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.
Pedagogy: Math 115 is now taught as a flipped classroom. You might be interested to learn about the method and history behind this approach. What does it mean for you? Before coming to class each day, you watch some short videos (10-12 minutes) and do 4 or 5 prep problems on-line at Coursera. Then the classroom experience can be better tailored to suit your needs.
Work with anyone on solving your problem sets,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.
You are not allowed to work with anyone while taking the on-line prep questions.
Policies(or otherwise the small print)
Homework: Weekly problem sets will be due at the beginning of lecture on Friday and will be posted on Classes*v2 at least the week before being due.
On-line prep problems related to the videos must be completed by 3 am before each class.
Late or improperly submitted problems sets or prep problems 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., sickness, religious holidays, or university related trip) and get a dean's excuse.
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, stapled together, and well organized.
Your lowest problem set score and lowest 15% of on-line prep problem scores will be dropped from your final grade calculations.
There will be in-class participation credit assigned to Learning Catalytics (LC) activity participation. You will have to create a LC account with the code provided. To get credit, you must bring your internet enabled device to class and complete the activity. There will be no make up opportunities for LC activities, even if your phone runs out of batteries during class.
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 Monday, December 15th, 2014, in a place to be decided by the registrar. No notes and no devices of any kind are allowed during exams. Make-up exams will only be scheduled with a dean's excuse.
Problem set guidelines: Generally, a problem set problem in any math course will consist of two parts: the creative part and the write-up.
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