Math 2130 Sections 101 & 102 Homepage
News & Announcements
12/07 Final Grades are in!
I just posted final grades on asULearn. Your final exam grade as well
as your final course average are posted. Your course letter grade is posted as
a comment on the final course average.
If you'd like to see your exam, stop by my office some time. I'll keep them around
for at least a year or two.
Just because this class is over, don't feel like you can't ask me questions.
If you ever have a question mathematical or otherwise, please stop by my office
or send me an email. I'm glad to help if I can! And.....
Have a Merry Christmas and a wonderful break!
12/04 We will have a review session on Thursday from 3:30pm until whenever. I reserved room Walker 309.
I don't have anything structured planned. Come prepared with questions! :)
11/28 Snow?!? Oh well, (face to face) class is canceled. Instead you get a video:
Finishing 16.5 & 16.6: Center of mass for a surface, orienting surfaces, & flux integrals. [58 mins]
Friday: Last quiz covers 16.4, 16.5, & curl/divergence. Make sure you check out problems from
the first page of the supplemental vector calculus problems handout.
Monday: Homework #4 is due.
11/20 Handout for after the break... Supplemental Vector Calculus Problems (.pdf) [Source: (.tex)]
11/16 8am class is cancelled due to the ice storm. I have posted a video: Quiz #6 Answer Key + Section 16.3 Catch Up [40 mins]
This video goes over answers to Tuesday's quiz. It also re-does and extends an example from Wednesday
where I show a 3D vector field is conservative, compute a potential function, and then use the
fundamental theorem of line integrals to compute a line integral. Then I give an example of a 2D
vector field whose "mixed partials" pass our test for being conservative but the field is NOT
conservative. This can happen because even though the test is passed, it passes on a domain which
is NOT simply connected. Finally, I show that conservative vector fields obey a conservation of
energy law.
So most of the video is finishing up 16.3 - which is NOT on Monday's test. For information about Monday's
test, see the post immediately below...
I will be in my office most of the morning (except for 11-11:50 when my other section meets and for the
next bit of time while I make a video in 308 for my other class). Feel free to stop by my office if you
have any questions. Also, I *can* be available this afternoon. If you want to meet with me 2:30ish-5ish,
let me know what time and I can make sure I'm in my office.
11/14 Test #3 is Monday. It will cover Chapter 15 and section 16.2.
I will provide the change of coordinate formulas for rectangular to spherical coordinates:
$x=\rho\cos(\theta)\sin(\varphi), y=\rho\sin(\theta)\sin(\varphi), z= \rho\cos(\varphi)$.
as well as the spherical coordinates Jacobian:
$J = \rho^2\sin(\varphi)$.
If I give a center of mass or centroid problem, I will provide formulas for mass and moments.
If I give a flux problem (see section 16.2), I will provide a formula for a flux line integral:
$\int_C {\bf F}\,{\bf\cdot}\,{\bf n}\,ds = \int_C M\,dy-N\,dx$ where ${\bf F} = \langle M,N \rangle$.
Some recent handouts:
Triple Integral Example (.pdf) [Maple: (.mw)]
Spherical Cap Example (.pdf) [Maple: (.mw)]
Examples of centroids handout [Source: (.zip)]
Our new textbook does not have double Riemann sum problems, related problems on old tests
can be skipped. The few problems that relate to Section 16.2 and probability density functions
are noted below. Beware: None of the problems involve computing means for prob. dens. functions.
Old exams are posted here
Here are a list of relevant review problems:
Spring 2018 Test #3: Problems 4-9 (No answer key posted).
Fall 2016 Test #3: Problems 3-8.
Final Exam: Problem 1c [=Sec. 16.2].
Summer 2016 Test #3: All of it.
Spring 2016 Test #3: Problems 3-8.
Summer 2015 Test #3: Problems 2-9.
Fall 2014 Test #3: Problems 3-8.
Final Exam: Problem 1b [=Sec. 16.2].
Summer 2014 Test #3: Problems 2-9.
Fall 2013 Test #3: Problems 3-7.
Final Exam: Problem 1a [=Sec. 16.2].
