Math 241 AL1 and EL1: Final the Ultimate

When:

• Tue, Dec 13 from 1:30pm–4:30pm. Please be there by 1:15.

Where:

• See the location list.

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 about twice as many problems as on one of the midterms, but you will have three times as long to complete the exam. The problems themselves will be similar in difficultly to those on the midterms.

Practice Exam:

Here is last year's exam and the complete solutions. Note: You should expect the actual exam to be slightly longer and harder than this practice exam.

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.

Conflict Exam:

If you have a conflict with the exam time, please email me the course name and instructor of the other class and I will put you down for the conflicit exam. The conflict exam will be Wed, Dec 14 from 8:00--11:00 in 180 Bevier.

Tutoring and office hours:

The usual tutoring and office hours contiue up to and including Thursday, Dec 8. After that, there is

• Friday, Dec 9: Tutoring from 10–2 in 159 Altgeld.
• Sunday, Dec 11: Office hours from 11–1 in 378 Altgeld. (If building door is locked, call Nathan at (217) 244–3892 to be let in.)
• Monday, Dec 12: Tutoring from 10–2 in 347 Altgeld.
• Monday, Dec 12: Office hours 4–6 from in 378 Altgeld.

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.