Professor Tom Valente firstname.lastname@example.org
MTWR 2:30-4PM Bagby 123, x6210
MWF 9:30-10:20 and Tu 1:30-2:20 in Bagby 111
Calculus of a Single Variable, 10th Edition, by Larson and Edwards (2014).
The most important concept in studying Calculus is that of limit of a function. Thus, our goal for the first part of the course will be to build to the point where we have a reasonable understanding of what “limit of a function” is. With this concept, we then define an important class of functions known as continuous functions. We can also define the notions of derivative, and later, integral of a function as particular kinds of limits. Once we define and understand the derivative, we can interpret it as a rate of change, and use it in a variety of problems having to do with rates of change and, importantly, optimization problems.
Once we understand the integral, we can interpret it geometrically as an area and begin to use it also as a tool for solving problems in a wide range of fields. The course will culminate with an amazing theorem known as the Fundamental Theorem of Calculus, which relates the two seemingly unrelated concepts of derivative and integral!
You are permitted no more than four unexcused absences, in accordance with the policy on p.42 of The Academic Catalogue. Three such absences may precipitate a WF warning letter, sent to you and to your adviser. Note that attendance will affect a portion of your grade (see below).
Outline of Topics:
Functions and their Graphs
Inequalities and Absolute Value
Functions and Limits:
Applications of the Derivative
The Definite Integral:
The Fundamental Theorem of Calculus.
Your grade is computed as follows:
4 in-class exams 400 points
Quizzes/HW 100 points
Final Exam (Wednesday May 10th 9AM) 200 points
Additionally, if at the end of the semester you have no more than four
absences (excused or unexcused), I will reward you by dropping either your lowest in-class exam grade or your homework/quizzes grade.
The 4 in-class exams are tentatively scheduled for the following days:
February 7th,, February 28th, March 28th, April 25th
Makeup exams are not a given unless you have a very good reason and you contact me beforehand.
Plenty of homework will be assigned during the course of the semester, and these problems will serve as practice for quizzes, which will be given on a frequent basis.
Enough homework will be assigned, so that you will need to spend at least some time each night on Calculus. Please seek me out after class or during my office hours if you have questions on the homework. I enjoy the give-and-take that comes with helping students and the learning that hopefully comes about in one-on-one sessions.