Caleb
Carswell
Email: calebc AT gmail DOT com
Office: 131 Mathematics Building
Office Hours: 4:30 — 5:50, M T W and Thursday 5 — 5:50
Office Phone: (716) 645 8819
Cell Phone: (716) 575 5535
T.A: Bruce Corrigan-Salter
Office: 132 Mathematics Building
Off. Hrs.: TBA
Help Center: Tuesday 5:00 — 6:00
Email: brucecor AT buffalo DOT edu
Syllabus
Grades
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Here is the final gradesheet for the course.
The gradesheet is updated with the grades from Exam 4.
6/26 — Final Exam Stuff
- Exam 5 and solutions
- Exam 4 and solutions
- You will be given a copy of this formula sheet with the final
- See the announcements on 6/23 for notes about studying for the final.
- Recommended HW for sections 16.8 and 16.9:
16.8: 3, 5, 7, 9, 15, 19*
16.9: 3, 5, 7, 11, 13, 25*, 27*
Starred* problems are enthusiastically recommended
A single looseleaf page from one student's exam 3 was misplaced. If anyone finds it in with their exam, please email me.
6/23 — Exam Stuff
- Info for Exam 5
- Recommended HW for 16.7: 5, 7, 9, 13, 17, 19, 21, 23, 25, 29, 37
- Studying for the Final:
- The Recommended HW and old exams will be an excellent
resource for the final exam. Many of the problems from the final
will come from old exams and recommended HW problems.
- The enthusiastically recommended problems from each
of the previous exams are still enthusiastically recommended for
the final. In addition to the old enthusiastically recommended
problems, you should also do:
- 13.2: 45, 53
- 13.3 59
- 15.4: 40abc
- OMIT all other enthusiastically recommended problems from chapter 15
- Don't worry about Lagrange Multipliers (14.8) or Change of Variables (15.10). These topics will not appear on the final.
6/21 — Surface Integrals, Stokes' Theorem, and the Divergence Theorem
6/20 — Green's Theorem, Curl, Divergence, and Parameterized Surfaces
- Grades are updated with scores from exam 3.
- Notes for the rest of 16.4 through 16.6
- Recommended HW:
16.1: 11-14,
16.2: 7, 15, 17, 21, 49, 50
16.3: 3, 5, 7, 11, 13, 15, 19, 29, 31-34
16.4: 1, 3, 5, 7, 9,11, 13, 29
16.5: 1, 5, 7, 9, 11, 13, 17, 19, 21, 22, 25, 31
16.6: 3, 5, 19, 21, 23, 25, 33, 39, 41, 43, 49
6/19 — Vector Fields, Line Integrals, and a New Fundamental Theorem
6/15 — Exam Stuff
6/14 — Spherical Coordinates and the Change of Variables
- Here's the rest of the Recommended HW for chapter 15:
15.7: 5, 9, 13, 15, 17, 31, 33, 35, 39, 53
15.8: 1, 3, 9, 15, 17, 19, 21, 25
15.9: 1, 3, 7, 9, 15, 21, 23, 25, 29, 35, 39
15.10: 3, 5, 9, 15, 17, 19, 21
6/13 — Triple Integrals, Cylindrical Coordinates, and Spherical
Coordinates
- New Notes for 15.9 through 15.10,
with one more example for 15.8. These should take us through the
end of the week, although we may get to 16.1 on Thursday.
- Note: The file numbering system for the notes in
this chapter are a little screwy, because I just now realized that the
7th edition of the text has added a new section in 15.6. We will
be covering the material from 15.6 in a more general form in 16.6, so
15.6 will not appear on exam 4.
- New Recommended HW will be posted sometime Wednesday night,
as will the solutions to exam 3.
- Script for spherical
regions demo.
6/12 — Double Integrals Over More General Regions, Polar Coordinates
and Triple Integrals
- Notes for Sections 15.4 through
15.8 We will pick up in the notes from last time at section 15.3
(double integrals over more general regions)
- Recommended HW:
15.1: 17
15.2: 3, 5, 11, 15, 17, 19, 21, 27, 35, 37
15.3: 1, 5, 9, 15, 17, 21, 23, 27, 29, 43, 47, 49, 51, 55
15.4: 5, 7, 9, 11, 15, 17, 19, 21, 25, 29, 40
15.5: 3, 7, 11, 13
NOTICE: I completely forgot to
assign recommended HW problems for sections 15.1 and 15.2. So,
15.1 and 15.2 will not appear on exam 3. Don't worry though, you
will see plenty of double integrals on exam 4.
