**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:

**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.)

Date | Topic | 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! | |