Calculus and Analytic Geometry II
SUMMER 2009

COURSE:  MATH 141 --- Calculus II

TEXT:  Calculus, Early Transcendental Functions by Larson , Hostetler and Edwards (4th Edition).
ISBN 0-618-60624-6

INSTRUCTOR:  Amos Ong (email: amos[at]psu[dot]edu)
OFFICE:  Prischak, Room 9    PHONE:  x6009

COURSE OBJECTIVES:   This is a continuation of the Calculus sequence. You would have covered until chapter 6.3 of the text in Calculus I. We will look at applications of integrals and develop methods to find these quantities like areas, volumes, moment of inertias etc. We will also learn advance methods of integration like by parts, substitutions and partial fractions. The second part of this course will concentrate on infinite series, power series and their applications. The course will end with study of parametric equations and a little bit of functions of several variables.

You will learn and master all methods of integration and familiarize yourself with series and sequences.

SYLLABUS AND EXAMS: We will cover the chapters 7, 8, 9 and a little bit of 10 and 13 of the book. There will be three mid-term and one final exams.

LESSON AND HOMEWORK: I have divided the material to be covered into lessons and will announce the schedule of lessons in class as we go. We will cover two lessons per class meeting (one before the breaka nd one after the break). YOU MUST READ THE INDICATED SECTIONS OF THE TEXT. There will also be regular homework that I assign during class. Unless specified, homeworks are usually due on Tuesdays and Thursdays.

FINAL EXAM:  There will be a cumulative final exam on July 23.

GRADING:   Your final grade will be computed with these weights:  3 exams 45%, final exam 25%, regular homework 20%, attendence and quizzes 10%. I use this grading scale:

A A- B+ B B- C+ C D F
>=  92 >=   90 >=   88 >=   82 >=   80 >=   78 >=   70 >=   60 < 60

ATTENDANCE:    You should be present and be on time at every class meeting. You should also understand that absence from class does not excuse you from learning the material covered or from turning the assignments in on time. If you need help after a missed lecture, please talk to me. You are responsible for knowing about assignments and the dates they are due, and changes in scheduling of exams or other changes in the syllabus.

SOME FINAL WORDS: Mathematics cannot be learned passively; the learner must be an active participant in the process of learning. You learn mathematics by doing mathematics. The daily homework assignments and the applications exercises are an essential part of the course. Do not leave them to the last minute, and please come to my office if you have any questions.

``The best way to learn anything is to discover it by yourself... .
What you have been obliged to discover by yourself leaves a path
in your mind which you can use again when the need arises.'
                                                                                   -- George Polya

I encourage you to work on this course with your classmates. Some of the most successful math students are those who form regular study groups to review class material, discuss homework, and prepare for exams.

Please do not hesitate to come to my office. I can give you help with particular problems; I can also give suggestions about how to learn math in general and how to study for math exams.

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