2008 March 18 / E-Mail Me

Carleton College Math 111, Winter 2008, Prof. Joshua R. Davis

This is a first course in calculus, focusing on the basic concepts of limit, derivative, and integral. Applications to the natural and social sciences are woven throughout. We also expend significant effort on writing mathematics well. You can expect to spend at least 10 hours per week on this course outside class. The basic materials are

- Schedule, with reading assignments and homework exercises
*Calculus: Early Transcendentals*, 6th edition, by Stewart. This is currently the standard Carleton calculus textbook. Other versions and editions of the text are not acceptable, since they have different chapter and problem numbering.- Some sort of calculating device for homework (not for exams). You are welcome to use a graphing calculator, if you have one. I occasionally use the computer program
*Mathematica*, which is essentially an extremely powerful, versatile calculator, free for Carleton students to use. If you would like to try it, here is some material:

Our class meets in CMC 210 during period 1A (MW 08:30AM-09:40AM, F 08:30AM-09:30AM). Here's how you get in contact with me:

Dr. Joshua R. Davis (call me Josh if you like)

E-mail: See here

Office: CMC 221, x4366

Office hours: Mon 11:00-12:00, Tue 3:00-4:00, Wed 3:00-4:00, Thu 8:30-9:30. You can also make an appointment; simply pick a free time from my weekly schedule and e-mail me. You can also talk to me after class.

Final grades (A, B, C, etc.) are assigned according to an approximate curving process. By this I mean that there are no predetermined percentages (90%, 80%, 70%, etc.) required for specific grades. The following elements contribute to the final grade.

- Participation: Each class session covers one or two sections of the textbook, which
*you are expected to read before class*. Class will be conducted on the assumption that you have already read and thought about the sections. (If I sense that students are not reading diligently, then I may institute reading quizzes.) Attendance is mandatory; furthermore, you are expected to participate actively in group work, discussion, individual exercises, etc. Class participation influences final term grades in borderline cases. You are also required to attend office hours at least once before the first exam. - Homework: In this course, most of your learning will take place while doing homework. The homework problems are listed on the schedule. They will be collected each Friday. I strongly encourage you to do the homework promptly, rather than waiting for the night before it is due. (If I sense that students are not working diligently, then I may institute homework quizzes.) There are also several small writing assignments, described below, that are due on special dates to be announced. Altogether, homework counts for 25% of your grade.
- Quizzes: Occasionally I give you quizzes to be completed outside class, at your leisure. They are not graded and do not affect your grade, but you are expected to do them, so that you can evaluate your progress.
- Midterm Exams: There are two midterm exams, which you take during class. The first is on Friday February 1. Each exam counts for 25% of your grade. Each exam 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. Calculators are not allowed.
- Final Exam: The final exam takes place Friday March 14, 7:00PM-9:30PM. Self-scheduled final exams are not allowed. The final exam is entirely cumulative and worth 25% of your grade. Calculators are not allowed. 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.

You are encouraged to work with others on all assignments. Work together to figure out the problems, and then write them up separately, in your own words. In particular, you may not copy someone else's work or allow them to copy yours.

Try to make your paper easy to grade. The problems should be answered in the order they were assigned. Do not write them in multiple columns; just use one column, going down the page. Clearly write each problem's number on the left side of the page. If your paper is messy or disorganized from revisions or erasures, then you may need to recopy it. *Staple* each week's assignment into a single packet. Depending on time constraints, perhaps only a subset of your submitted work is graded; in order to ensure full credit, do all of the assigned problems.

How much work should you show? The answer is simple: *Write your solutions as if the intended audience is your fellow students.* By doing so, you show enough detail that your grader can ascertain whether you yourself understand the material. Your solutions should also be self-explanatory; the grader should not have to refer to the book, to determine whether your solution is correct. In short, if a classmate were to read one of your solutions, then she or he should be able to understand what the problem was and how you solved it.

In order to help you develop your math writing skill, I have designed a sequence of short writing assignments that we will complete throughout the term. They are not intended to be difficult.

- An Equation Is A Statement (due on Day 2)
- A String Of Equations Is A String Of Statements (due on Day 5)
- The Arrow "=>" Indicates That One Equation Implies Another (due on day 8)
- When You Need To Explain In Plain Text, Do
- Introduce Special Notation Before Using It
- ...?

During the term, you have one free pass to hand in an assignment late. Here is how you activate it. Instead of handing in your assignment, send me e-mail declaring that you are using your late pass and proposing a new due date. If the due date is extended only a couple of days, then no explanation is necessary; if you need longer, then convince me. Use your free pass wisely. Otherwise, no late assignments are accepted, except in extreme circumstances that are truly beyond the student's control.

If some medical condition affects your participation in class or your taking of exams, let me know in the first week of class, so that we can make arrangements. You may want to visit the dean's Disability Services/Resources page first.

Frequently I am asked, "How should I study for this course? What do you recommend?" I have compiled my answers into

Here are our exams from this term so far. I recommend you review them as you study for upcoming exams.

- Exam 1 (75th %tile = 73.5, 50th = 65.5, 25th = 59.5)
- Exam 1 Answers
- Exam 2 (75th %tile = 75, 50th = 67.5, 25th = 54.5)
- Exam 2 Answers
- Final Exam (75th %tile = 75, 50th = 68, 25th = 53)

Here are the exams from my calculus classes last term. Judged by student scores, the exams were difficult. Our schedule this term is slightly different, so the exams come with some warnings. On Exam 1, #8 uses material from after our Exam 1, and #6 uses material that we aren't doing at all this term. On Exam 2, #6 and #8b use material from after our Exam 2; #9 uses material that we aren't doing at all this term.

- Exam 1 Sample Questions
- Exam 1 (mean 51, median 49)
- Exam 1 Answers
- Exam 2 (mean 65, median 62)
- Exam 2 Answers
- Final Exam (mean 54, median 52)

Differentating functions is a basic skill that you are expected to master in this course. To help you, I have constructed a web page that gives you as many differentiation problems as you want:

Several years ago I compiled these brief reviews of basic topics. Some you already know; we study the others in this course. They are much too terse to learn from, but perhaps they can refresh your memory or point out key concepts.

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

- Don't wait until an exam to study. Keep up with the work throughout the term, always going back to understand problems you've missed. The material in a math class tends to build up quickly. If you don't understand one day's material, then you won't understand the next day's either, and you soon fall behind. If you sense yourself slipping, come talk to me immediately.
- Your greatest resource is your fellow students. Work together as much as possible.
- Make use of the Math Skills Center and office hours. You can also get help with
*Mathematica*in CMC 301; a schedule of helpers is posted in that room. - Do as many problems as possible. This is the key point of How To Study Calculus.

Last term I asked my students, "What advice would you give to future students in this course?" The overwhelming top two responses were versions of

- "Don't procrastinate on homework until the night before it's due. Do it right away."
- "Always read the book before class."