2006 December 16 / E-Mail Me

- 16 Dec: Final exam grades have been posted to Blackboard; your semester grades have been posted to ACES. Have a good break.
- 11 Dec: Office hours this final exam week: Mon 10-12, Tue 1-4, Wed 1-4. Also I'll be in the Math Help Room Mon 1-3, as usual.
- 8 Dec: Exam 3 has been graded. Your grades are on Blackboard, and the approximate curve is below.
- 7 Dec: I have posted the third exam below.
- 5 Dec: Our final exam is Thu Dec 14, 2006, 7:00-10:00 PM, in 107 White Lecture Hall (on East Campus, directly south of Aycock Hall). Read the "Final Exam" section below for specifics, such as the hint sheet rules.
- 28 Nov: I've revised How To Study Calculus with directions to the calculus textbooks in the library.
- 25 Nov: I've posted a short essay, How To Study Calculus.
- 9 Nov: I've posted the second exam, with and without answers, below.
- 6 Nov: I've posted the approximate curve for the second exam below.
- 25 Oct: On Friday afternoon I'll have extra office hours (in my office, Physics/Math 033) from 12:00 to 4:00 for students who want to stop in for extra help. On Monday afternoon I'll be in the Math Help Room from 1:00 to 5:00, for students who want extra help. The Math Help Room stays open until 10:00, for your information.
- 25 Oct: The homework from this week will be collected next Friday, not next Wednesday, so that you don't have to worry about it while studying (though of course you should do it while studying anyway, since doing problems is the best way to study).
- 25 Oct: Your first-round differentiation gateway tests have been graded. You can check out your grade on Blackboard. A grade of "-" means that you have not passed; a grade of "1" indicates that you passed on the first try, a grade of "2" indicates that you passed on the second try, etc. About 1/3 of my students passed on the first try. If you would like to see your test, you can ask to look at it in office hours, but I keep it.
- 4 Oct: Remember that there is no reading assignment due tomorrow night, and that this week's homework will be collected next Friday due to fall break. Also, yesterday's lab will be quizzed in your next lab, which is two weeks from yesterday.
- 3 Oct: I have put the trigonometry review, along with some other reviews, into the help section below.
- 29 Sep: I have posted information about the first exam below.
- 27 Sep: Here is a one-page review of trigonometry that I wrote several years ago.
- 20 Sep: On Monday 25 Sep I will be available in the Math Help Room (Carr 132) from 1:00 to 5:00. On Tuesday in lab we will take a lab quiz and then the first midterm (which covers up through 3.3) exam. On Wednesday homework will be collected.
- 20 Sep: The Mon-Wed-Fri office hours were moved to Carr 137 a while ago, but I just updated them on this page. Sorry if this caused confusion.
- 28 Aug: Office hours have been set; see the next section.

This is a first course in calculus, covering aspects of derivatives, integrals, and differential equations, primarily through in-depth, applied, conceptual laboratory exercises. Required materials include

- the syllabus, with reading assignments and homework exercises,
*Calculus: Single Variable*, 4th edition, by Hughes-Hallett, et al. (the single-and-multivariable 4th edition is also acceptable),- the Duke 2006-2007 31L-32L course pack (lab manual),
- a graphing calculator, to be used in all lectures, labs, and exams. Our standard calculator is the TI-83. The TI-84, 85, and 86 are also acceptable. You may use some other kind of calculator, if you prefer; however, you then forgo calculator support from your lecturer and lab instructors. Calculators capable of symbolic manipulation, such as the TI-89 and 92, are forbidden.

Here's how you get in contact with me:

Dr. Joshua Davis

E-mail: see here

Office: 033 Physics/Math (on West Campus, directly behind the chapel, at the end of Science Dr.)

Office phone: 660-2823

Office hours:and by appointment; to make an appointment, pick a free time from my weekly schedule and e-mail me.

- Mon 9:35-10:20, in Carr 137
- Wed 9:35-10:20, in Carr 137
- Thu 1:30-2:20, in Physics/Math 033
- Fri 9:35-10:20, in Carr 137

Here some other web pages:

Blackboard: complete reading assignments, view grades, view old tests

Math 31L: the course you're taking

Information for First-Year Students: other useful stuff from the Math Department

TI Guidebooks: user manuals for TI calculators

Semester grades (A, B, C, etc.) are assigned according to an approximate curving process. The following elements contribute to this grade.

Each class session covers one or two sections of the textbook, which *you are expected to read before the topic is discussed in class*. After completing the reading, go to

Blackboard -> Math 31L 03-04 -> Assignments,and answer the reading questions posted there

Attendance is mandatory. Furthermore, *you are expected to participate actively* in group work, discussion, individual exercises, etc. Class participation influences final semester grades in borderline cases.

If you cannot make it to class, then you should check with a classmate or with me to see what was missed. You cannot make up missed work unless you have an excuse from the dean. If your absence is due to a serious, incapacitating illness, and you can vouch for this under the Duke Community Standard, then you may do so at Short-Term Illness Notification.

