Math 241 EL1: Final the ultimate

Where:

• Discussion sections ED1, ED3, ED5 (Nathan Dunfield and Ping Hu): 180 Bevier.
• Discussion sections ED2, ED4, ED6 (Boonrod Yuttanan and Jeff Mudrock): 150 Animal Sciences Laboratory.

When:

• Friday, December 10 from 8:00-11:00 am.
• Important: Be there by 7:50 am.

Details:

• The test is closed book and closed notes. Scratch paper will be provided.
• No calculators, cell phones, iPods, or other electronic devices. The time will be posted.

Office hours (can attend any of these):

• Nathan Dunfield: Mon 4-5:30, Tue 4-5:30, Wed 9:15 - 10:45, Thur 11-12 and 4-5:30 in 378 Altgeld Hall.
• Jeff Mudrock: Tue 10-12:15, Wed 3-4, and Thur 2-4 in B1 Cobel Hall.
• Boonrod Yuttanan: Mon 3-4:30, Tue 4-5:30, Thurs 10-11 and 3-4 in B1A Coble Hall.
• Ping Hu: Mon 2-3, Tue 2-3, Wed 2-3, Thur 12-2 in 224 Illini Hall.
• Math department tutoring: 5-9pm Monday - Thursday in 7 Illini Hall.

Subject:

• Comprehensive: All of Chapters 12, 14, 15, and 16 as well as Sections 13.1-13.3.

The final will be comprehensive, though there will be some extra weight on the parts of Chapter 16 that was not covered on Midterms 2 and 3. Also, given the cumulative nature of this course, many concepts from earlier chapters are used in Chapter 16. For instance, finding the equation of the tangent plane to a parameterized surface requires basics about planes and cross products (Sections 12.4 and 12.5) and partial derivatives (Section 14.3). Sometimes, such more elementary concepts will have their own questions, and sometimes they will be tested only as components of questions from Chapters 15 and 16.

You should expect a little over twice as many problems as on one of the midterms, but you will have more than three times as long to complete the exam. The problems themselves will be similar to those on the midterms, though they will be a little more difficult, involved, and/or free-form than before, and a very few will be quite a bit harder, especially the extra credit questions.

Homework Summary and Solutions:

For your convenience, here are all the problems that have been assigned. The non-WebAssign problems are in bold.

• 12.1: 1, 3, 5, 11, 25, 31, 33, 34.
• 12.2: 4, 5, 11, 19, 31, 37.
• 12.3: 1, 11, 17, 25, 53.
• 12.4: 5, 11, 15, 29, 35, 37, 43, 49.
• 12.5: 1, 30, 46, 55.
• 12.6: 21 - 28, 48.
• 14.1: 23, 25, 27, 30, 32, 34, 55-60, 61, 64.
• 14.2: 5, 8, 9, 13, 17, 25, 29, 41.
• 14.3: 5, 16, 17, 54, 59, 69, 72, 94.
• 14.4: 5, 13, 19, 22.
• 14.5: 2, 6, 12, 16, 22, 35, 39, 51, 55.
• 14.6: 1, 6, 14, 24, 36, 38, 52, 50, 59, 54.
• 14.7: 2, 3, 4, 5, 10, 15, 20, 30, 38, 42, 45, 47, 52.
• 14.8: 1, 7, 18, 21, 30, 38, 40.
• 13.1: 7, 14, 18, 19, 37.
• 13.2: 1, 2, 4 6, 26, 32.
• 13.3: 1, 11, 14, 15, 59.
• 16.1: 3, 5, 11, 15, 34, 35.
• 16.2: 2, 3, 4, 6, 8, 9, 10, 15, 17, 29, 34, 36, 37, 40, 41, 42, 46, 48.
• 16.3: 1, 2, 4, 5, 11, 12, 16, 17, 20, 21, 23, 24, 26, 29-32, 33.
• 15.2: 16, 20, 30, 36.
• 15.3: 13, 14, 18, 27, 2, 59, 60.
• 15.4: 1-4, 8, 12, 14, 15, 20, 33, 36.
• 15.5: 6, 10, 12, 18.
• 15.6: 13, 16, 21, 27, 33, 40, 52, 53.
• 15.7: 3, 15, 18, 22, 29.
• 15.8: 3, 7, 8 ,11, 15, 26, 28, 29.
• 15.9: 2, 7, 9, 10, 11, 15, 17, 18, 19, 20, 21,22, 23, 24.
• 15 Review: 49.
• 16.4: 4, 11, 12, 13, 14, 18, 19, 22, 24, 27.
• 16.5: 9, 10, 11, 12, 16, 17, 18, 19, 20, 22.
• 16.6: 2, 4, 5, 13-18, 20, 21, 23, 24, 34, 38, 42, 43, 58, 60.
• 16.7: 6, 11, 12, 14, 16, 21, 23, 24, 27, 29, 30, 42, 43, 44, 47.
• 16.8: 1, 3, 4, 5, 6, 7, 9, 10, 13, 15, 16,17, 18, 19.
• 16.9: 1, 3, 8, 9, 10, 14, 17, 18, 19, 20, 23, 24.

Solutions to all non-WebAssign problems are available. Solutions to the WebAssign HW are available inside WebAssign, once the due date of an assignment is past.

Review Problems:

Working additional problems from the text is the recommended way to prepare for the exam, as is doing the problems from the worksheets that you didn't get to in section. A key resource is the excellent list of review problems at the end of each chapter, including quick concept checks and a true/false quiz. So that you can check your answers, here are solutions to some of the even review problems: Chapter 14, Chapter 15, Chapter 16.

Worksheets:

Final exam conflicts

Currently, there is no conflict exam for this course, and it is unlikely that university rules will require that one be offered. The primary cause of exam conflicts is when a course holds a "combined exam" for several different lecture sections, rather than having their final in the timeslot associated to the class meeting time. Because the final for Math 241 is in its default ("noncombined") timeslot, in this situation the "combined exam" course is required to fix this by offering a conflict exam. Two instances of this type which conflict with our final are CS 125 and ECE 110.