Math 2130 Section 101 Homepage
News & Announcements
06/28 Final grades are in. I posted your final exam grade as well as your final course average
on AsULearn. Your letter grade is posted as a comment on your final course average.
If you would like to look over your exam, I will keep them around for at least a year
(probably much longer than that). Feel free to send me an email and arrange a time to
look over it.
If you ever have any questions about this class, other math classes, or whatever, my door
is open. Stop by anytime (even just to say "Hi").
I hope you all have a great summer!
06/25 Supplemental Vector Calculus Problems (.pdf) [Source: (.tex)]
06/21 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:
$\int_C {\bf F}\,{\bf\cdot}\,{\bf n}\,ds = \int_C -N\,dx+M\,dy$ 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:
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.
06/13 Integration handouts:
Triple Integral Example (.pdf) [Maple: (.mw)]
Spherical Cap Example (.pdf) [Maple: (.mw)]
Examples of centroids handout [Source: (.zip)]
06/12 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
06/06 Handouts for upcoming classes:
Quadratic Approximations Handout (.pdf) and Maple worksheet
with Problem Answers (.mw) [HTML Export of Problem Answers]
Differentiability (.pdf) [Source: (.tex)]
06/03 Differential Geometry Summary (.pdf) [Source: (.tex)]
Test #1 is Wednesday.
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
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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]
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.
05/25 Maple Examples and Maple Homeworks
Maple homeworks are posted here. These assignments
will be due on Thursdays (June 6, June 13, June 20, and June 27).
Just posted... syllabus, schedule, and suggested homework pages.
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Free Math Tutorial Center
General Math Lab is held in Walker 309 Monday-Friday 3-6pm. It opens the first day of
classes for each session.
It is intended for assistance in most 1000-2000 level Math coursework (except Math 1035).
This lab is staffed by math tutors, graduate assistants, and Math Department faculty.
Faculty Advisor - Lisa Maggiore (lm72407@appstate.edu)
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Hi, all!
We will hold the General Math Tutor Lab 3-6pm, Monday-Friday in Walker 309, the
first summer session. Staffing the lab will be our very experienced tutors,
Matt Hefner and Ansen Gunawan. Ansen is well-versed in statistics, as well as
other mathematical content. Please encourage your students to utilize the lab!
Let me know if you have any questions, or if I can support you in any way,
Lisa
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We may use "Maple" a few times this session. Maple is a "computer algebra system"
(math software) and is available -- theoretically -- on all campus computers.
Math majors are likely to encounter this software many times as they take courses
in their major. Geology, Physics, and several other majors may run into it again
as well. I will provide an installation code (on AsULearn). However, if you would
like to purchase a copy of Maple, you can get it for about
$75 with the discount code: AP97261-732EC
https://webstore.maplesoft.com
Maple & discount code information
Course Data
MAT 2130 Section 101
CALCUL ANALY GEOM III
Meeting Times MTWRF 10:20am-12:30pm in WA 314
[Dates: 05/28-06/28]
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