Math 2130 (Spring 2024) Homepage

News & Announcements

5/03
Done! Grades are in. If you would like to look over your exam, I'll keep them around for a couple years. Also, if you ever have any questions mathematical or otherwise, my door is open.

Stop by or email anytime - even just to say "Hi"!

4/26
Last week! Schedule/notes:
  • Monday - More divergence and Stokes theorem examples
    Also, Homework #4 (.mw) is due.
  • Tuesday - More divergence and Stokes theorem examples
  • Wednesday - Final examples & review
  • Thursday - Review Session at 8am in Walker 304 [our regular classroom]
    I don't plan to do anything really structured. Just come prepared with questions!
    In the past this kind of thing tends to last between 1 & 2 hours depending on how many
    questions everyone has. Feel free to show up late/leave early.
  • Friday - Final Exam at 8am-10:30ish
    • Old finals from the last 10+ years are good for review
    • You may bring one page of notes (one side regular sized paper) to the exam.
      Include any formulas, theorems, examples, etc. that you think you might need.
4/17
Our final Maple Homework:
Homework #4 (.mw) is due Monday, April 29th.

Note: I will drop your lowest Maple Homework score, so this one is kind of "optional".

4/08
Reminders:
Homework #3 (.mw) is due Monday, April 8th (today).
• We have a quiz on Wednesday (4/10).
• Test #3 is next Monday (4/15).

Upcoming (Final) Handouts:
Divergence, Curl, and Forms [Source: (.tex)]
• Supplemental Problems: Vector Calculus [Source: (.tex)]
The Big Theorems [Source: (.tex)]
Verify Stokes' Example [Source: (.tex)]

Possibly Helpful:
Lost Supplemental Line Integral Notes

Our last Maple Homework is due at the end of the month:
Homework #4 (.mw) is due Monday, April 29th.


Test #3 is Monday, April 15th. It covers Chapter 15 as well as the handouts on double Riemann sums and vector fields.

Relevant handouts: Example Handouts: I also recommend checking out my multiple integral Maple examples which contain numerous examples of setting up triple integrals.

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:
• $J = \rho^2\sin(\varphi)$.
and a double angle identity. If I give a center of mass or centroid problem, I will provide formulas for mass and moments.

As usual, your best tool for studying is my old test. Here is our list of relevant problems from Old Exams:
  • Test #3's from Spring 2012 up to Spring 2021 [with some minor modifications]
    • Summer 2019 skip #1
    • Fall 2016 skip #1b
    • Spring 2016 skip #1b
    • Fall 2014 skip #1b & #1c
    • Fall 2013 skip #1b & #1c
    • Spring 2012 skip #7
  • Summer 2016
    • Test #2: 2
  • Fall 2011
    • Test #3: 1-5
  • Spring 2011
    • Test #3: All of it except problem 3
  • Fall 2009
    • Test #3: All of it (includes a prob. dens. function problem)
    • Final Exam: 3 (a prob. den. function problem)
  • Fall 2007
    • Exam #2: 3-6
  • Spring 2007
    • Exam #2: 3,4,6,8
    • Final Exam: 5-7
  • Spring 2006
    • Exam #2: 1-4
  • Fall 2005
    • Exam #2: 4-7
4/03
Recent handouts:
• Double Riemann Sums Supplemental Homework (.pdf) [Source: (.tex)]
Triple Integral Example (.pdf) [Maple: (.mw)]
Triple Integral Example (.pdf) [Maple: (.mw)]
Spherical Cap Example (.pdf) [Maple: (.mw)]
• Also, the Maple examples in Multiple Integrals [multiple_integrals.mw]
    should be quite helpful for understanding the process of setting up triple integrals.
Examples of centroids handout [Source: (.tex)]
Vector Fields [Source: (.tex)]

4/01
Homework #3 (.mw) is due Monday, April 8th.

3/07
After break we will finish up Lagrange multiplier examples and then discuss (double) Riemann sums. Here's some upcoming stuff and Test #2 review material...

• Monday (after the break) Handout:
    Double Riemann Sums Supplemental Homework (.pdf) [Source: (.tex)]
Test #2 is Wednesday (March 20th).
Homework #2 is due Monday, March 25th.

I plan to finish new material Monday and then review for the test on Tuesday.

Test #2 will cover Sections 12.6 and 14.1-14.9 as well as our handouts on Quadratic Approximations (.pdf) [Answers (.mw) or (.html)], Differentiability (.pdf) [Source: (.tex)], and Double Riemann Sums (.pdf) [Source: (.tex)]
[I have decided to wait off on the Riemann sum stuff until Test #3.]

For the most part, all Test #2's are relevant. In particular, relevant old tests/test problems:
  • Spring 2011 up to Spring 2021
    • Test #2: all of it except...
      • Summer 2016 skip #2
      • Spring 2012 skip #7
      • Fall 2011 skip #10 (both sections)
  • Fall 2009
    • Test #2 Section 101: 2,3,4,5,7,8
    • Test #2 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
2/21
Homework #2 (.mw) is due Monday, March 25th.

Links to upcoming handouts:
2/12
Reminders:
Test #1 is Monday (February 17th).
• I plan to give you the same formulas as on the last few Test #1's.
Homework #1 (.mw) is due Friday (February 16th).

Test #1 covers the parts of sections 11.1, 11.2, 12.1-12.5, 13.1-13.5, & 16.1 we discussed in class. Our handout is worth checking out:
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 several years ago 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 those classes have more time to take tests.

Studying old tests is helpful, but make sure you also look over your notes from class and try lots of suggested homework problems.

Relevant old tests/test problems:
  • Spring 2012 up to Spring 2021
    • 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
  • [Honors Class] Rutgers Fall 2007
    • Exam #1: 1, 2, 3, 4, 5a
    • Exam #2: 7
  • [Honors Class] Rutgers Spring 2006
    • Exam #1: 1, 2, 3a, 3b, 6a
    • Exam #2: 8
1/23
Here's a Maple Summary Sheet [Source: (.tex)] and a Introduction to Maple (.mw) worksheet.

Don't forget that Homework #1 (.mw) is due Friday, February 16th.

Note:
Maple Examples page
• Some Old Math 2130 Homeworks with keys

1/05
Syllabus, Schedule, Suggested Homework updated.
asULearn and Pearson [not active until 1/15] updated as well.

Maple homework assignments are posted...
Homework #1 (.mw) is due Friday, February 16th.
Homework #2 (.mw) is due Monday, March 25th.
Homework #3 (.mw) is due Monday, April 8th.
Homework #4 (.mw) is due Monday, April 29th.

I have many many examples of how to use Maple on my Maple examples page.
We will have an introduction to Maple well before the first assignment is due.

Extra Help?
There are various free tutoring options available. However, free tutoring is really mostly aimed introductory courses like Calculus 2 or below. Still you might find that some of our tutors can help with more advanced courses.
Note: In the case of inclement weather, all tutoring will move to Zoom from 5-10pm. Tutoring starts on Monday, January 22nd. Schedules may vary around breaks or the end of the semester.