Spring 2013 Test #3: Problems 2-7.
Fall 2012 Test #3: Problems 2-6.
Spring 2012 Test #3: Problems 1-7.
Fall 2011 Test #3: Problems 1-5 and 6b [=Sec. 16.2].
Spring 2011 Test #3: Problems 2 and 4-7.
Fall 2009 Test #3: All of it (includes a prob. dens. function problem).
Final Exam: Problem 3 (a prob. den. function problem).
Fall 2007 Exam #2: Problems 3-6.
Spring 2007 Exam #2: Problems 3,4,6, and 8.
Final Exam: Problems 5-7.
Spring 2006 Exam #2: Problems 1-4, and 6a [=Sec. 16.2].
Fall 2005 Exam #2: Problems 4-7.
11/07 Due date changed: Homework #3 (.mw) is due Friday, Novermber 9th Monday, November 12th.
10/23 Triple Integral Example (.pdf) [Maple: (.mw)]
Spherical Cap Example (.pdf) [Maple: (.mw)]
Examples of centroids handout [Source: (.zip)]
10/18 Test #2 is Monday. It will cover Sections 12.6 and 14.1-14.9 as well as our handouts on
Quadratic Approximations (.pdf) [Answers (.mw) or (.html)] and Differentiability (.pdf) [Source: (.tex)]
The material in our new textbook lines up pretty well with our old text, so these old
tests should be of value when studying. For the most part, Test #2's are relevant.
Specifically, you might want to look at these old tests...
Fall 2016 Test #2: All of it
Summer 2016 Test #2: All but #2
Spring 2016 Test #2: All of it
Summer 2015 Test #2: All of it
Fall 2014 Test #2: All of it
Summer 2014 Test #2: All of it
Fall 2013 Test #2: All of it
Spring 2013 Test #2: All of it
Fall 2012 Test #2: All of it
Spring 2012 Test #2: All but #7
Fall 2011 Test #2: All but #10 (both sections)
Spring 2011 Test #2: All of it
Fall 2009 Test #2 Section 101: 2,3,4,5,7,8
Section 102: 2,3,4,5,6b,7,8
Fall 2007 Exam #1: 6,7,8
Exam #2: 1,2
Spring 2007 Exam #1: 1,4,6,8,9
Exam #2: 1,5
Sample Final: 3,4
Spring 2006 Exam #1: 4,5,6,7
Fall 2005 Exam #1: 1,3,4,5,8
Exam #2: 2,3
10/02 Handouts for upcoming classes:
Quadratic Approximations Handout (.pdf) and Maple worksheet
with Problem Answers (.mw) [HTML Export of Problem Answers]
Differentiability (.pdf) [Source: (.tex)]
09/21 Differential Geometry Summary (.pdf) [Source: (.tex)]
Test #1 is Monday.
The test will cover the parts of sections 11.1, 11.2, 12.1-12.5, 13.1-13.5, & 16.1.
Old tests can be found here.
While old tests are a good resource for getting an idea of what kinds of things I like
to ask. Keep in mind that we switched textbooks so there are a few topics that aren't
as relevant and a few that are missing. For example, you won't find any problems
referencing torsion. Also, keep in mind that summer school tests are too long for us.
Studying old tests is helpful, but make sure you also look over your notes from class
and try lots of suggested homework problems.
Spring 2018 Test #1: all of it.
Fall 2016 Test #1: all of it.
Summer 2016 Test #1: all of it.
Spring 2016 Test #1: all of it.
Summer 2015 Test #1: all of it.
Fall 2014 Test #1: all of it.
Summer 2014 Test #1: all of it.
Fall 2013 Test #1: all of it.
Spring 2013 Test #1: all of it.
Fall 2012 Test #1: all of it.
Spring 2012 Test #1: all of it.
Fall 2011 Test #1: all of it.
Test #3: 6
Spring 2011 Test #1: all of it.
