MATH 4551 HOMEWORK 4
Show work for credit.
1. Find the tangent plane to the surface x2 z + z 3 xy +
x2 + y2 = 26 at the point (3, 4, 1).
2. Suppose your altitude at a point (x, y) on the earth is given by
2
z = exy .
Youre standing at the point (x, y) = (
M A T H 4551 Sample Test 1
SHOW W O R K , for credit. Check the chalkboard periodically. When multiplying two vectors
5, b, make i t clear which product you're getting: a for dot product, a x 6 for cross product. For
full credit, all dot products, cross p
KEV
MATH 4551 lVIidterm 1, Spring 2016
No electronic devices, books, or notes. SHOW WORK for credit Check the chalkboard peri
odically. When multiplying two vectors a, b make it clear which product you re getting. a b for dot
product, a X b for cross pr
Math 4551, Homework #10
This material covers sections 5.15.5
From the book
From page 278279
Do problem 2, parts (a) and (b)
Do problem 3 parts (a) and (b) (Be careful: this should be a counterclockwise orientation in each
case.)
Do problem 4, part (a)
286
Math 4551, Homework #6
This material covers sections 2.7, 2.10, 2.13, and 2.14.
From the book
From page 95, do the following
Problem 3, parts (a) and (b).
From page 116, do the following
Problem 1, parts (a) and (b)
Problem 3, part (b) (Hint: finish readi
Math 4551, Homework #7
This material covers sections 3.13.6.
From the book
From page 180, do the following,
Problem 1, parts (a) and (b)
Problem 2, part (a)
Problem 3 (part (a) to sync up with problem 2.)
Problem 5
From page 185, do the following,
Problem
Math 4551, Homework #4
This material covers sections 1.9,1.10, and
From the book
Read section 1.9, and from pages 30 and 31, do the following
Problem 1, parts (a) and (b) (You may make use of problem 7.(a) or the method of Gaussian
elimination)
Problem 2,
Math 4551, Homework #9
This material covers sections 4.6 and 4.7
From the book
From page 241242, do the following,
Problem 1, parts (a), (b), and (d).
Problem 4, parts (a), (b), (c), and (d)
Problem 8, parts (b) and (c)
From page 248, do the following,
P
Math 4551, Homework #11
This material covers sections 5.55.7
From the book
From page 286287
Do problem 3 (reminder: work done along a path is equal to the integral of the force field dotted
with the unit tangent.)
From pages 300302
Do problem 1.
Do proble
MAT 444 H. Barcelo Spring 2004
Homework 2 Solutions
Section 2.5 Question: 6. a) Prove that the relation x conjugate to y in a group G is an equivalence relation on G. Answer: a) Let x ~ y if and only if y = g x g 1 for some g G . It is straightforward to
Math 4551, Homework #2
This material covers sections 1.6, 1.7, 1.8, and 1.16 in your book. Please be aware we did not
cover section 1.16 as fully as the book does, so it uses a great deal of terminology that we do not.
From the book do the following probl
Sections to look at for the exam: 2.12.7, 2.10, 2.13, 2.14, 3.13.6
The following is a suggested study list. It is not intended to be comprehensive.
Terminology you should recognize and know how to define: neighborhood, bounded,
open, closed, region, domai
MATH 4551 Sample Midterm 1
SHOW WORK, for credit. Check the chalkboard periodically. When multiplying two vectors
a, b, make it clear which product you re getting: a b for dot product, a x b for cross product. For
full credit, all dot products, cross pro
FEW
MATH 4551 MIDTERM 3
Trickery (meaning use of Divergence Theorem. Greens Theorem, or consewativgness) is needed
for many line and surface integrals to get a doable integral. If trickery is required or requested in a
problem, no credit will be given for
MATH 4551 SAMPLE MIDTERM 3
Trickery (meaning use of Divergence Theorem, Greens Theorem, or conservativeness) is needed
for many line and surface integrals to get a doable integral. On an exam, if trickery is required
or requested in a problem, no credit w
Math 4551, Homework #5
This material covers sections 2.1 through 2.7.
From the book
From page 82, do the following
Problem 2, parts (b) and (c). (Dont sketch, just draw the level curves.)
Problem 5, part (a). (Dont graph, just show it is discontinuous at
Math 4551, Homework #1
Please note: this homework will cover some elements of the crossproduct, which we will not talk
about until Monday.
Remember: you should show your work. Avoid using a calculator unless its something you
cant be reasonably expected
Sections to look at for the exam: 1.1, 1.2, 1.3, 1.4, 1.6, 1.7, 1.8, 1.16
Terminology you should recognize: linear independence, standard unit vectors (such as ~i, ~j, ~k
or ~ei ), identity matrix, zero matrix, linear transformation/mapping/function, Rn ,
Math 4551, Homework #2
This material covers sections 1.4, 1.8, and 1.10 in your book. Note that we wont discuss most
of 1.10 until Monday.
From the book do the following problems from page 16
Problem 10, parts (a), (c), and (e)
And from pages 25 and 26, d
Math 4551, Homework #8
This material covers sections 3.13.6, 4.34.4
From the book
From page 180, do the following,
Problem 1, parts (c) and (d)
Problem 8
From page 185, do the following,
Problem 3
Problem 5, part (a)
Problem 7, part (a)
From page 234, do
Sections to look at for the exam: 4.1, 4.34.7, 5.15.6
The following is a suggested study list. It is not intended to be comprehensive.
Terminology you should recognize and know how to define: The limit definition for
definite integrals for the one or two
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