Syllabus

This page serves as the syllabus for math102-a22, Calculus II, taught by Chris Eppolito in the Advent 2022 semester. I may change any portion of this document at any time. In the event this is necessary, I will contact enrolled students by email.

Read this document carefully. This is a contract between us concerning how our course will run.

I suggest that you also see the study tips on the home page (and let me know if you have any further suggestions).

Calculus is a major building block for the natural and physical sciences. The techniques and results of calculus are fundamental not only to mathematicians, but to physicists, chemists, and biologists. In more practical applications, calculus is a cornerstone of materials science and engineering. Beyond the sciences, calculus and related fields have strongly influenced the arts, including music, painting, photography, and many others. There isn't a single area beyond the influence of calculus!

This course seeks to extend your competence in calculus, and to introduce you to additional mathematical techniques used in the sciences. We begin the semester studying techniques of integration, and addressing some additional topics which come up along the way. We then move on to study infinite sequences and series, new objects often used to make approximations in the sciences.

The official description of this course from the course catalogue is…

A continuation of Calculus I. Topics include further theory and applications of integration, techniques of integration, and introduction to series. Some work with a computer is included.

Here is what I expect from you at a minimum.

• Submit your own work, and adhere to the Honor Code (more below).
• Be mindful and courteous during ALL interactions with me and your peers (including emails).
• Communicate with me if you have any concerns—I can help you, but I need to know that I should!
• Know when assignments are due and planning accordingly so that they are submitted in a timely fashion.
• READ YOUR EMAILS.

• Solutions to exercises must clearly demonstrate the logic you used, and may only use methods and notations discussed in my lectures or OK'd by me in advance. Everything you turn in must be legible AND well-organized, with clear logic describing your solution.

  A few thoughts on how I do this:

  1. Write a first draft, solving the problems.
  2. REWRITE that draft, now including the necessary English to make full sentences so other people can understand what you've done.
  3. Take some time to do other things (e.g., get a coffee or have a nap).
  4. Return to your work, and check that it still makes sense.
  5. Repeat as necessary 2–4 until you attain work that makes us both proud.

  Remember: if your work would be too messy for an English class, it's too messy for my class.

You agreed to follow the Honor Code when you matriculated. All forms of academic dishonesty, including plagiarism, are violations of the Honor Code and will be treated as such. If you ever have a question about an assignment or need additional help, please ask for assistance rather than jeopardize your academic career.

The University of the South is committed to fostering respect for the diversity of the University community and the individual rights of each member of that community. In this spirit, and in accordance with the provisions of Section 504 of the Rehabilitation Act of 1973 and the Americans with Disabilities Act (ADA), the University seeks to provide students with disabilities with the reasonable accommodations needed to ensure equal access to the programs and activities of the University.

Any student with a documented disability needing academic adjustments is requested to speak with Student Accessibility Services (SAS) as early in the semester as possible. If approved for accommodations, the student has the responsibility to present their instructors with a copy of the official letter of academic accommodations. Please note: Accommodation letters should be dated for the current term; accommodations will not be provided without a current accommodation letter; and accommodations cannot be applied retroactively.

SAS is located in the Office of the Dean of Students (931.598.1229). Additional information about accommodations can be found on the Student Accessibility Services website.

Students who have questions about physical accessibility should inform their instructors so that we can ensure an accessible, safe, and effective environment.

This syllabus operates under the assumption that our course meets in person for the whole semester. I will make a major update to this syllabus if COVID-19 interferes.