6/8 — Exam 3 Formulae and Enthusiastically
Recommended Problems
6/7 — Constrained Optimization and Double Integrals
6/6 — Directional Derivatives, Optimization, and Constrained
Optimization
- New notes (for sections 15.1
through 15.3). We will probably not get to these until Thursday.
- We will pick up in the notes where we left off last time.
- Recommended HW:
14.6: 21, 23, 25, 29, 33, 41, 45, 51, 57, 63, 65
14.7: 5, 9, 13, 15,
29, 33, 35,
41, 43, 45,
51
14.8: 3,
5, 7, 9, 11, 15, 31, 33, 35,
6/5 — Partial Derivatives Continued
- Exam 1 Grades
- Notes for sections 14.5
through 14.8. We will pick up in class from where we left off
with the notes from last time.
- Recommended HW:
14.3: 43, 47, 51,53, 55, 61, 63, 65, 71, 75, 77, 79, 89, 93, 97
14.4: 3, 5, 13, 19, 21, 25, 29, 33, 42
14.5: 5, 9, 11, 13, 17, 19, 23, 39, 45, 53, 55
14.6: 7, 9, 11, 13, 15
NOTICE: I made a mistake in writing
out the section numbers for the Enthusiastically Recommended
Problems. It is too late to add new problems to the list, so
there will be NO enthusiastically recommended problems. Exam 2
will look like the regular recommended HW problems.
6/1 — Exam 2 Formulae and Enthusiastically
Recommended Problems
5/31 — Functions of Several Variables and Their Calculus
- Today's Notes
- Recommended HW:
14.1: 5, 11, 13, 17, 19, 21, 29, 32, 47, 59-64, 69, 78
14.2: 7, 9, 11, 13, 15, 29, 31, 33, 39
14.3: 5, 15, 17, 21,25,
27, 29, 31, 33, 37, 39, 43, 47, 51, 55, 61, 63, 65, 71,
75, 77, 79, 89, 93, 97
14.4: 3, 5, 13,
19, 21, 25, 29, 31, 33, 42
NOTE: The struckthrough
problems will not be on exam 2, but may be on later exams. The green problems have been added
to the list more recently than the rest.
5/29 — Space Curves and their Calculus continued
5/29 — Space Curves and their Calculus
- Notes for the rest of 13.2 through
13.4
(Note that we did not complete 13.1 in class last week. We will
be picking up where we left off, don't forget to bring the notes we
didn't get to last week.)
- Recommended HW:
13.3: 1, 5, 11, 13, 17, 19, 21, 47, 49, 53, 59
13.4: 9, 13, 15, 17, 19, 37, 39
5/25 — Here
is some information about the first exam, including the formulae that
will be given to you on the exam and a few challenging problems, at
least one of which will appear on the exam.
Don't forget to complete the questionnaire.
5/24 — Equations of Planes, Cylinders and Quadric Surfaces, Space Curves
- Notes for sections 12.6 through
13.2
- Recommended HW:
12.6: 11, 15, 19, 21 through 28 all
13.1: 1, 3, 5, 7, 11, 21 through 26 all, 27, 41, 43
13.2: 3, 5, 9, 11, 15, 17, 19, 25, 43, 45, 47, 51, 55
5/23 — Dot Products, Cross Products, and Equations of Lines and Planes
- Final draft of today's notes.
I will assume that you have a copy of these in front of you today.
- Here's that Super
Sexy Multivariable Grapher I showed you in class yesterday. (Needs
Java, for more info see
Professor Seeburger's site)
- Recommended HW:
12.3: 11, 15, 17, 19, 21, 23, 27, 39, 41, 43, 45, 55, 59
12.4: 1,3, 5, 9, 11, 13, 19, 23, 31, 33, 37,49, 51, 53
12.5: 1, 3, 5, 9, 13, 17, 25, 29, 31, 35, 39, 51, 53
5/22 — Welcome to
Calculus III — Let the games begin..
Announcements:
Recitation WILL meet at 6:00 PM in NSC 215
Recommended Homework:
12.1: 3,7,9,11,13,15,21, 23, 29,
31, 33
odd
12.2: 1,3,4,11, 15, 21, 23, 31,37,43
12.3: 1 - 7 odd, 13
Widgets:
Notes:
12.1,
12.2, 12.3
(These are notes
from a previous course that I taught)
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