MATH 203 Problem Sets
Fall 2009
Due Monday September 28, 2009
1.1 Vectors in two and three dimensional space: 5*, 9, 16, 18*, 25
1.2 The inner product, length and distance: 4*,6*, 10, 14, 18*, 24
1.3 Matrices, determinants and the cross product: 2c*, 6, 1
TAKE HOME QUIZ 4
20 minutes
closed book
due on Monday Dec 14 in class
NAME:
1
(
)
1. Let F (x, y, z ) = xy 2 z 4 , yz 2 x4 , zx2 y 4 be a vector eld and let S be the surface given by the
equation z = x2 + y 2 with x, y 0 and z [0, a]. Let S have the upwar
Please write out the honor pledge and sign it:
NAME (print):
Instructor / class section:
MAT 203 Quiz 3
Due: Monday, November 23, 2009
Information
Please read and sign the exam conditions rst before turning the page:
No books / notes / calculators / coll
Please write out the honor pledge and sign it:
NAME (print):
Instructor / class section:
MAT 203 Quiz 3
Due: Monday, November 23, 2009
Information
Please read and sign the exam conditions rst before turning the page:
No books / notes / calculators / coll
MATH 203, FALL 2009, TAKE HOME QUIZ #2: SOLUTION
This is a closed book quiz, take 20 minutes. Due Monday 10/19/09.
Question 1: Let f (x, y) be a map from R2 R, and x = g(s, t), y = h(s, t) for
some functions g, h : R2 R. Assume f, g, h have derivatives of
Take Home Quiz 2, Math 203 Fall 2009
This is a closed book quiz, take 20 minutes.
10/19/09.
Due Monday
Question 1: Let f (x, y ) be a map from R2 R, and x = g (s, t), y =
h(s, t) for some functions g, h : R2 R. Assume f, g, h have derivatives
of all order
1. (a) The volume of the parallelepiped spanned by u, v and w is the absolute value of
determinant of the matrix spanned by u, v and w . Calculate
123
149
1 8 27
=
123
026
0 6 24
=1
26
6 24
123
149
1 8 27
= 12.
= 12.
(b) Note that w = w v . Therefore,
123
Takehome Quiz1, Mat 203 Fall 2009
This is a closed book quiz, take 20 minutes. Due Monday 10/5/09.
1.(a) Let P be the parallelepiped spanned by three vectors u = (1, 2, 3), v = (1, 4, 9),
w = (1, 8, 27), nd the volume of P .
(b) Let P be the parallelepipe
Checklist for Quiz 4
Andrei Jorza
December 11, 2009
The purpose of this checklist is to give you a brief overview of what happened in class since the third
quiz and what kinds of things you might expect for the fourth take-home quiz.
1
Integrals
1.1
Impro
Checklist for Quiz 3
Andrei Jorza
November 20, 2009
The purpose of this checklist is to give you a brief overview of what happened in class since the midterm
and what kinds of things you might expect for the third take-home quiz.
1
Integrals
1.1
Double In
Checklist for Quiz 2
Andrei Jorza
October 15, 2009
The purpose of this checklist is to give you a brief overview of what happened in class since the rst quiz
and what kinds of things you might expect for the second take-home quiz.
1
Derivatives
1. Make su
Checklist for Quiz 1
Andrei Jorza
October 2, 2009
The purpose of this checklist is to give you a brief overview of what happened
in class until now and what kinds of things you might expect for the rst takehome quiz.
1
Vectors
1. Representation as (x1 , .
Please write out the honor pledge and sign it:
NAME (print):
Instructor / class section:
MAT 203 Midterm
October 28, 2009
7:30-9:30PM
Information
Please read and sign the exam conditions rst before turning the page:
No books / notes / calculators / colla
Checklist for Midterm
Andrei Jorza
October 26, 2009
The purpose of this checklist is to give you a brief overview of what happened in class until now and
what kinds of things you might expect for the midterm.
1
Up to Quiz 1
1.1
Vectors
1. Representation a
Please write out the honor pledge and sign it:
NAME (print):
Instructor / class section:
MAT 203 Final
January 13th, 2010
1:30-5:00PM
Information
Please read and sign the exam conditions rst before turning the page:
No books / notes / calculators / colla
MAT 203. Advanced Multivariable Calculus
Course Syllabus and Information, Fall 2009
This course will cover most of the material contained in the book Vector Calculus
5th edition, by J. Marsden and A. Tromba. We will begin by studying properties
of vectors
TAKE HOME QUIZ 4
20 minutes
closed book
NAME:
1
(
)
1. Let F (x, y, z ) = xy 2 z 4 , yz 2 x4 , zx2 y 4 be a vector eld and let S be the surface given by the
equation z = x2 + y 2 with x, y 0 and z [0, a]. Let S have the upwards orientation. Find the ux
of