Math 141.01

Calculus I

Fall 2021

Instructor:

Professor Tom Valente    tvalente@hsc.edu

Office Hours:

MW 3:30-5:00, T 10:00-12:00  other times by apt,  in Morton 022,   x6210

Class Meetings:

MWF 9:30-10:20 AM in Panhill Commons,

and T 12:30-1:20PM, in Brown 208.

Required Textbook:

Calculus of a Single Variable, 10th Edition, by Larson and Edwards (2014).

Course Description:

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!

Attendance:

Regular in-person attendance is valuable for helping you succeed in this course. For this reason, if you miss class, you should be in touch with me promptly. Students who are quarantined will be expected to keep up with material remotely. This includes arranging with me to take quizzes remotely and in-sync with your peers. Any request to attend class remotely via Zoom must be sent to me, along with a valid reason, and must be received AT LEAST 45 minutes prior to the class meeting time.

As in a typical semester, if you have more than 4 unexcused absences, you will be eligible for a WF warning; more than 6 unexcused absences may result in a WF.

Outline of Topics:

Functions and their Graphs

Inequalities and Absolute Value

Functions and Limits:

Continuity

The Derivative

The Definition

Geometric interpretation

Differentiation techniques

Applications of the Derivative

The Definite Integral:

Definition

Geometric interpretation

Integration techniques

The Fundamental Theorem of Calculus.

4 in-class exams                                              400 points

Quizzes                                                           100 points

Final Exam                                                     200 points

Your grade is computed two ways – one based on all 700 points, the other on 600

points, after having dropped on of the five 100-point units, the better of the two

being used to assign you your final grade.  But only if you have good attendance,

as in fewer than 5 unexcused absences.

Exam Policy:

The 4 in-class exams are tentatively scheduled for the following Tuesdays:

September 14th,, October 3rd,  November 2nd,  November 23rd

Makeup exams are not a given unless you have a very good reason and you contact me beforehand.

Homework:

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 during my office hours if you have questions on the homework.