EXAM 1
Math 212, 2014 Summer Term 1, Clark Bray.
You have 75 minutes.
No notes, no books, no calculators.
YOU MUST SHOW ALL WORK AND EXPLAIN ALL REASONING
TO RECEIVE CREDIT. CLARITY WILL BE CONSIDERED IN GRADING.
All answers must be simplied. All of the p
EXAM 1
Math 212, 2013 Summer Term 2, Clark Bray.
You have 75 minutes.
No notes, no books, no calculators.
YOU MUST SHOW ALL WORK AND EXPLAIN ALL REASONING
TO RECEIVE CREDIT. CLARITY WILL BE CONSIDERED IN GRADING.
All answers must be simplied. All of the p
Mathematics 212
Fall 2012 Syllabus
The text is Calculus by Edwards and Penney, 6th edition.
Lesson/Reading
Page/Exercises
I.
Vectors, curves, and surfaces
1. Vectors in R2
2. Vectors in R3
12.1
12.2
3. Cross product
4. Lines and planes
12.3
12.4
5. Curves
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Multivariate Calculus
in 25 Easy Lectures
(Revised: December 6, 2006)
Lecture Notes for Math 2501
California State University Northridge
Fall 2006
Class 13023
Bruce E. Shapiro, Ph.D.
1
Lecture notes to accompany Varberg, Purcell & Rigdon, Calculus, 8th Ed
Solutions to Midterm Exam
Math 212
October 11, 2012
Write your answers on notebook paper, not on this paper. Show your
work, but put a box around the nal answer.
1. Consider the curve Flt) = (213,49, In t).
(a) At What time is t) = (2,1,0)? At that ti
NAME:
MAT 212 Fall 2014 Sections 1 & 2
Test on Chapter 14
Rules:
- no books, notes or calculator only your exam and blank sheets
that can be obtained from the front;
- your exam should be your own work only no exchanging problem scor
NAME:
MAT 212 Fall 2014 Sections 1 & 2
Test on Chapter 13
Rules:
- no books, notes or calculator only your exam and blank sheets
that can be obtained from the front;
- your exam should be your own work only no exchanging problem scor
EXAM 2
Math 103, 2012 Summer Term 2, Clark Bray.
You have 75 minutes.
No notes, no books, no calculators.
YOU MUST SHOW ALL WORK AND EXPLAIN ALL REASONING
TO RECEIVE CREDIT. CLARITY WILL BE CONSIDERED IN GRADING.
All answers must be simplied. All of the p
EXAM 2
Math 212, 2013 Summer Term 2, Clark Bray.
You have 75 minutes.
No notes, no books, no calculators.
YOU MUST SHOW ALL WORK AND EXPLAIN ALL REASONING
TO RECEIVE CREDIT. CLARITY WILL BE CONSIDERED IN GRADING.
All answers must be simplied. All of the p
EXAM 1
Math 212, 2014 Summer Term 2, Yuan Zhang.
You have 75 minutes.
No books, no calculators.
YOU MUST SHOW ALL WORK AND EXPLAIN ALL REASONING
TO RECEIVE CREDIT. CLARITY WILL BE CONSIDERED IN GRADING.
All answers must be simplied. All of the policies an
EXAM 1
Math 212, 2013 Summer Term 1, Clark Bray.
You have 75 minutes.
No notes, no books, no calculators.
YOU MUST SHOW ALL WORK AND EXPLAIN ALL REASONING
TO RECEIVE CREDIT. CLARITY WILL BE CONSIDERED IN GRADING.
All answers must be simplied. All of the p
EXAM 2
Math 212, 2013 Summer Term 1, Clark Bray.
You have 75 minutes.
No notes, no books, no calculators.
YOU MUST SHOW ALL WORK AND EXPLAIN ALL REASONING
TO RECEIVE CREDIT. CLARITY WILL BE CONSIDERED IN GRADING.
All answers must be simplied. All of the p
EXAM 2
Math 212, 2014 Summer Term 1, Clark Bray.
You have 75 minutes.
No notes, no books, no calculators.
YOU MUST SHOW ALL WORK AND EXPLAIN ALL REASONING
TO RECEIVE CREDIT. CLARITY WILL BE CONSIDERED IN GRADING.
All answers must be simplied. All of the p
1. Lines in 3-dimensional space
The coordinates of two points Q1 and Q2 are (2,1,2) (for Q1) and (1,1,1) (for Q2).
We also consider two planes, p1 and p2, given by the equations
33+2y222 (forpl) and 2xy+3z=0 (forpg).
a) Does Q1 lie in p1?
b) Does Q2 lie i
1. Flux through a surface
The surface S is shown below, as Viewed from two different angles, and parametrized as
2 . .
cos i sin 2a) sin a cost
NIH
z a:(u,t)= (1+
it: _ (1+;
. If: x \ Ir-
x/a/"x - ' zu,t : 1+
\, ( > ( 2
where u ranges from U to E,
and i
Calculus III
Preface
Here are my online notes for my Calculus III course that I teach here at Lamar University.
Despite the fact that these are my class notes, they should be accessible to anyone wanting to
learn Calculus III or needing a refresher in som
Calculus III
Preface
Here are my online notes for my Calculus III course that I teach here at Lamar University.
Despite the fact that these are my class notes, they should be accessible to anyone wanting to
learn Calculus III or needing a refresher in som
Calculus III
Preface
Here are my online notes for my Calculus III course that I teach here at Lamar University.
Despite the fact that these are my class notes they should be accessible to anyone wanting to
learn Calculus III or needing a refresher in some
Calculus III
Preface
Here are my online notes for my Calculus III course that I teach here at Lamar University.
Despite the fact that these are my class notes they should be accessible to anyone wanting to
learn Calculus III or needing a refresher in some
Calculus III
Preface
Here are my online notes for my Calculus III course that I teach here at Lamar University.
Despite the fact that these are my class notes, they should be accessible to anyone wanting to
learn Calculus III or needing a refresher in som
Calculus III
Preface
Here are my online notes for my Calculus III course that I teach here at Lamar University.
Despite the fact that these are my class notes they should be accessible to anyone wanting to
learn Calculus III or needing a refresher in some
Calculus II
Preface
Here are a set of practice problems for my Calculus II notes. If you are viewing the pdf version of this
document (as opposed to viewing it on the web) this document contains only the problems themselves
and no solutions are included i