Calculus in 3D
Geometry, Vectors, and
Multivariate Calculus
Zbigniew H. Nitecki
Tufts University
August 14, 2009
ii
Preface
The present volume is a sequel to my earlier book, Calculus Deconstructed:
A Second Course in First-Year Calculus, published by the
MATH 307
First Midterm
October 6, 2010
Name:
ID:
Question:
1
2
3
4
5
Total
Points:
16
15
15
16
12
74
Score:
There are 5 problems on 6 pages in this exam (not counting the cover sheet). Make sure that
you have them all.
You may use a calculator if you wish
MATH 307
8 pts.
Solutions to Midterm 1
1. (a) Find the point of intersection of the lines
2 + t, 1 2t, 4 + t
and
1 2s, 1 + s, 1 3s
Solution: We need to determine for which value of s and t the three coordinates are equal.
That is, we need to solve the fol
MAT 307: Multivariable Calculus with Linear Algebra
Stony Brook, Fall 2010
Text: Multivariable Mathematics, (4th ed.) by Williamson & Trotter.
This same book will be used for both MAT307 and MAT308; it seems to come in both
paperback and hardcover formats
1
0.8
0.6
0.4
z
0.2
0
-10
-0.2
-0.4
-5
-10
0
-5
0
y
5
5
10
10
Vector
Calculus
Michael Corral
x
Vector Calculus
Michael Corral
Schoolcraft College
About the author:
Michael Corral is an Adjunct Faculty member of the Department of Mathematics
at Schoolcraft