What will I learn in this course?

COURSE LEARNING OBJECTIVES:

By the end of the semester, you should be able to:

- Find derivatives of inverse trigonometric and hyperbolic functions.
- Use L'Hospital's Rule to find limits. (Now covered in Calculus I.)
- Find integrals using integration by parts, trigonometric substitutions, or partial fractions.
- Evaluate improper integrals.
- Use Simpson's Rule to approximate definite integrals.
- Find the arc length of curves.
- Find slopes, areas, and arc lengths of curves defined by parametric or polar equations.
- Find limits of sequences.
- Evaluate telescoping and geometric sums and series.
- Apply the integral, comparison, alternating series, ratio, and root tests to determine the convergence of series.
- Use and manipulate power series for elementary functions. Find power series, including Taylor series, for functions; differentiate or integrate these, and use them to approximate functions.
- Compute dot and cross products of vectors, find vector projections, and use these to find angles, distances, or areas in three dimensions.

What is the pre-requisite for this course?

MATH-M 215 with a C or better.

Review the Syllabus

Now is a good time to review the course syllabus. You have quick access to the course syllabus by following the "Syllabus" link in the navigation panel on the left.

What is expected of me, and what can I expect from others?

This class is a community of learners. As a member of a community, we have certain expectations of one another. I would like to give a short overview of the most important expectations. This is not an exhaustive list, but it will provide us with a basic framework that will inform our behavior.

We promise to be professional and respectful in tone and practice civility used in communicating with fellow learners and the instructor, whether the communication is by electronic means or by telephone or face-to-face.
In written communication, both formal and informal, we use Standard English rather than popular online abbreviations and regional colloquialisms. We use correct spelling and grammar.
We use the equation editor in the discussion forum to provide mathematically correct notation. In order to make the forum accessible to all learners, we refrain from including images of hand-written work (except for contributions that include a graph).

As a community of learners, we will work together to master the material. We pledge to help each other. For this reason, any question about the mathematics of this course should be discussed in the discussion forum. Requesting specific help on a problem directly from me is not appropriate, since it denies a learning opportunity to other students. I will contribute to the discussion forum and guide the conversation in the right direction.

For questions that relate only to you (such as a request to submit a late assignment, or a question on a grade in your test), please contact me through the Canvas mail system. You can expect a response within 24 hours on weekdays.

How much time do I need to devote to this course?

In a traditional classroom environment, students spend around two and a half hours in the physical classroom per week and should spend about 2-3 times that much time outside the classroom on related material. Your minimal time to devote to this course should then be 9-10 hours per week. This will include reading your textbook, going through each module, and working on assignments. You should be logging in at least 2-3 times a week to make sure you are accessing all the material you need to succeed in this course. Time management will be extremely imperative in this course.

Please note that there is not a one-size-fits-all approach to this. Some people may need to spend more time than others to get the desired results.

What Technical Skills do I need?

In order to be successful in this course, you must be able to navigate the Canvas Course Management system. In particular, please make sure you know how to use Canvas Email, navigate the modules, contribute to the discussion forum, and submit assignments through the Assignment Tool.

In order to submit your tests, you will need to produce pdf documents with your solution. This may be created in a variety of ways, including scanning hand-written documents (in which case you must have a scanner); typing the documents in a word processing program (e.g., Word); or typesetting the assignment in LaTeX. You may download the Microsoft Office Suite free of charge from iuware.iu.edu.