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Mee Seong Im (FALL 09-MATH241 MERIT AD7 with Tom Carty)

Email Address: mim2 (at) math (dot) uiuc (dot) edu [OR] mim2 (at) illinois (dot) edu
Mailing Address: 250 Altgeld Hall, 1409 West Green Street, Urbana, IL 61801
Office Address: 223 Illini Hall, 725 South Wright Street, Champaign, IL 61820 Location
Office Phone Number: 001-217-333-1898
Office Hours: 6-8PM Mondays in 145 Altgeld Hall



THE FILES ON THIS LINK ARE NO LONGER AVAILABLE TO THE PUBLIC AS OF THIS MOMENT. SORRY. --January 17, 2010--



Fall 2009 MATH 241 Calculus III Class Link (a link to instructor Tom Carty's website)


The textbook for MATH241 is Calculus, Sixth Edition by James Stewart.

The Calculus III course meets in Altgeld Hall in room 314 MWF 9-9:50AM from August 24, 2009 Monday to December 9, 2009 Wednesday with instructor Tom E. Carty. The final exam for this class will be given on December 17, 2009 Thursday, 8-11AM.

Merit discussion section AD7 will meet with me from 11-12:50PM on Tuesdays and Thursdays in room 173 Altgeld Hall. Here is the merit syllabus. Please read this as I will strictly adhere by it throughout the semester.



Here is the link to Illinois Compass. You can check your MATH199 grade by logging-in to your account.


NOTE: Proficiency exams for MATH241 are handled by the main office in Altgeld Hall in room 273.


Lecturer Tom Carty's Syllabus


Math 241 Office Hours

Office Hours by Day

MondayTuesdayWednesday
10AM: Tom in 121 Altgeld
11AM: Tim in 108 Altgeld
12PM: Sun in 341 Illini Hall
1PM: Sun in 341 Illini Hall
6PM: Mee Seong in 145 Altgeld Hall
7PM: Mee Seong in 145 Altgeld Hall 		10AM: Cancelled
11AM: Cancelled
12PM: Kunwoo in B4 Coble Hall
1PM: Anton in B13 Coble Hall
2PM: Anton in B13 Coble Hall
3:15PM: Qiang in 7 Illini Hall
4PM: Qiang in 7 Illini Hall 		10AM: Tim in 108 Altgeld
11AM: Tom in 121 Altgeld
12PM: Geremias in 110 Altgeld
1PM: Geremias in 110 Altgeld
2:50-3:50PM: Jin Won in 141 Altgeld
4PM: Ser-Wei in 341 Altgeld
5PM: Ser-Wei in 341 Altgeld

Homework: Go to this link or see above.


Quizzes: We had a quiz on MATH241 syllabus and this will be the only quiz for Tom's course.




Mock Exams and Selected Solutions: I strongly suggest that you don't just memorize the solutions to these problems. Instead, attempt them on your own without anyone else's help. When you're done solving a problem by yourself, go to the solution link and check your answer. If you get stuck, spend another 5 to 15 minutes thinking about the problem before you look at the answer.

