MATH 222: Calculus II

Calculus, 3rd edition, by Robert Smith and Roland Minton.

We will cover roughly chapters 6-10. Topics are subject to change depending on the progress of the class, and various topics may be skipped due to time constraints.

Please note that we will work on developing your independent reading skills in Mathematics. I certainly won't be able to cover in class all the material you will be required to learn. As a result, you will be expected to do a lot of reading. You should read the sections of the textbook which correspond to the material covered during the lectures. The reading will enable you to answer my questions and ask your own focused questions during the lecture and help you to better understand the material.

We will make use of the TI-89 calculators. Therefore, it is probably in your best interest to have one.

It may be helpful to make use of mathematical programs such as MATLAB, Maple, or Mathematica periodically. These are available in most student computer labs throughout campus.

Topics covered: Topics include transcendental and inverse functions, various techniques of integration, improper integrals, differential equations, sequences and series, Taylor series, parametric equations, polar coordinates, and various applications.

Math 222, Calculus II, is the second semester course of the calculus series and is intended as a continuation of the development of single-variable calculus. We will cover the differential calculus of transcendental functions (exponentials, logarithms, inverse trig functions, etc.) as well as continue the integral calculus we began in Math 221, Calculus I. We will introduce techniques of integration such as integration by parts, trigonometric substitution, and partial fraction decompositions.

We will also cover the mathematics of sequences and series. That is, we will study lists of numbers and the sums of those numbers. When adding an infinite list of numbers, it may be surprising to you that the sum may in fact be finite. Thus we will learn "tests" for determining if a series "converges" to a finite number or if it actually "diverges" to infinity. Finally, we will also learn about parametric equations and polar coordinates, and the calculus of such things. Throughout the course, we will discuss applications of these topics to problems coming from other disciplines.

Your overall grade will be determined as follows:

• 20% - WeBWorK, Quizzes, and Class Participation
• 20% - Exam 1
• 20% - Exam 2
• 20% - Exam 3
• 20% - Final Exam

Your overall grade for the course will reflect how well the class is doing, and will be high if everyone is working hard on the homework and doing well on the exams. Almost all the questions on the exams will be in the same spirit with the homework questions. Therefore understanding how to do all the homework questions will enable you to do well on the exams.

Homework: Most homework will be done through the internet-based homework system called WeBWorK. However, there may occasionally be problems you must write out and hand in to me. All assignments must be completed by the given due date.

Moreover, while it is not required that you complete a handwritten version of WeBWorK assignments, it is strongly encouraged. Writing a problem out by hand, showing all calculation steps, and keeping them collected in a notebook will greatly assist you as you prepare for exams.

Exams: There will be three Midterm Exams and one Final Exam. Exams are closed book, closed notes, closed friends, and open brain. Cell phones, iPods, and other electronic devices will NOT be permitted in exams. Whether or not calculators are allowed on an exam will be determined at a later time.

Quizzes and Class Participation: There will be occasional, unannounced quizzes in class to make sure students are understanding and keeping up with the course material. Quizzes will be based on material from homework and previous lectures. It is also imperative that you keep up with reading the textbook. NO MAKE-UP QUIZZES WILL BE GIVEN. Class participation will be based on your willingness to ASK and ANSWER questions in class.

It is essential not to fall behind because each lecture is based on previous work. If you have trouble with some material, SEEK HELP IMMEDIATELY in the following ways: