General Information for Math 5 Calculus I

Instructor: My name is Thomas Hunter. My office in the mathematics department is in Dupont 185. You can reach me by phone at 328-8244 or by email at thunter1@swarthmore.edu.

Office Hours: Monday and Friday 1:30--3:00pm, Monday 7:00--10:00pm Wednesday 9:30--10:30am and by spontaneous appointment. The stated slots are times you can be sure to find me in my office and willing to talk. Other times are fine, but to be sure that I am available, you should make an appointment with me. Of course you should feel free to stop by anytime and see whether I am available.

Text: We will use the text Calculus by Deborah Hughes--Hallet, Andrew M. Gleason, et al. It is available at the bookstore.

General Game Plan: We will cover chapters two through six of the text, going back to parts of Chapter one as necessary. A more detailed plan is included with this document and will be updated periodically.

Meetings: Meetings will be Monday, Wednesday, and Friday at 11:30 am. Wednesday and Friday we will always meet in Dupont 190. Most Mondays we will meet in the Kohlberg computer classroom.

Homework: I will assign homework in every lecture and each set will be due one or two class meetings after it is assigned. (The problems on the attached plan are listed next to the lectures during which the material is most closely covered. They are a best guess as to what I will assign. I will try to stick to this schedule, but I reserve the right to change it to meet the classes needs.) There will be a grader for the course, but I will try to keep close track of how the grading is going.

Exams: There will be two mid--terms and a final exam. The mid--terms will be held during our regularly scheduled class meetings and the final will be scheduled by the registrar. Right now I expect the midterms to be Friday, October 4, and Friday, November 15. I will announce any changes in these dates at least a week before the actual date of the test.

Quizzes: Each Monday at the beginning of our meeting (which will usulally be a lab/collaborative work meeting in Kohlberg) I will give a very short quiz with one, or at most two, easy problems from the material from that week. There will be no make--up quizzes, but the two lowest quiz scores will be dropped at the end of the semester, so you can miss two quizzes with no penalty.

Grades: The quizzes combined (with drops as described above) will be worth 100 points. Each mid--term will be worth 100 points. The final will be worth 100 points. If the final is the lowest of these four numbers, your grade will be based on the sum of all four values, with each including the final counting for a possible 100 points. If the final is not the lowest value, I will drop the lowest value and double the final, thus still making the maximum possible number of points 400. Formulaically summarized, the formula for your number is:

Q + M1 + M2 + 2F - D.

Clinic: Math Clinic will be run every evening which precedes a weekday, starting sometime in the first or second week of the semester. The Clinic is a great resource for all students---not just for those with difficulties. It is a place where you can work together with other students and know that help and encouragement are available whenever you need it.

Computers and Calculators: I expect to write my tests in such a way that all that is useful is your brain and a writing implement. However, in the process of learning (as opposed to the process of evaluation), graphing and computational tools can be very useful. We will learn how to use the Macintosh graphing calculator and a little bit about how to use matlab for numerical computation. These tools are available in the public computing areas throughout campus. The college has a site license for matlab, so you can run a copy for free anywhere on the campus network. PowerMacs running system 7.5 or higher come equipped with the graphing calculator. (If you have a graphing calculator or other tool which you know how to use well enough to use instead, you are welcome to do so--however I may not be able to help you with any difficulties you may have unless I am familiar with what you are using. If you don't have a graphing calculator, you need not buy one for this course.)

Late work: Generally speaking late work will never be accepted and exams may never be taken late. In the case of irreconcilable conflicts you may schedule an exam earlier than the official time, but make up exams will not be given after the regularly scheduled exam except for the most extraordinary circumstances. (For example, global invasion by extraterrestials.)

Tentative Schedule
DateTopic Problems
Mon. Sep. 2 2.1: Measuring speed 2.1: 1--4, 5, 6, 7--9, 10, 13, 14.
Wed. Sep. 4 2.2: The deriviative I 2.2: 1--6, 9, 10, 14, 16, (\ldots)
Fri. Sep. 6 2.3 & 2.4: The derivative II 2.3: 1--8, 18, 33--35,
Mon. Sep. 9 LAB: What does the derivative look like? 2.4: 1--8, 16, 17, 18
Wed. Sep. 11 2.5: The second derivative 2.5: 4, 5, 6, 9, 10, 11
Fri. Sep. 13 2.6: Linear approximation 2.6: 1, 2, 6, 7, 9, 10
Mon. Sep. 16 LAB: Linear approximation Chapter 2 Review Problems: 1,2, 8--14
Wed. Sep. 18 2.7 & 2.8: Limits and differentiability 2.7: 1--12; 2.8: 1--3
Fri. Sep. 20 3.1: Measuring distance 3.1: 1, 2, 3, 9, 10.
Mon. Sep. 23 LAB: Measuring distance 3.2: 1--6
Wed. Sep. 25 3.2 & 3.3: The definite integral 3.2: 7-17; 3.3: 1--4, 18, 19, 20, 21
Fri. Sep. 27 3.4: The Fundamental Theorem of Calculus 3.4: 1--11
Mon. Sep. 30 LAB: Integrals from sums 3.4: 12--22
Wed. Oct. 2 3.5: More on limits 3.5: 1--6.
Fri. Oct. 4 First midterm
Mon. Oct. 7 LAB: The fundamental theorem of calculus Chapter 3 Review Problems: 15, 18, 19, 21.
Wed. Oct. 9 4.1 & 4.2: Mindless Differentiantion 4.1: 3--5, 4.2: 1--18
Fri. Oct. 11 4.3: The exponential function 4.2: 19--36
Mon. Oct. 14 Break!
Wed. Oct. 16
Fri. Oct. 18
Mon. Oct. 21 LAB: Exponential Functions 4.3: All problems whose numbers are divisible by three.
Wed. Oct. 23 4.4: The product and quotient rules 4.4: 1--20.
Fri. Oct. 25 4.5: The chain rule 4.5: 1--24.
Mon. Oct. 28 LAB: The chain rule 4.5: 25--35.
Wed. Oct. 30 4.6: Differentiating Trig functions 4.6: 1--20.
Fri. Nov. 1 4.7 & 4.8: The chain rule in action 4.6: 21, 22, 28; 4.7: 2, 5, 8, 11, 14, 17
Mon. Nov. 4 LAB: Graphs of implicit functions 4.8: 1--11.
Wed. Nov. 6 4.9& 5.1: Approximation and the first derivative 4.9: 1, 3, 6, 8; 5.1: 5--10
Fri. Nov. 8 5.2: The shape of curves 5.2: 4--7, 18, 19, 22--27.
Mon. Nov. 11 LAB: Graphing from derivatives 5.2: 28, 29.
Wed. Nov. 13 5.4: Marginality 5.4: 1--5.
Fri. Nov. 15 Second Midterm
Mon. Nov. 18 LAB: Families of curves(5.3) 5.3: 1--5, 8, 14, 15.
Wed. Nov. 20 5.5: Optimization 9, 11--16
Fri. Nov. 22 5.6: More Optimization 5.6: 1--10
Mon. Nov. 25 LAB: Newton's method(5.7) 5.7: 1--4, 11.
Wed. Nov. 27 6.1 & 6.2: Properites of the integral 6.2: 1, 5, 7, 8, 10.
Fri. Nov. 29 Break!
Mon. Dec. 2 LAB: Graphical integration(6.3) 6.3: 1--11.
Wed. Dec. 4 6.4: ``Algebraic'' Antidifferentiation 6.4: All problems whose numbers are divisible by three.
Fri. Dec. 6 6.5: Newton's Law
Mon. Dec. 9 Last Day!