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 give
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 cr
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 y
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, ze
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
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
Pro
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 limi
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 def
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 terminolo
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 counterclockwis
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, pa
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
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
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
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 calculato
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, p
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 cros
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
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 tric
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MATH 4551 HOMEWORK ONE
Show work for credit. Problems 18 are required, problems 911 are only recommended; turn
in only problems 18, on the paper Im providing.
In all problems assume, unless stated oth
MATH 4551 HOMEWORK TWO
REQUIRED: nos. 37; show work for credit.
RECOMMENDED (dont turn in): nos. 12 and 810.
In all problems assume, unless stated otherwise, all vectors and subspaces are in
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MATH 4551 HOMEWORK 3
Show work for credit. Problems 6, 7, and 9 are recommended but not required (dont turn in).
All other problems are required.
1. Use scalar triple product to determine which of the
2. Show that 32%: does not have a limit at (0, 0).
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3. Show that W does not; have a limit at (0, 0).
2 2 2
4. Show that lim(z,y)_,(o'o) 96%) = 0.
Use the derivative of f to wtimate f (1.1, 2.3). 2
6
MATH 4551 HOMEWORK 4
Show work for credit. Problem 3 is recommended but not required (dont turn in). All other
problems are required.
1. Find the tangent plane to the surface x2 z + z 3 xy +
p
x2 + y
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 u