Syllabus for Summer Calculus II

Professor: Mark McClure

Course purpose

As you know, calculus is a powerful set of tools built on the notions of limit and infinity that help us analyze functions and solve many applied problems. In this course, we'll push the ideas you learned in Calculus I further to study:

• Techniques of integration: Integration is much harder than differentiation. We'll learn several techniques to make life easier.
• Applications integration: Calculus grew up with science and continues to have many applications today. We'll learn a few of these.
• Understanding of the infinite: We'll learn ways to add infinitely many numbers or functions. This will be profitable both scientifically and philosophically.

Course structure

This class is offered in a hybrid mode, which gives us a lot of flexibility. My intention is to teach from the classroom almost every day. Our classroom has a good audio visual set up, so I'll use the camera and microphone to allow students to Zoom in to lecture, if they like. I do encourage students to come to class physically, but that will only be required on exam day.

Having said that, this is emphatically not an asynchronous class. Attendance during the class period (in person or via Zoom) will be required and participation will be imortant. We will do group work almost every day (either in a Zoom breakout room or in a small group in the classroom) and that participation will count signficantly towards your grade.

In addition, while one can take this class mostly online, I do plan to have two in class exams - one midterm on Friday, June 25 and a final exam on the last day of class, which is Friday, July 16.

Materials

The number one tool that you'll need is a computer and a good internet connection. At this point, I suspect that most students are fully comfortable with Zoom. While I generally plan to teach in the classroom, it's certainly possible that I'll teach remotely a few times. A smart phone will often not be sufficient since we'll frequently need to access:

• The text: We will the Active Calculus textbook by Matt Boelkins. This is an outstanding, freely available, open source text that you can browse online. It is available in several formats:
  • HTML PDF
  • Print ($20 from Amazon)
  You do not need to purchase the Print version, but you may if you like having a book in your hand. The HTML and PDF versions are free and you'll need to use the HTML version for interactive HW anyway.
• WebWork: We will have regular auto-graded homework using WebWork. Your username is the same as your UNCA username and your initial password is your student ID number.
• Our forum: More info coming soon.

There are some tools that we will not use:

• Calculators: While we will use computers for visualization and serious computation, the use of hand held calculators generally obscure the main conceptual points of mathematics. We will not use them on exams.
• Moodle: All material will be disseminated via our class web page.

Grades

• Exams: There will be two, in class exams during the term; likely dates for the exams are:
  • Friday, June 25
  • Friday, July 16
• Qizzes: We will have quizzes almost every Friday (but maybe not on Friday, July 2). One of those (on Friday, June 18), will be in class.
• Homework: There will be three types of homework:
  • Textbook assignments, which will not be collected but offer important practice
  • Online, automatically graded HW, and
  • Forum assigments, which give us an opportunity to collaborate.
• In class problems: We will work problem sheets together most days. Quiz and exam problems will be closely related to these sheets. In addition, you will gain points simply for participating regularly.
• Final grades: I will determine final grades using a scale not more stringent than the standard 90-80-70-60 scale. You will be apprised of your standing as the term progresses.
• Late work: In general, I don't accept late work.
• Cheating: I don't deal with cheating. If I suspect cheating strongly enough, I simply refer you to the provost and fail you for the class.

Your rights and responsibilities

It's worth understanding your rights and responsibilities as a student at UNCA. One of my responsibilities is to make sure you have the information that you need to do that. Since this is common to all classes, I've got that information on this legalese document.