Final Exam: 1ab, 2, 5
Fall 2009 Test #1 Section 101: 1, 2, 3a, 3c, 5b, 6
Test #1 Section 102: 1, 2, 3, 5, 7b, 7c, 8
Test #2 Sections 101 & 102: 1
Final Exam Sections 101 & 102: 1, 4
Rutgers Spring 2007 Exam #1: 2, 3, 5, 7
Exam #2: 2
Sample Final Exam: 1, 2
Rutgers Fall 2005 Exam #1: 2, 6, 7, 9
Exam #2: 9
Possibly More Challenging Problems (From Honors Classes):
Rutgers Fall 2007 Exam #1: 1, 2, 3, 4, 5a
Exam #2: 7
Rutgers Spring 2006 Exam #1: 1, 2, 3a, 3b, 6a
Exam #2: 8
09/17 Section 16.1 covers line integrals with respect to arc length and center of mass for a bent wire.
Here are corresponding videos...
Line Integrals (of scalar valued functions) [19 mins]
Center of Mass for Curves [18 mins]
More Centroid Examples [16 mins]
Classes are canceled tomorrow (Tuesday), but I plan on coming in to hold some office hours.
Specifically, I plan on coming in by 8am and sticking around until at least 12pm. I'm less
sure about being around in the afternoon.
If you'd like to stop by to get help with Maple, tomorrow morning would be a great time.
09/14 Review: TNB Frames [15 mins]
Section 13.4: Introduction to Curvature [28 mins]
Section 13.5: Torsion, T/N Comps. of Accel., & Nice Formulas [22 mins]
Supplemental Videos (you can skip these if uninterested)...
The Frenet Serret Formulas [9 mins]
Derivation of the Torsion Formula [10 mins]
Examples/Special Cases:
Helix, Circle, & Lines [23 mins]
--> This is a couple of extended examples where I compute the TNB-frame,
curvature, torsion, & comps. of accel.
Arc Length & Curvature for Graphs [7 mins]
--> This gives special formulas for when our curve is given by "y=f(x)".
I would also encourage you to take some time and explore my Maple Examples page.
Specifically, under Multivariable Calculus "Arc Length, Curvature, & TNB-Frames", "The Scribble Curve",
"Osculating Circles", and "TNB-Frame: A curve wrapped around a torus" are relevant to what we have been
discussing in chapter 13.
09/11 Maple homework assignments are now posted...
Homework #1 (.mw) is due Friday, September 21st.
Homework #2 (.mw) is due Wednesday, October 24th.
Homework #3 (.mw) is due Friday, Novermber 9th Monday, November 12th.
Homework #4 (.mw) is due Monday, December 3rd.
I have many many examples of how to use Maple on my Maple examples page.
08/10 Syllabus, Schedule, Suggested Homework updated.
asULearn updated.
Math Lab (Free Tutoring) Fall 2018 Information...
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Greetings, and Happy Fall Semester!!
The general math tutor lab will be open in Walker 103A, Mondays through
Thursdays, from 5 to 8 pm. We will have limited staffing on Wednesday
the 22nd from 6 to 8 pm and on Thursday the 23rd (5-8), and full staffing
beginning on Monday, the 27th.
Please let me know if you have any questions or concerns,
Lisa Maggiore (Math lab faculty supervisor)
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We will be using Maple (a computer algebra system) this semester...
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Our Maple license now allows students to download it for free.
We will discuss how to obtain Maple and an activation code in class.
The code is posted on your AsULearn coursepage.
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Course Data
MAT 2130 Section 101
CALCUL ANALY GEOM III
Meeting Times MWF 08:00am-08:50am in WA 308
T 08:00am-08:50am in WA 303
MAT 2130 Section 102
CALCUL ANALY GEOM III
Meeting Times MWF 11:00am-11:50am in WA 105
T 11:00am-11:50am in WA 209B
Course Title & Description:
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MAT 2130. Calculus With Analytic Geometry III (4 credits)
A study of parametric equations, vectors, vector-valued functions,
function of several variables, double and triple integrals, and
vector analysis.
Prerequisite: MAT 1120 (with a grade of C- or higher). (NUMERICAL
DATA) (ND Prerequisite: passing the math placement test or successful
completion of MAT 0010.)
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Any questions about this class?
Send me an email at cookwj@appstate.edu