Each Wednesday the homework assigned during the preceding week (Mon, Wed, Fri) is due. This gives you a chance to ask questions on the homework in the period immediately after it is assigned, and then to work for two more days on it.

Sometimes you submit the homework itself for grading; see Guidelines For Written Work, below. On other occasions you instead take a short homework quiz, with problems taken *verbatim* from the homework. I notify you ahead of time whether homework collection or a homework quiz will take place. Altogether, homework counts for 5% of your grade.

The labs in this course are central, not peripheral. Labs constitute 35% of your semester grade — more than the final exam. Furthermore, lab material is referenced in lecture and tested on the midterm and final exams.

During lab on Tuesday morning, you work through involved, applied, conceptual problems from the lab manual with up to three other students. You are expected to stay for the entire period. You may also need to meet with your group outside of lab, before your work is due at the start of lab the following Tuesday.

Often you submit a group lab report for grading; see Guidelines For Written Work, below. On other occasions, you instead take an individual lab quiz. I will notify you ahead of time, whether lab report collection or a lab quiz will take place.

The Math 31L gateway test certifies basic competency in differentiation. You must pass this test sometime before the end of the semester. You may take it as many times as needed. You cannot receive a grade for the course until you have completed this test; otherwise, it does not affect your grade.

There are three midterm exams, which you take during the lab period. Each midterm counts for 10% of your grade. Each midterm focuses primarily on the material covered since the previous exam; however, since the course material is inherently cumulative, *you will always need to remember concepts and skills from earlier in the course*.

The first midterm is 26 September.

The second midterm is 31 October.

The third midterm is 5 December.

The final exam is scheduled for 14 December 2006, 7-10 PM. It is uniform across all sections of Math 31L, entirely cumulative, and worth 25% of your grade. You are allowed to bring with you one standard-size sheet of paper, on which you may record whatever notes you like. Both sides may be used. However, the notes must be your own creation; using a sheet of notes created by another student is prohibited.

Your written work (homework and lab reports) should be neat and complete, with the problems answered in the order they were assigned, and clearly marked. *Staple* your assignment into a single packet to be graded. If your paper is messy or disorganized from revisions, erasures, etc., then you may need to recopy it. Show your work, and give simplified answers. If a classmate were to read one of your solutions, she or he should be able to understand what the problem was and how you solved it. In other words, your solution should be well-written and *self-explanatory*. At the top of the first page of your assignment, write the short pledge

I have adhered to the Duke Community Standard.

and sign it (and print your name).

In the case of lab reports, each group submits a single report. Only group members who have contributed to the work may sign the pledge and write their names on it. They can not allow another group member, who has not contributed to the work, to sign or write his name.

You are encouraged to work with others on homework, as well. Here, however, you submit work individually, and the written work that you submit must be your own. In particular, you may not copy someone else's work or allow them to copy yours.

Late work? No. (Except in extreme circumstances beyond the student's control.)

Depending on time constraints, perhaps only a subset of your submitted work may be graded. In order to ensure full credit, do all of the assigned problems.

I want all of my students to work hard, learn a lot of math, and earn a good grade. Here are my recommendations:

- Do all of the homework problems. If some concept is still unclear to you, do more problems on it. Once you truly understand it, you will be able to make up your own problems and solve them. Doing problems is the best way to learn math!
- Work with other students as much as possible. This is more fun than solitary work, and explaining math to others really helps you understand it better yourself.

- Talk to your classmates, and talk to me in office hours. Every student is expected to visit me at least once in office hours this semester.
- Visit the Math 31L Help Room in the Carr Building. No appointment is necessary.
- Sign up for free Peer Tutoring.
- Try some other options, as suggested by the Math Department.

You may also find the essay How To Study Calculus useful.

Here are some one-page reviews of basic topics that I wrote several years ago. It is difficult to learn math from such a terse treatment, but they may be useful in highlighting what I regard as the most important points to study. If you find yourself not understanding any of this material, then please come talk it over with me. (Some of the stuff on derivatives we haven't done yet.)

Here are the exams we've taken, both with and without answers, and some data about how the students performed. I want to stress that the letter grades here are approximate only. Letter grades are not really assigned until after the final exam, when all sections of Math 31L are compared against each other. Grades are listed here only to give you some idea of how you're performing; they do not constitute any guarantee of how your final grade might end up.

Grade | Exam 1 | Exam 2 | Exam 3 |
---|---|---|---|

A | 100-89 | 100-82 | 100-76 |

B | 88-81 | 81-60 | 75-63 |

C | 80-71 | 59-41 | 62-48 |

D | 70-67 | 40-36 | 47-46 |

F | 66-0 | 35-0 | 45-0 |

Median | 80 | 60 | 63 |

Exam | exam1.pdf | exam2.pdf | exam3.pdf |

Answers | exam1a.pdf | exam2a.pdf | exam3a.pdf |