## Math 141 (Honors Calculus I), Fall 2005 Section 30420

### Announcements

12/15: We have graded all the Math 121/141 final exams and I have assigned letter grades. The average raw score in this section of Math 141 was 70.6 / 100, while the mean across all sections of Math 121/141 was 53.7 / 100. We decided to raise the mean by adding 17 points to everyone's raw score. I then calculated each student's final average and assigned letter grades according to the formula announced in the syllabus.

You should be able to access your grade from the Registrar's website no later than tomorrow morning. I can also e-mail you your grade upon request.

If you wish to see your final exam, please e-mail me to set up an appointment for next semester (since I will not be on campus for the next couple of weeks). University and department policies require that I retain the actual exam sheets.

### Essential Information

Instructor: Jeremy Martin

Office hours during finals period (all in 541 Snow Hall):

• Friday 12/9: 1--2 PM
• Monday 12/12: 1--2 PM
• Tuesday 12/13: 1--2 PM
• Wednesday 12/14, 1--3 PM
Feel free to e-mail me for an appointment at another time, or just to drop by my office.

Syllabus (PDF)

### Course Schedule

#### Important dates:

• Wednesday, December 14: Common final exam, 120 Snow Hall, 4:30--7:00 PM

### Homework

Homework is due in class on Tuesdays. Homework turned in after the end of class will not be accepted!

Do all the required problems. You don't have to turn in the practice problems, but they include material that may be covered on the common exams, so may be very helpful for exam review.

Each homework is worth 15 points. Four problems on each set will be graded out of 3 points each. The remaining 3 points are awarded for making a reasonable effort at doing all assigned problems.

