# Math 115 Calculus of Functions of One Variable II

## Semester: Fall 2013

Lecture 01 (10234)
 Inst : Dr. Asher Auel asher * auel AT yale * edu Time : Mon Wed Fri 09:25 - 10:15 am Loct : LOM 201
 Office : LOM 210 Phone : (203) 432-4187 Officehours : Mon 10:30 - 11:30 am Wed 03:00 - 04:00 pm
 Text : Calculus, Early Transcendentals, 7e: Math 115 James Stewart ISBN-13 1-111-95350-3.
Problem Solving Sessions : Tue, Wed, and Thu, 07:00 - 09:00 pm in LOM 214.
Course syllabus and homework schedule.
Final exam review guide
Main course syllabus direct link (bypass Classes*v2).

Description of course: This course is about integral calculus and infinite series. You should already be familiar with differential calculus. The derivative measures the instantaneous rate of change of a function. The definite integral measures the total accumulation of a function over an interval. These two objects form the basis for nearly all mathematical formulas in science. The rules by which we can compute derivatives and integrals of any function are called a calculus. The Fundamental Theorem of Calculus links the two processes of differentiation and integration in a beautiful way. Using calculus, we want you to learn how to model situations in order to solve problems. The second half of the course is a careful investigation of infinite sequences and series, culminating with Taylor's theorem and applications to physics.

 Homework 15% Midterm exam 1 (03 Oct) 25% Midterm exam 2 (13 Nov) 25% Final exam (15 Dec) 35%
Grades: Your final grades will be based on weekly homework, two midterm exams, and a final exam. Notice that more emphasis is placed on exams than on weekly homework assignments in computing your final grade. On the other hand, completing your homework on a weekly basis is the most sure way to success on the exams.
Group work, honestly: Working with other people on mathematics is highly encouraged and fun. You may work with anyone (e.g., other students in your section, in the course, not in the course, tutors, bums on the street, ...) on your homework problems. If done right, you'll learn the material better and more efficiently working in groups. The golden rule is:
Work with anyone on solving your homework problems,
but write up your final draft by yourself.
Writing up the final draft is as important a process as figuring out the problems on scratch paper with your friends, see the guidelines below. Mathematical writing is very idiosyncratic - we will be able to tell if papers have been copied - just don't do it! You will not learn by copying solutions from others! Also, if you work with people on a particular assignment, you must list your collaborators on the top of the first page. This makes the process fun, transparent, and honest.

# Policies

(or otherwise the small print)

Homework: Weekly homework will be due at the beginning of lecture on Friday. The assignment will be posted on Classes*v2 the week before it's due.

{Late or improperly submitted homework will not be accepted.} Period. If you know in advance that you will be unable to submit your homework at the correct time and place, you must make special arrangements ahead of time (e.g.\ religious holidays or trapped on a desert island).

Consider the pieces of paper you turn in as a final copy: written neatly and straight across the page, on clean paper, with nice margins and lots of space, and well organized.

Your lowest homework score from the semester will be dropped.

Exams/quizzes: Both mid-terms will take place 7:00 - 8:30 pm at a location to be decided. The final exam will be take place 7:00 - 10:30 pm on Sunday, December 15th, 2013 in Davies Auditorium. For official policies concerning make-ups, see the Classes*v2 "Exams" page.

Homework guidelines: Generally, a homework problem in any math course will consist of two parts: the creative part and the write-up.

• The creative part: This is when you "solve" the problem. You stare at it, poke at it, and work on it until you understand what's being asked, and then try different ideas until you find something that works. This part is fun to do with your friends; you can do it on the back of a napkin. If you're having trouble, even in understanding what the problem's asking, use the resources available to you: my office hours, teaching assistants' office hours, weekly tutoring sessions, etc. Ask for help as early as you can! This part should all be done on "scratch paper."

• The write-up: Now that everything about the problem is clear in your mind, you go off by yourself and write up a coherent, succinct, and nicely written solution on clean sheets of paper. Consider this your final draft, just as in any other course. This part you should definitely NOT do with your friends.