To prepare for these exams, you should focus on homework problems, discussion worksheets, and lecture notes.
  • Tuesday and Thursday In-Class Mock Exams I from September 22, 2009 and September 24, 2009
  • Tuesday Night (Take-Home) Mock Exam I from September 22, 2009
  • Tuesday Mock Exams II from October 13, 2009
  • Tim's AD6 Mock Exam II
  • Tuesday Mock Exams III from November 10, 2009 IMPORTANT: On Mock Exam 3, Version 2, problem #33 has been REMOVED as of Tuesday Nov 10, 2009 1:25PM. Although you DO know how to change the domain D on the xy-plane to a new domain R on the rθ-plane, you don't know how to integrate over the new domain R on the rθ-plane. Problems dealing with double integration over general regions have been added as of Sunday Nov 8, 2009 3:00PM. Flow line problems have been added as of Saturday Nov 7, 2009 9:50AM. The exam will cover Taylor Polynomials up to double integration over general regions. (None of the problem should be hard at all but if it is, skip it and come back to it. Work on these problems thoroughly, correctly, and slowly (if you need to). These problems should help you to organize the most recent course material.)
  • Tim's AD6 Mock Exam III
    • Mock Exam 3 Version 3 Solutions
    • Question: what are the conditions for Fubini's theorem? That is, when can you use Fubini's theorem? As long as f is integrable (or f is continuous) on its domain, then you can switch the order of integration: ∫ ∫ f(x,y) dxdy= ∫ ∫ f(x,y) dydx.
  • Tuesday Mock Exam IV from December 1, 2009 Focus on HW13, HW14, and Stokes' Theorem. To be posted during the Thanksgiving break. Sorry about the typos. We wrote them in a hurry but hopefully, they're still helpful.
    SOME TYPOS:
    ★ On Mock Exam 4 Version 1 problem 7 part (e), it's too trivial the way it is stated. Change the sphere to x2+y2+z2 = 40.
    ★ On Mock Exam 4 Version 2 problem 3, it should be the paraboloid z = 5+x2+y2.
    ★ On Mock Exam 4 Version 2 problem 28d, this is called an ellipsoid, not elliptic paraboloid.
    ★ On Mock Exam 4 Version 2 problem 28f, it should be the part of the ellipsoid that lies in the first and the last octant and between the planes z=-2 and z=2.
    • Mock Exam 4 Version 1 Solutions
      TYPOS:
      ★ On page 5 problem 3, 0 ≤ Φ ≤ π/2 because the region is above the xy-plane.
      ★ On page 14 problem 10b, the Jacobian should be 8r, not r. Try computing it using x=x, y=4r cos θ, z=2r sin θ where 0 ≤ r ≤ 1 and 0 ≤ θ ≤ 2π. You should see that ∂(x,y,z)/∂(x,r,θ) =
      | xx xr xθ |
      | yx yr yθ | = 8r.
      | zx zr zθ |
    • Mock Exam 4 Version 2 Solutions - Problems 1-17 (The scanner that I regularly use is broken. We will have to scan the solutions between regular work hours, which are 9AM-5PM in Altgeld Hall on Wednesday or Thursday.)
      TYPOS:
      ★ On problem 6b, the normal vector should be N= Φx × Φθ = (0, -2 cos θ,- 2 sin θ). Since this is an inward-pointing normal vector, you need to use N = (0, 2 cos θ, 2 sin θ), which is an outward-pointing normal vector, in the calculation of flux. This means that 6c is also incorrect.
      ★ On problem 7b, r(θ)=(2 cos θ, 2 sin θ, 0), where 0 ≤ θ ≤ 2π.
      ★ On problem 8, the answer should be -1/(3323).
      ★ On problem 17b, the given surface is only the top half of a sphere of radius 1 centered at the origin. So in the integral, 0 ≤ φ ≤ π/2. Since you have cos φ sin φ in the integral, you can do a u-substitution. The answer should be π/6.
    • Mock Exam 4 Version 2 Solutions - Problems 18-30
      TYPOS:
      ★ On page 8 problem 24, the Jacobian is 2r, not r. Try computing the Jacobian when x=2r cos θ, y=y, z=r sin θ.
      ★ On page 31 problem 28f, 0 ≤ θ ≤ π/2.
  • I recommend that you do or redo the assigned Green's Theorem problems from the text. Since the solutions are in the back of the book and there is a solutions manual floating around somewhere, I recommend that you try the following problems from page 1060 (16.4.4, 5, 7, 8, 9, 10, 12, 15, 16, 18). If I have time, I'll post detailed solutions to some of the good problems from the book but this won't be posted until after 8PM Sunday night.
  • Solutions The solutions to Stokes' Theorem problems from the text (16.8.1, 3, 5, 7, 10) will be posted by today. You should really attempt these before going into the exam on Monday.
    TYPO:
    ★ On page 3 problem 5, Φ(s,t)=(s, t, -1) because the square is at height -1. So the area bounded inside this boundary is at height -1.
  • This is a study guide to Exam 4 that I made back in Fall 08. Most material overlap. Perhaps this might help you to organize the material for tomorrow's exam.
  • Sections and Its Key Ideas for Exam 4:
    Section 15.9 Change of Variables in two variables [x and y to u and v (or s and t)]
    Section 15.4 Change of Variables in two variables to polar
    Section 16.4 Green's Theorem (make sure you understand the hypotheses to the theorem)
    Section 15.6 Triple Integrals/Volume, be able to sketch the solid whose volume is given by the iterated (triple) integral
    Section 15.7 Cylindrical Coordinates
    Section 15.8 Spherical Coordinates
    Section 16.6 Finding the tangent plane to the given parametric surface at a specified point, parametrizations of a surface, finding the area of a surface, identify the given parametric surface in equation form (change the parameters s, t from Φ(s,t)=(x(s,t), y(s,t), z(s,t)) into an equation involving only x, y, and z)
    Section 16.7 Scalar surface integral (mass or surface area), vector surface integral (flux), effects of reparametrization, upward/outward normal vector versus downward/inward normal
    Section 16.8 Stokes' Theorem
  • FOR THE FINAL (study in this order)
    • Learn Divergence Theorem by working on problems posted on Tom's HW website (Section 16.9.1, 3)
    • Redo all 4 exams that you took, as well as the 4 exams for the other class (9AM or 2PM)
    • Go through all HW sets and worksheets
    • Go through Mock Exams
    • It's probably too late to say this now but work on these problems with speed! Since you have 3 hours for the exam, I promise you that you have more than enough time for the final.
    • Office Hours for the final week will be posted on my website (and probably on Tom's website as well)
      • Ser-Wei: this Wednesday 4-6PM in 341 Altgeld
      • Tom: this Wednesday 2-3PM in 121 Altgeld Hall
      • Anton: this Thursday 12-1PM in 341 Altgeld Hall
      • Mee Seong: this Friday 10AM-12PM in 223 Illini Hall
      • Tom: this Friday 11:30-12:30PM in 121 Altgeld
      • Mee Seong: Wednesday Dec 16, 10AM-12PM in 223 Illini Hall
      • Tom: Wednesday Dec 16, 11:30AM-1PM in 121 Altgeld
      • More office hours, if there are any, will be announced