Assignment # Due date Required problems Practice problems
1 8/23 [1.1]: 12, 13, 21, 22*, 36*, 52, 57
[1.2]: 4*
[1.3]: 4, 15, 18, 37, 38*
[1.1]: 1, 2, 23, 26, 37, 47, 48, 49, 51, 58, 59
[1.2]: 1, 2, 3, 8, 9
[1.3]: 1, 2, 3, 5, 13, 16, 17, 29, 30, 43, 44
2 8/30 [1.5]: 1, 12*, 13, 16
[1.6]: 20, 23, 26*, 36, 38, 39, 45, 48
[2.1]: 3, 5, 6*, 7
[2.2]: 3, 4, 5, 6*
[1.5]: 11, 15
[1.6]: 19, 24, 25, 33, 34, 35, 49, 51, 52, 53, 54
[2.1]: 1, 2, 8
3 9/6 [2.2]: 15, 16*, 19, 20, 25, 26(abc)*
[2.3]: 1, 2*, 5, 6, 27, 28*, 33, 34, 35, 36, 39, 43, 44
[2.3]: 3, 4, 7, 8, 13, 14, 17, 18, 21, 22
4 9/13 [2.3]: 16, 20*, 27, 28
[2.4]: 4, 7, 15, 16, 17, 31, 34, 35, 38*
[2.5]: 4, 8*, 16, 20*, 24, 28, 30, 33, 45
[2.3]: 15, 19, 37, 38
[2.4]: 3, 8, 9, 13, 14, 18, 19, 25, 26, 32, 33, 37, 39, 40, 41
[2.5]: 3, 7, 9, 10, 15, 17, 19, 21, 22, 25, 26, 27, 29, 31, 41
5 9/20 [2.6]: 8*, 9, 13, 17, 18
[2.7]: 3, 4, 5, 8, 14, 16*, 18, 21, 22
[2.8]: 2, 3, 8, 10*, 20, 22*, 24, 34, 45(ab), 47
[2.6]: 3, 7, 10, 14, 15, 19, 20, 23, 24
[2.7]: 6, 7, 13, 15, 17
[2.8]: 1, 7, 9, 11, 19, 21, 23, 25, 31, 32, 33, 37, 38, 39, 40
6 9/28 [2.9]: 2, 8, 10, 12*, 18, 20, 26, 27, 28
[3.1]: 6, 10, 14, 16, 20, 24, 38*, 42(ab), 44, 46, 54, 65
[3.2]: 1, 2, 4*, 6, 12*, 16, 22, 32, 36, 37, 41, 42
[2.9]: 1, 3, 4, 5, 6, 9, 11, 17, 19, 21, 22, 23, 25
[3.1]: 5, 13, 17, 19, 21, 37, 40, 41, 43, 45, 47, 48, 49, 53, 57, 59
[3.2]: 5, 9, 11, 17, 21, 29, 31, 33, 34, 35, 38
7 10/4 [3.3]: 2, 6, 10, 12, 15
[3.4]: 4, 6, 8*, 12, 13, 14, 15, 24, 28, 30, 32, 33, 35, 40, 41
[3.5]: 2, 5, 10*, 12, 16, 18, 22, 24, 25, 28, 34, 44, 46, 54
[3.6]: 2, 4, 8, 10, 16, 18*, 26, 27, 32, 34, 50
[3.7]: 2, 6, 8, 10, 12*, 15, 20, 21, 24, 25, 28, 30, 31, 32, 38
[3.3]: 1, 3, 4, 5, 7, 8, 17
[3.4]: 3, 5, 7, 9, 10, 17, 23, 25, 26, 27, 29, 31, 36
[3.5]: 3, 6, 7, 9, 11, 15, 17, 19, 20, 21, 23, 27, 29, 33, 42, 43, 57
[3.6]: 1, 3, 7, 9, 11, 13, 14, 15, 17, 25, 31, 33, 52
[3.7]: 5, 7, 11, 17, 19, 22, 27, 29, 33, 35, 36, 37
8 10/17 [4.2]: 4, 6, 9, 10*, 26, 30, 32, 34, 40, 44, 46*, 48, 56
[4.3]: 2, 6, 8, 10*, 14, 16, 18, 20, 24, 28, 30, 34, 37, 49, 51, 53, 54
[4.6]: 3, 7, 8, 11, 13, 17, 19, 21*, 23, 31, 33, 38, 39, 41, 43
[4.2]: 3, 5, 27, 29, 31, 33, 37, 39, 41, 47, 55
[4.3]: 1, 5, 7, 9, 12, 13, 15, 17, 19, 23, 26, 29, 35, 50, 52(ab), 55, 56
[4.6]: 4, 8, 10, 12, 18, 22, 24, 32, 34, 40, 42
9 10/25 [3.8]: 1, 6, 8, 16*, 18, 24, 26, 28a*, 28b, 30, 34
[4.8]: 5, 6, 10, 15*, 16, 25
[4.1]: 2, 4, 6, 10, 12, 14, 16, 18, 20, 22, 24, 26*
[3.8]: 5, 7, 15, 17, 20, 23, 25, 27, 29, 33
[4.8]: 1, 2, 3, 4
[4.1]: 3, 7, 9, 11, 13, 15, 17, 21, 23, 25, 27, 29, 31, 33
10 11/1 [4.5]: 8*, 10, 12, 16, 18, 22, 28, 32, 34, 36*, 38, 40, 46, 48, 56
[4.9]: 6*, 8, 10, 16, 20, 24, 28, 31, 40, 44, 48, 50*
[4.5]: 9, 14, 15, 17, 19, 21, 25, 29, 31, 33, 35, 37, 45, 47
[4.9]: 5, 7, 9, 11, 19, 21, 23, 25, 39, 41, 47, 49, 51
11 11/8 [5.1]: 4, 12, 188
[5.2]: 2, 6, 18, 20, 21, 22, 32*, 34, 36, 40, 42, 44
[5.3]: 4, 10, 14, 16*, 20, 28, 38, 42*, 46, 48, 54, 56, 58, 60, 68
[5.1]: 5, 8, 11, 17
[5.2]: 1, 5, 17, 19, 23, 24, 31, 33, 35, 39, 41, 43
[5.3]: 3, 9, 13, 15, 19, 23, 27, 37, 41, 45, 49, 53, 55, 57, 59, 67
12 11/15 [5.4]: 2, 4, 6, 10, 12*, 16, 18, 20, 27
[5.5]: 2, 4, 10, 12, 14, 18, 24, 30*, 32, 42*, 46, 50, 54, 58, 64
[5.6]: 4*, 6, 10, 16, 18*, 20, 26, 28, 44
[5.4]: 3, 5, 9, 11, 13, 15, 19, 21, 25, 26
[5.5]: 1, 3, 5, 6, 7, 9, 11, 13, 19, 21, 22, 33, 41, 45, 47, 49, 57, 63
[5.6]: 7, 9, 13, 15, 17, 19, 21, 27, 38, 41, 43
13 11/22 [5.7]: 2, 4, 6, 8*, 10, 18*, 20
[5.9]: 6, 8, 10
[5.10]: 1, 8*, 14, 24*, 26, 32, 42, 44, 48, 49
[5.7]: 1, 3, 5, 7, 9, 17, 19
[5.9]: 5, 7, 15
[5.10]: 2, 5, 13, 17, 23, 25, 27, 29, 41, 43, 51, 57
14 11/29 [6.1]: 2*, 4, 6, 12, 24, 40a*, 40b [6.1]: 1, 3, 7, 11, 13, 15, 23, 25, 27, 29, 39
15 Thu 12/8 [6.2]: 6, 8, 12, 14, 24, 26, 28, 30, 32, 34, 36, 40, 46, 50, 52
[6.3]: 4, 6, 10, 22, 24
[6.4]: 2, 6, 10, 14
[6.5]: 2, 6, 10, 12, 16, 18, 22, 28, 30, 36, 40
[6.2]: 1, 3, 5, 11, 13, 23, 25, 27, 29, 33, 35, 37, 39, 43, 49, 53
(Note: In 6.2.23, "Midpoint Rule" should be "Trapezoidal Rule")
[6.3]: 3, 5, 9, 23
[6.4]: 3, 5, 9, 15
[6.5]: 1, 3, 5, 7, 9, 11, 15, 17(a), 21, 27, 29, 35, 39

Problems marked with a * were the ones chosen for grading.

