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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.
Work with anyone on solving your homework problems,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 midterms 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 makeups, 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 writeup.

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