Syllabus
MAP 2302, Fall 2002
Elementary Differential Equations
MWF 6th period (section 3227);
MWF 8th period (section 3615)

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Professor David Groisser
301A Little Hall
392-0281 extension 261
groisser@math.ufl.edu

Office Hours: Tentatively 4th period Tues., Wed. and Fri. Please come early in the period or let me know to expect you later. See my schedule for updates. You can also see me by appointment any weekday except Thursday .

Text: Nagle, Saff, and Snider, Fundamentals of Differential Equations and Boundary Value Problems, 3nd edition. We will cover chapters 1,2,4,6,7, with some omissions, and possibly some of chapter 5. Topics will include:

• concept of "(ordinary) differential equation" (ODE) and meaning of "solution"
• statement and understanding of the fundamental existence/uniqueness theorem for solutions to initial-value problems
• first-order methods (separable, linear, and exact equations, and some equations reducible to these by substitutions)
• linear differential operators and linear ODE's
• second-order linear ODE's; constant-coefficient case treated in detail; variation of parameters
• higher-order linear ODE's, primarily the constant-coefficient case
• method of Laplace transforms

Exams and Grading: Your final grade will be determined by the following

• Three midterms (hour exams), each counting 20% of final grade. Tentative dates for the midterms are Sept. 20 (Fri.), Oct. 16 (Wed.), and Nov. 13 (Wed.).
• Cumulative final exam, counting 40% of final grade. Tentatively, the 6th period class is scheduled to take its final on Wed. Dec. 18 in its usual classroom beginning at 5:30 p.m., and the 8th-period class is scheduled to take its final on Fri. Dec. 20 in its usual classroom beginning at 7:30 a.m. I will look into the possibility of having both classes take their finals together (not in this room, obviously), but it may not be possible to coordinate the schedules of so many students.
• Small bonuses (< 3%) may be given for exceptionally good classroom participation.

There will be no make-up midterms. If you have a valid, documented reason for missing a midterm, I will re-adjust the weights of your other exams.

See more about grading below for additional information.

Calculator Policy: Calculators are not allowed on exams, and generally should not be used for homework, although occasionally a homework problem may be assigned that requires a calculator.

Homework: will be assigned daily and is due by the next class, but will not be collected. It is critical that you keep up with the homework daily. Far too much homework will be assigned for you to catch up after a several-day lapse, even if you think from your past experience that you will be able to do this. Students who do not keep up with the homework frequently receive D's or worse (or drop the class to avoid receiving such a grade).

The assignments will be posted on the homework web page . You are responsible for checking this page frequently, since the dates more than one day in advance are estimates and there will be frequent updates. Assignments may also be modified in class according to how far we get on a given day.

On most days I will not answer homework questions in class; you should see me in office hours for such questions. If we are making rapid enough progress, then occasionally I may set aside a day to go over homework. The class day before an exam will always be used for Q&A.

Workload: On average, in order to receive an average grade (C or C+), students with good preparation for this class should expect to spend two to three hours outside of class for every class meeting (6-9 hours per week). This time estimate is an average, not a maximum--some students will require more time, some less; some weeks the workload will be heavier, some lighter. Some circumstances that may increase your workload are:

• You did not study a similar amount in your previous calculus classes.

• You cannot do algebra quickly and accurately without a calculator (this may be the case if you did not do a large number of exercises in your calculus or pre-calculus classes, or have relied heavily on calculators in the past).

• You want to get an A.

Attendance policy. I expect students to be in class every day and on time, paying attention for all 50 minutes of the period. Coming late to class is disruptive both to your instructor and to your fellow students. If another time commitment (e.g. a prior class in a distant location) forces you to be late on a regular basis, you should not take this class.

Currently I plan to take attendance but not to factor it into your grade directly. However, students without good attendance should not expect the same consideration in office hours that students with good attendance will receive. Be aware that the University of Florida Attendance Policies contains the following paragraph:

The university recognizes the right of the individual professor to make attendance mandatory. After due warning, professors may prohibit further attendance and subsequently assign a failing grade for excessive absences.

More about exams. Most exam problems will be similar to homework, but on most exams I try to put at least one problem that you won't have seen a clone of before. Such problems will involve no new concepts , but may, for example, combine concepts from different parts of the syllabus. I do this to see whether you've gone beyond memorizing a bunch of formulas and rules, and have achieved a real understanding of the material--which you'll need for an A.

More about grading. I don't have a predetermined grade curve or predetermined percentages for letter grades. I decide the grade scale for each exam and homework according to the philosophy A = excellent, B = good, C = satisfactory, D = unsatisfactory but passing. At the end of the semester, I use the cutoffs from the exams and homework and to determine the final grade cutoffs on a 1000-point scale. For example if the cutoff for a B is 72% on the first hour exam, 69% on the second hour exam, 76% on the third hour exam, and 74% on the final, to get a B for the course you'd need .20 x (72%+69%+76%) + (.40 x 74%) = 73% of the total number of points in the course, i.e. 730/1000.

Since I don't determine the exam-grade cutoffs ahead of time, I can't tell you in advance exactly how many points you'll need to get a particular grade for the course. However, for an example of past grade scales, see the grade scale page for the last time I taught a non-honors section of this class (Fall 2000) but ignore the quiz-related scales since I do not plan to give the homework-quizzes that I gave last year. Also note that there is no guarantee that this year's grade cutoffs will be close to those of the past last semester's ; they could be higher or lower.

Student Honor Code: Students are expected to abide by the the Honor Code:

We, the members of the University of Florida community, pledge to hold ourselves and our peers to the highest standards of honesty and integrity.

Religious Holidays: The following is part of the University of Florida Policy on Religious Holidays . "Students, upon prior notification of their instructors, shall be excused from class or other scheduled academic activity to observe a religious holy day of their faith."

Accommodations for students with disabilities: Students requesting classroom accommodation must first register with the Dean of Students Office. The Dean of Students Office will provide documentation to the student who must then provide this documentation to the Instructor when requesting accommodation.

Miscellaneous:

• Unless I say otherwise, you are responsible for knowing any material I cover in class, any subject covered in homework, and all the material in the textbook chapters we are studying.

• If you miss class the day I return an exam, you'll have one week to pick your quiz or exam up from my office, after which I may discard your paper.

• Cell phones should be off while you are in class. Please also avoid other disruptive noises, such as the zipping and unzipping of backpacks several minutes before the end of class.