### Quizzes

There will be an in-class quiz during the first half of class on most Fridays. There will be a total of 12 quizzes during the semester, each out of 20 points. Your two lowest scores will be dropped. No makeup quizzes will be offered.

The exact dates of the quizzes (and solution sets for past quizzes) are as follows.

In addition, there will be occasional pop quizzes and other in-class assignments.

### Gateway Exam

The Gateway Exam tests your technical skill in differentiation, using the techniques covered in section 3.1--3.7 of the textbook.

The official Math 121/141 Gateway Exam handout (which duplicates much of the information given below) is available here.

The exam consists of ten functions which you will have to differentiate, using no calculators, notes or other aids. The ten functions are chosen from a fixed list of 173 functions, which is available from the Mathematics Department website. You can also take a sample exam online.

To pass the exam, you must get at least eight of the ten problems completely correct. You don't have to simplify your answers, but if you do, then the simplification must also be correct.

The exam is all-or-nothing: you get 100 points for passing and 0 points for failing. If you do not pass the first time, you can retake the exam as specified below. The ten problems are changed each day, so if you retake the exam, it is unlikely that any problems will be duplicated.

The exam is offered at the KAP Testing Center, 324 Strong Hall. It's untimed; you can take as long as you want to solve the problems (subject to the Testing Center itself closing). To take the exam, just go to the Testing Center at a time of your choosing (see below). You will need your KU ID and you will need to list me (Jeremy Martin) as your instructor.

The Gateway exam will be offered during the four-week period of Saturday, October 8 through Friday, November 4, with the exception of Fall Break (Thu 10/13 through Sat 10/15) and the following other dates: Thu 10/27, Fri 10/28, Wed 11/2, Thu 11/3. The Testing Center hours are as follows:

• Monday through Thursday: 7:30 AM -- 9:00 PM
• Friday: 7:30 AM -- 5:30 PM
• Saturday: 9:00 AM -- 12 noon

You can retake the exam up to twice each week (but not twice on the same day), for a total of eight tries. The period from a Saturday through the following Friday is counted as one week.

### Midterm Exam

The common Math 121/141 midterm exam, worth 20% of the final grade, was given on Tuesday, October 11. The average score in this section of Math 141 (25 students) was 64/100; the coursewide average (about 300 students) was about 56/100. To bring the average up to the C range, we added 16 points to the score of every student in Math 121/141. Here is a rough breakdown of the results in this section (before the 16-point adjustment):

Score range Number of scores
80-100 3
70-79 8
60-69 4
50-59 5
<50 5

### Final Exam

All Math 121/141 students will take a common final exam (worth 30% of the final grade) on Wednesday, December 14, from 4:30--7:00 PM, in 120 Snow Hall. Please come early, say around 4:15, so that we can start on time.

Bring a graphing calculator; we will not have extras available. Calculators that are capable of symbolic calculation of differentiation and integration, such as the Texas Instruments TI-89 and TI-92, are NOT allowed.

The Math 121/141 common website contains a sample final exam; an answer key for the sample final, and a longer list of sample problems. Working on all of these problems is the best way to study for the final exam.

You are responsible for knowing most topics covered in class throughout the semester; see the lecture schedule for details. The following topics will NOT be covered on the final exam:

• The precise (epsilon-delta) definition of a limit
• Hydrostatic pressure and force
• Center of mass
• The Trapezoidal Rule and Simpson's Rule
• Newton's method
• Integrals involving special trigonometric substitutions (e.g., problems 7--10 in section 5.7)
• Integrals involving non-basic partial fractions (e.g., Example 5 on pp. 403-404, although Example 4 on pp. 402-403 is fair game)

On the long-answer questions, you will need to show your work to receive full credit. In particular, any computation of a definite integral must first show explicitly the antiderivative involved. Without a correct antiderivative shown, even if the value of the definite integral is correct, that value itself will be ignored and will not earn credit. (This does not include certain special cases which can be solved without any computation, by using simple geometry, e.g. a definite integral of a constant function, or the integral of the square root of r^2-x^2 from x=-r to x=r which yields the area of a half-disk. However, it is always a good idea to explain what you are doing, even in these special cases.)

After we finish grading the exam, we may adjust the grades. Such an adjustment, if any, will be made uniformly over all sections of Math 121/141, and will depend on what the raw scores look like in aggregate. For this reason, there is no way to know precisely in advance how well you need to do on the final to receive a particular letter grade.

Sometime after the end of exams, KU will send you a grade report by e-mail. I don't know when this will happen. At some point, you will also be able to find out your grade online. You will not be able to find out your grade by going to the Student Records office or the Math Department office.

The KU Registrar's website contains an official exam schedule, as well as a list of KU policies governing final exams.