This course continues where math 142 left off. The same textbook will be used:
We will begin by reviewing the various methods of integration, and immediately do some applications: Improper Integrals (7.8), Arc Length (8.1) and Surface Area (8.2). Next, Parametric Equations and Polar Coordinates (10.1 - 10.4) will be covered. Here, the main idea is to describe curves more generally, and to study calculus in this setting. Previously, we saw that some curves can be described using a single function (e.g a parabola), while some curves cannot (e.g. a circle). By using more than one functions, we are able to describe a larger family of curves and say how to compute derivatives on them.
The last topic covered, and what forms the majority of the course, deals with Infinite Sequences and Series (chapter 11). This entire chapter will be covered, and for most students, the material will be very new. Studying infinite sequences (an infinite list of numbers) is equivalent to dealing with limits, and most students in this course find the ideas fairly easy to grasp. Series, however, can sometimes be a bit more difficult to conceptualize. This involves adding infinitley many small quantities and saying something about the overall sum. Don't feel bad if you are having problems understanding the nature of infinite sums; even the ancient Greeks, with their sophisticated mathematics, never really understood them! (see Zeon's Paradoxes).
Homework will be done online via WeBWorK. Your username is your netID and your password is your studentID. Please login and change your password. Let me know as soon as possible if you are unable to access WeBWork.
There will be one assignment each week due on Friday at 6:59pm. Each assignment should have approximately 15 questions, but depending on what is being covered, there could be more or less questions. Assignment 0 is a practice set to familiarize you with WeBWork and will not count towards your grade.
WeBWorK immediately indicates whether on not your answer is correct, and unless otherwise specified, you have unlimited tries to answer a question. Your score will not depend on how many times you try to answer a question. Get started early on WeBWorK!. This will put you in a better position to get help before the due date.
There will also be supplementary problems for each section covered. These will be listed on the course schedule and it is completely optional for you to do them. It is recommended that you do as many as possible to improve your understanding of the topics.
The recitations will be organized as weekly workshops where you will be given problems to do in groups of 3 or 4 students. Your TA will guide you in the right direction without giving you the answer. These workshop problems will be more conceptual to help you develop a firmer understanding of the ideas. The problem sheets will be collected at the end of recitation, and your TA will grade them and post your grade on blackboard. You are allowed to use your notes and textbook to solve the workshop problems, but calculators are not encouraged since you won't be allowed to use one on the exam.
In terms of grading, the workshops will count for 10% of you class grade, therefore it is crucial that you attend them. Only the top 10 workshop scores will be counted, so you will able to drop a few of the lowest scores.
You may also use the workshop to ask your TA questions on the WeBWork, or to clarify any misunderstandings you may have.
Recitation sign-up sheets will be posted on the 1st or 2nd floor of Hylan near the elevators on Friday, September 5th. Please sign up for a recitation ASAP! Make note of the time and location of your recitation when you sign up. Workshops will start the first full week of classes (September 8-12). You must attend the workshop you signed up for. If you have an emergency or a conflict with the workshop time, you may contact your instructor about attending another workshop for that week. Make-up workshops will not be given.
| WeBWorK | 20 % |
|---|---|
| First Midterm | 20 % |
| Second Midterm | 20 % |
| Final | 30 % |
| Workshops | 10% |
As explained in details below, the final exam will have e parts. Parts 1 and 2 will cover the same material as the first and second midterms, however these scores WILL NOT be used to replace scores from your midterm exams.
If you miss a midterm for a legitimate reason, then Part 1 or 2 of the Final may count as your makeup. YOUR PROFESSOR HAS THE RIGHT TO NOT ALLOW MAKEUP EXAMS.
The final exam is comprehensive and in 3 parts. Part 1 of the Final Exam will cover the material from the first midterm exam, Part 2 will cover material from the second miderm and Part 3 will cover the remaining material. MIDTERM EXAM GRADES WILL NOT BE REPLACED BY GRADES FROM THE FINAL EXAM. So it is important that you are prepared for every exam.
A good way to study for final is to start by re-doing the midterm exams. If you can do all the problems (and all similar types of problems) on the midterm exams, you should do well on Part I of the final. Do not memorize how to do the problems on the midterms; learn the methods and ideas behind each problem. You should review all of your class notes, and make sure you can the WeBWorK problems and supplementary problems.