Capital Crimes in Calculus III
The following are capital oenses in Calculus III.
1. Equating a vector and a scalar. (In this list of crimes, vector always means a
vector in 2-space, 3-space, or higher-dimensional space.) Some special cases and
examples of
it. t i
H Name: #33; 1)?"
Exam 0 . Spring .2012
Chapters E), E
Show (iii of your work and. explain your answers fully. There is a total of 100 possible points.
Pay attention to Specic. instructions about the use of Sage on relevant problems.
1. Find t
Dr. Beezer
Spring 2012
Name:
Exam 7
Chapter R
Show all of your work and explain your answers fully. There is a total of 100 possible points.
You may use Sage to rowmreduce matrices, solve systems of equations, compute determinants and compute eigen-
stu
Math 290
Quiz SLE
Name: Key
Code:
Dr. Beezer
Spring 2010
Show all of your work and explain your answers fully. There is a total of 90 possible points. If you use a calculator
or software package on a problem be sure to write down both the input and output
Math 290
Quiz V
Name: Key
Dr. Beezer
Spring 2010
Show all of your work and explain your answers fully. There is a total of 90 possible points. If you use a calculator
or software package on a problem be sure to write down both the input and output.
1. Giv
Math 290
Quiz M
Name: Key
Dr. Beezer
Spring 2010
Show all of your work and explain your answers fully. There is a total of 100 possible points. If you use a calculator
or software package on a problem be sure to write down both the input and output.
1. So
Math 290
Exam 4
Chapter VS
Name:
Dr. Beezer
Spring 2010
Show all of your work and explain your answers fully. There is a total of 100 possible points.
1. For the matrix A below, compute the dimension of the column space, the row space, the null space and
Math 290
Exam 7
Chapter R
Name:
Dr. Beezer
Spring 2010
Show all of your work and explain your answers fully. There is a total of 100 possible points.
1. Consider the following linear transformation T : C2 C2 and the bases B and C of C2 . (30 points)
T
a
b
Notes by David Groisser, Copyright c 2012
What does dierentiable mean?
These notes are intended as a supplement (not a textbook-replacement) for a class
at the level of Calculus 3, but can be used in a higher-level class as well. Instructors may
nd some o
Notes by David Groisser, Copyright c 2001
Taking Notes in a College Math Class
Since dierent teachers have dierent styles, perhaps I should have entitled this handout Taking Notes in My Math Class. Nonetheless I think
that the suggestions below will stand
Notes by David Groisser, Copyright c 1997
Algebra in Lagrange Multiplier Problems
When faced with solving several simultaneous equations in several unknowns, one
way to proceed is successively to eliminate variables. For example, if you are trying to
extr
VectorValued Functions and
Motion in Space
Outline of Hass, Weir, Thomas
Section 10.1
If f, g, and h are continuous functions of t defined on some
interval I, then the parametric equations
x ft
y gt
z ht
tI
define a curve in space. This curve can also
Arc Length
Arc Length
Outline of Hass, Thomas, Weir
Section 10.3
Definition
Definition
The length of a smooth curve,
x xt
y yt
z zt
a t b,
that is traced out exactly once as t ranges from a to b
is
L
b
a
dx
dt
2
dy
dt
2
dz
dt
2
dt.
If (as is usual) we
Math 290
Exam 5
Chapter D&E
Name:
Dr. Beezer
Spring 2010
Show all of your work and explain your answers fully. There is a total of 95 possible points.
1. For the matrix A below, use row operations to create an upper-triangular matrix with 1s on the diagon
Math 290
Exam 6
Chapter LT
Name:
Dr. Beezer
Spring 2010
Show all of your work and explain your answers fully. There is a total of 100 possible points.
1. Consider the following questions for the linear transformation T dened below. (30 points)
a
3 C2 ,
MAC 2313 Syllabus for Fall 2014
Lecture: MWF 2,3/ NPB 1001/ Dr. Scott Keeran (Coordinator),
309 Little Hall, keeran@u.edu
Lecture: MWF9/ TUR L007/ Dr. Christopher Porter,
452 Little Hall, cpporter@u.edu
Text: Calculus, Early Transcendentals, Jon Rogawski,