Online Calculus III Videos: Watch these lectures with a friend over pizza, ice cream, or chips. Don't make it as a chore, but instead make it a fun activity!


Exams: For the solutions to the current exams, go to this link. To practice 50-minute exams from previous years, go to this link.
  • Exam 1 - Friday September 25, 2009. For the 9AM class, students with last names starting from A to Lorentz in 314 Altgeld Hall, and students from Lu to Z in 100 Noyes Lab. For the 2PM class, students with last names starting from G to Z in 314 Altgeld Hall, and students from A to F in 217 Noyes Lab.
  • Exam 2 - Friday October 16, 2009. For the 9AM class, students with last names starting from A to Lorentz in 314 Altgeld Hall, and students from Lu to Z in 141 Loomis. For the 2PM class, students with last names starting from G to Z in 314 Altgeld Hall, and students from A to F in 217 Noyes Lab.
  • Exam 3 - Friday November 13, 2009. For the 9AM class, students with last names starting from A to L in 314 Altgeld Hall, and students from M to Z in 100 Noyes Lab. For the 2PM class, students with last names starting from G to Z in 314 Altgeld Hall, and students from A to F in 217 Noyes Lab.
  • Exam 4 - Monday December 7, 2009. For the 9AM class, students with last names starting from A to L in 314 Altgeld Hall, and students from M to Z in 100 Noyes Lab. For the 2PM class, students with last names starting from G to Z in 314 Altgeld Hall, and students from A to F in 217 Noyes Lab.

Final Exam:
  • AL (9AM) section: Thursday December 17, 2009 8-11AM. Students with last names starting from K to Z in 314 Altgeld Hall.
    Students from A to J in 66 Library. This is the Main Library.
  • BL (2PM) section: Friday December 11, 2009 1:30-4:30PM. All students in 314 Altgeld Hall.


Academic Dishonesty: See Tom's website and syllabus.




UIUC Math Tutoring Services Educational Services-Counseling Center

 
Department of Mathematics
273 Altgeld Hall, MC-382
1409 W. Green Street, Urbana, IL 61801 USA
Telephone: (217) 333-3350    Fax: (217) 333-9576     Email: office@math.uiuc.edu      Last Updated: December 4, 2009