Math 2130 Section 101 Homepage
News & Announcements
08/04 Final grades have been sent out.
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") - it would be nice to meet in person some day!
I hope you all have a great summer (what's left of it anyway)!
07/29 The Final Exam is Tuesday, August 4th at 8am (during our regular class period).
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)]
[You may skip 16.1 which was covered on Test #1. The parts of Chapter 16 covered on
Test #3 are worth reviewing in preparation for the final.]
Unlike the previous tests, I won't provide formulas on the final exam. But I will allow a page of
notes. Please, prepare a page of notes for the final exam. On your page include any formulas
and worked out examples you might need. Preparing your page will likely help you prepare for the exam.
Anything you want is fair game for this page: theorem statements, trig formulas, coordinate transforms,
Jacobians, examples, motivational poetry, doodles, etc. I suggest at the very least to include spherical
coordinate formulas and statements of the Big Theorems.
Grades: If you score higher on your final exam than your lowest test, I will replace that test score
with the final exam score. So if your tests were 75, 85, and 77 but you make an 80 on the final,
your scores become 80, 85, 77, (and 80 on the final). Thus the final presents a possibility of
helping more than hurting!
07/28 Links to our handouts...
Divergence, Curl, and Forms [Source: (.tex)]
Supplemental Problems: Vector Calculus [Source: (.tex)]
The Big Theorems [Source: (.tex)]
Verify Stokes' Example
Announcements for the upcoming week (7/28-8/04)...
Lowest homework dropped.
Final Exam score can replace lowest test score. (if it helps)
Prepare a page of notes for the final.
Notes on Grades: During a regular semester I usually drop a lowest quiz.
However, I don't usually do this during the summer since we don't
have many quizzes. Instead I tend to curve a little. On the other hand,
I will drop your lowest homework. This means that if you already
have scores you're happy with on the first three Maple homeworks, you
may skip the last one (and I will drop that zero).
I will replace your lowest test with the final exam score (if it helps).
So if your lowest test score was a 50 and you score 80 on the final exam,
the 50 will be replaced by 80 in final grade calculations.
Maple Homework #3 was due Yesterday (Monday)!
Maple Homework #4 is due next Monday.
Please turn in your homework via email no later than 6pm.
Monday (YESTERDAY) Homework #3 WAS DUE!!!
If you didn't get a "Got it!" email assume I didn't get it and resend it ASAP!!!!!
Watch up to "Conservative VFs,..., and FTLI"
We met at 8 and 9am to answer questions and review for the test.
Tuesday (TODAY): Test #3.
(Hopefully I will have it graded tomorrow.)
Wednesday: Watch up to "Green's Theorem"
We meet at 9am for questions.
Thursday: Watch up to "Flux through a Triangle (Example)"
We meet at 9am for questions.
Friday: Watch up to "Divergence Theorem Examples"
We meet at 9am for questions.
Monday: Quiz #4: Covers up through Thursday's videos (sections 16.4-16.6).
We meet at 8am for questions, the quiz, and final exam review.
Also, Homework #4 is due by 6pm.
If I don't receive Homework #4 by the end of the day, I will assume you are not turning it in and
are just planning on dropping that zero.
Tuesday (August 4th): FINAL EXAM -- Log in at 8am and I will send out your final (via email).
(See course webpage for Final Exam details -- posted soon.)
07/22 Test #3 is Tuesday (July 28th). 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.
07/21 Links to our handouts...
Double Riemann Sums Supplemental Homework (.pdf) [Source: (.tex)]
Triple Integral Example #1 (.pdf) [Maple: (.mw)]
Triple Integral Example #2 (.pdf) [Maple: (.mw)]
Spherical Cap Example (.pdf) [Maple: (.mw)]
Examples of centroids handout [Source: (.zip)]
Supplemental Problems: Vector Fields [Source: (.tex)]
Announcements for the upcoming week (7/21-7/28)...
Maple Homework #2 was due Yesterday (Monday)!
Maple Homework #3 is due next Monday.
Please turn in your homework via email by the end of the day. 5ish would be great.
Monday (YESTERDAY): Homework #2 WAS DUE!!!
If you didn't get a "Got it!" email assume I didn't get it and resend it ASAP!!!!!
Watch up to "Integration over General Regions: Double Integral Examples"
We met at 8 and 9am to answer questions and review for the test.
Tuesday (TODAY): Test #2.
(Hopefully I will have it graded tomorrow.)
Wednesday: Watch up to "Change of Variables and Jacobians"
We meet at 9am for questions.
Thursday: Watch up to part of "Cylindrical and Spherical Integral Examples"
Quiz #3: Covers up through Monday's videos (sections 15.1-15.3).
We meet at 8am for questions and the quiz.
Friday: Watch up to "Vector Fields and Line Integrals"
We meet at 9am for questions.
