Math 104: Calculus, Part I

Instructor: Isabel Lugo, isabel@math.upenn.edu.

Class Time: MTWR, 10:00-12:10, room DRL 3C4. There will generally be a break in the middle of the class period, from approximately 11:00 to 11:10. The first class meeting is on Monday, June 26; the last class meeting is on Thursday, August 3. There is no class on Tuesday, July 4.

Office hours: DRL 4N19, Monday and Wednesday 12:15-1:15. (The days of the week might change if the homework or exam schedule shifts, but the time will generally be right after class.)

Website: http://www.math.upenn.edu/~isabel/104/

Textbook: James Stewart, Calculus, 5th edition.

Prerequisites: This is nominally the department's first calculus course; however, I quote the advising page (see below for link), which states: Math 104, Calculus, Part I, the first calculus course, assumes that students have had the equivalent of AB Calculus in high school, and are familiar with calculus concepts through applications of differentiation and basic integration techniques. This is essentially the content of Math 103; see here for information on that course. (It uses the same textbook, so if you just need to brush up on things then tak ea look through the beginning part of the book.) For more advice on which course to take, see the department's advising page, which probably explains the situation better than I can.

Topics: The registrar's office describes the class as follows: Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem. Use of symbolic manipulation and graphics software in calculus.

The topics of the course are indicated in more detail the department's generic syllabus. In particular, this syllabus indicates which sections of the textbook we will cover, and lists "Core Problems" from each section. These core problems define the scope of the course, in the sense that you should be able to do these problems and problems of comparable difficulty. If time permits, we may do some applications from sections of the book not listed here or from outside the book, but these core problems are the main material of the course and indicate what sorts of things the teachers of classes having this as a prerequisite will expect you to know.

I do not intend to formally review the calculus you should already know; I will review it in an ad hoc manner as questions come up, however.

Homework: There will be approximately nine homework assignments. Most of the homework will be drawn from the "Core Problems" of the text. I will grade perhaps half of the problems on the homework (the same problems on each homework set) and check that you have done the other problems. I intend to post solution sets for the homework shortly after they are due; if I do not, feel free to ask me how to solve problems you have questions about.

No homework will be accepted after 2:00 pm on the due date; ideally you should hand it in in class. Homework should be handed into my mailbox in the department mail room, 4C1 (not the inbox on my office door). Collaboration is highly encouraged, but you must write up your own homework. See the university's Academic Integrity Policy.

Testing: There will be one midterm exam, at the midpoint of the course, on Thursday, July 13. There will be a cumulative final exam on the last day of class, which will be more heavily weighted towards the second half of the course. No makeup exams will be given.

Grading: