Math 2130 Sections 101 & 102 Homepage
News & Announcements
12/09 Final grades are posted!
Final exam grades and course averages are posted on AsULearn.
Your course letter grade is posted as a comment/feedback on the final course average.
If you'd like to see you final exam, I keep them in my office for at least a year or two.
I need to keep them on record for at least a year, but you can certainly come look at it
(and I'll go over any questions you have).
Also, just because this class is over, don't feel like you can't ask me questions. If you
every have a question mathematical or otherwise, stop by my office or send me an email.
I'm happy to help if I can!
Merry Christmas!
12/02 We will have a review session in Walker 309 (our regular classroom) on Wednesday (9am until whenever).
I'll be in my office by 8am on Wednesday.
There are several old final exams (with answer keys) posted. They're your best study tool.
Beware that the finals from 2011 or earlier include irrelevant review problems. You are
just responsible for Chapter 16 and our supplemental problems: Vector Calculus [Source: (.tex)]
11/25 The Big Theorems [Source: (.tex)]
11/20 Video Lecture: Section 16.5: Surface Integals (50mins)
11/18 Supplemental Problems: Vector Calculus [Source: (.tex)]
11/12 Brian Nobles will be offering a review session on Sunday (Nov. 17)
from 6pm until about 8pm in Walker 309 (our usually classroom).
Thanks Brian!
Test #3 is Monday (November 18th). It covers Chapter 15 & Section 16.2 as well as the handouts on
Double Riemann sums and vector fields.
Relevant handouts:
Double Riemann Sums Supplemental Homework (.pdf) [Source: (.tex)]
Vector Fields [Source: (.tex)]
Examples:
Spherical Cap Example (.pdf) [Maple: (.mw)]
Examples of centroids handout [Source: (.zip)]
Triple Integral Example (.pdf) [Maple: (.mw)]
Triple Integral Example (.pdf) [Maple: (.mw)]
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:
$\int_C {\bf F}\,{\bf\cdot}\,{\bf n}\,ds = \int_C -N\,dx+M\,dy \quad$ where $\quad {\bf F} = \langle M,N \rangle$.
The few problems that relate to Section 16.2 and probability density functions are noted below (see Fall 2009).
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:
Summer 2019 Test #3: All of it.
Fall 2016 Test #3: All of it.
Final Exam: Problem 1c [=Sec. 16.2].
Summer 2016 Test #3: All of it.
Spring 2016 Test #3: All of it except problem 1b.
Summer 2015 Test #3: All of it.
Fall 2014 Test #3: All of it except problem 1b and 1c.
Final Exam: Problem 1b [=Sec. 16.2].
Summer 2014 Test #3: All of it.
Fall 2013 Test #3: All of it except problem 1b and 1c.
Final Exam: Problem 1a [=Sec. 16.2].
Spring 2013 Test #3: All of it.
Fall 2012 Test #3: All of it.
Spring 2012 Test #3: All of it except in problem 7 skip divergence, curl, and 7d.
Fall 2011 Test #3: Problems 1-5 and 6b [=Sec. 16.2].
Spring 2011 Test #3: All except problem 3.
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.
11/08 Divergence, Curl, and Forms [Source: (.tex)]
11/06 Supplemental Problems: Vector Fields [Source: (.tex)]
11/04 Spherical Cap Example (.pdf) [Maple: (.mw)]
Examples of centroids handout [Source: (.zip)]
10/28 Handout - Triple Integral Example (.pdf) [Maple: (.mw)]
In class - Triple Integral Example (.pdf) [Maple: (.mw)]
10/22 Double Riemann Sums Supplemental Homework (.pdf) [Source: (.tex)]
10/17 Brian Nobles kindly offered to hold a Test #2 review session on
Sunday (Oct. 20th) at 6pm (until 8ish) in our regular classroom (WA 309) WA 103A.
Thanks Brian!!
10/16 Don't forget that Maple Homework #2 is due on Wednesday (after the test).
Homework #2 (.mw) is due Wednesday, October 23rd.
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 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...
Summer 2019 Test #2: All of it
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
10/07 Oh no! I forgot to post links to our handouts...here they are:
Quadratic Approximations Handout (.pdf) and Maple worksheet
with Problem Answers (.mw) [HTML Export of Problem Answers]
Differentiability (.pdf) [Source: (.tex)]
09/17 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.
Our handout is worth studying: Differential Geometry Summary (.pdf) [Source: (.tex)]
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 last year so there are a few topics that aren't
as relevant and a few that are missing. For example, you won't find much referencing torsion.
Also, keep in mind that most 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.
Summer 2019 Test #1: all of it. <-- This is the only test based on our current text.
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
09/16 Quiz #3 Answer Key (.pdf) [Source: (.mw)]
09/13 Brian Nobles (my teaching apprentice) has kindly offered to hold a review session
next Friday (Sept. 20th) in preparation for our first Test. The review session
will be held in Walker 309 (our regular classroom) from 6pm (until whenever).
Please come with good questions!
A handout for next week...
Differential Geometry Summary (.pdf) [Source: (.tex)]
Last fall we lost a bunch of days due to hurricanes and flooding (or the
threat of such anyway). Here are some videos I made...
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.
08/27 Introduction to Maple (video 35 mins) and a Maple intro summary sheet (.pdf) [Source: (.tex)]
08/12 Syllabus, Schedule, Suggested Homework updated.
asULearn updated.
Maple homework assignments are posted...
Homework #1 (.mw) is due Friday, September 20th.
Homework #2 (.mw) is due Wednesday, October 23rd.
Homework #3 (.mw) is due Tuesday, November 12th.
Homework #4 (.mw) is due Monday, December 2nd.
I have many many examples of how to use Maple on my Maple examples page.
We will have an introduction to Maple soon.
Math Lab (Free Tutoring) Fall 2019 Information...
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Greetings, all!
There are three math tutoring labs available to assist our students this semester:
General Help Lab: Sundays through Thursdays 5-8 pm, Walker 103A (Lisa)
MAT 0010/1010 Help Lab: Mondays through Thursdays 5-7 pm, Walker 105 (Lisa)
MAT 1035 Help Lab: Mondays through Thursdays, 5-8 pm, Walker 309 (Genie)
All three tutoring opportunities will begin Monday, August 26th. There is a
possibility that the General Help Lab will open earlier; if this occurs I
will notify you.
Lisa Maggiore (Math lab faculty supervisor)
Note about the lab(s):
The Math Help Labs are available to provide additional help to students
with a desire to have a comprehensive understanding of the mathematical
topics covered in their class. Tutors are there to help enhance your
learning; they do not serve as a substitute for going to class and they
are not there to do your work for you. Students work individually, or
with others in their class, and request help from tutors who are
standing by to answer questions. Preference in assistance will be given
to students who attend class regularly, and who exhibit a strong desire
to master the material.
How to use the lab:
Bring all necessary materials with you (laptop, textbook, class notes,
etc.). When you come into the lab, sign in on the computer on the
podium in the front of the room using your AppState username. Find a
seat, and begin your work. When you need assistance, get the attention
of a tutor by raising your hand, and someone will come to assist you
shortly. Before you leave, be sure to sign out at the computer in the front!
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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 MTWF 08:00am-08:50am in WA 309
MAT 2130 Section 102
CALCUL ANALY GEOM III
Meeting Times MWF 09:00am-09:50am in WA 309
T 10:00am-10:50am in WA 309
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