Monday: Watch up to "Conservative VFs,..., and FTLI"
We meet at 8am and 9am for questions and test review.
Also, Homework #3 is due (by 5ish).
Tuesday: Test #3 -- Log in at 8am and I will send out your test (via email).
(See course webpage for Test #3 details -- posted soon.)
07/14 Test #2 is Tuesday (7/21). 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
07/13 Links to our handouts...
Quadratic Approximations Handout (.pdf) and Maple worksheet
with Problem Answers (.mw) [HTML Export of Problem Answers]
Differentiability (.pdf) [Source: (.tex)]
Announcements for the upcoming week (7/13-7/21)...
Maple Homework #1 is due Today (Monday)!
Please turn in your homework via email by the end of the day. 5ish would be great.
Monday: Watch up to "Error and Total Derivatives"
Maple homework #1 due. We met at 9am to answer questions.
Tuesday: Watch up to "(Multivariable) Quadratic Approximations"
We meet at 9am for questions.
Wednesday: Watch up to "(Multivariable) The Chain Rule"
Quiz #2: Covers up through Monday's videos (sections 14.1-14.3).
We meet at 8am for questions and the quiz.
Thursday: Watch up to "Directional Derivatives" and some of extremas.
We meet at 9am for questions.
Friday: Watch up to "Lagrange Multipliers" and Riemann Sums (to be posted...very soon)
We meet at 9am for questions.
Monday: Watch up through setting up double integrals (to be posted...very soon)
We meet at 8am and 9am for questions and test review.
Also, Homework #2 is due (by 5ish).
Tuesday: Test #2 -- Log in at 8am and I will send out your test (via email).
(See this webpage for Test #2 details -- posted soon.)
07/07 Upcoming assignments/meetings:
Maple Homework #1 is due Monday, July 13th.
Please turn in your (completed) Maple file and send it via email by the
end of the day Monday. 5ish would be great.
In case I didn't emphasize it enough: You should know about the Math Lab (free tutoring
center). This summer's math lab meets via Zoom. Its hours of operation are Monday through
Thursday from 5 to 8pm. The lab's Zoom link is: https://appstate.zoom.us/my/genmatlearninglab.
Wednesday: Watch videos up through "Center of Mass / Centroid: Curves"
(this is the end of material covered on Test #1).
I will log in at 9am to answer questions.
Thursday: Watch next two videos (up to "(Multivariable) Limits and Continuity").
I will log in at 8am (and again at 9am) to answer questions
review for the test.
Friday: Test #1 -- Log in at 8am and I will send out your test (via email).
(See Test details below.)
Monday: Watch up through "(Multivariable) Differentiability"
Maple Homework #1 is due.
Test #1 is Friday at 8am:
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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 summer school tests are longer because fall/spring tests are designed
for 50min classes.
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
07/02 We met at 9am to answer questions. We just had a few logitics questions - no math.
Next we meet Monday at 8am for Quiz #1. This quiz will cover 12.1-12.4 (videos
up to and including "The Cross Product: Geometrically").
I have just posted Maple homework assignments for this class:
Homework #1 is due Monday, July 13th.
Homework #2 is due Monday, July 20th.
Homework #3 is due Monday, July 27th.
Homework #4 is due Monday, August 1st.
There are many examples up on my Maple Examples page.
You can find all of these homeworks and a few old homeworks and answer keys here
07/01 Met at 8am to introduce ourselves and discuss syllabus and logistics.
We will meet at 9am tomorrow (Thursday) to answer questions.
Videos? Watch up through both cross product videos today and tomorrow.
Quiz Monday covering "What is dimension?" up to "The Cross Product: Geometrically" (12.1-12.4).
Note: Had the wrong section numbers on the tentative syllabus (copied from an
old text). Update: FIXED.
06/30 We meet tomorrow at 8am via Zoom to discuss the syllabus and logistics.
[You will need a password for the Zoom meeting - I will email it to you.]
Feel free to check out the first few videos: Math 2130 Videos.
We will have several Maple assignments throughout the term. Several videos
reference demos that can be found on my Maple Examples page.
I will provide a link & activation code so you can download Maple for free.
Alternatively, you can access Maple and other software by logging on to a campus
lab computer using udesk.appstate.edu
You should be aware of the Math Lab – free tutoring for Math 2130 (and other math classes).
More information about the Math Lab can be found at https://mathsci.appstate.edu/programs-courses/resources/math-tutor-lab.
This summer's math lab meets via Zoom. Its hours of operation are Monday through Thursday from 5 to 8pm.
The lab's Zoom link is: https://appstate.zoom.us/my/genmatlearninglab.
06/22 Course Data
MAT 2130 Section 101
CALCUL ANALY GEOM III
Meeting Times MTWRF 08:00am-10:10am ONLINE
[Dates: 07/01-08/04]
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