=
=y
x
yexy
yexy
Problem 40
1
Solution. Well, f (65, 16
Emory University Department of Mathematics & CS
Math 211 Multivariable Calculus
Spring 2012
Problem Set # 3 (Fri 10 Feb 2012) Selected Solutions
1. CM 14.4
Exercise 14
Solution.
z |(x,y) =
1
(yey
(x+y )2
+ ey (x2 + xy x)
Exercise 24
Solution.
f |(1,2)
Emory University Department of Mathematics & CS
Math 211 Multivariable Calculus
Spring 2012
Problem Set # 4 (Fri 17 Feb 2012) Selected Solutions
1. Let P be a point in R3 and let v be a direction vector at P . Find a parameterization of
the line through P
Emory University Department of Mathematics & CS
Math 211 Multivariable Calculus
Spring 2012
Midterm # 1 (Tue 21 Feb 2012) Practice Exam Solution Guide
Practice problems: The following assortment of problems is inspired by what will appear on the
midterm e
Emory University Department of Mathematics & CS
Math 211 Multivariable Calculus
Spring 2012
Midterm # 1 (Tue 21 Feb 2012) Practice Exam
Directions: You will have 1 hour and 10 minutes for the midterm exam. No electronic devices will
be allowed. No notes w
Emory University Department of Mathematics & CS
Math 211 Multivariable Calculus
Spring 2012
Midterm # 2 (Thu 05 Apr 2012) Practice Exam Solution Guide
Practice problems: The following assortment of problems is inspired by what will appear on the
midterm e
Emory University Department of Mathematics & CS
Math 211 Multivariable Calculus
Spring 2012
Midterm # 2 (Tue 03 Apr 2012) Practice Exam
Directions: You will have 1 hour and 10 minutes for the midterm exam. No electronic devices will
be allowed. No notes w
Emory University Department of Mathematics & CS
Math 211 Multivariable Calculus
Spring 2012
Final (Tue 08 May 2012, 08:3011:00 am, MSC 301) Study Guide and Practice Exam
Section I
1. Determine whether the following statements are always true (T), sometime