CCBC Essex School of Mathematics and Science

MATH 252 Calculus II Section: WE1

CLASSROOM LOCATION: WWW SEMESTER: Fall 2009

Instructor: LIsa Brown OFFICE LOCATION: F 401

instructOR Phone: 443.840.2825 Email: LBrown@ccbcmd.edu

WEBPAGE: http://student.ccbcmd.edu/~lwalte19/lwalterhome.html

Office hours: Thursdays 1:45 – 3:45 pm

Chat Hours: Tuesdays 9:30 – 10:30 pm

Course Pre-requisites: MATH 251 or consent of instructor

COURSE DESCRIPTION

Covers anti derivatives, approximation techniques for definite integrals, integration techniques, improper integrals, applications of definite integrals, infinite series, power series, Taylor series and introduction to differential equations.

REQUIREMENTS (papers, oral reports, projects, etc.)

EXAM 1 = 200 points; EXAM 2 = 200 points; FINAL EXAM = 300 points

GRADED ASSIGNMENTS #1: 50 points; #2: 100 points; #3: 100 points; #4: 50 points

Grading policy

A: 90% or above

B: 80% or above

C: 70% or above

D: 60% or above

F: below 60%

Attendance policy FOR THIS COURSE:

You should login to the course at least 3 times a week. This is mainly to check your email and the discussion board for important information, hints, reminders, and answers to any questions you or your classmates may ask. I can tell if and when you have logged into the class and if you are reading your email and discussion board messages. If you are not logging in you are not “showing up for class.” Your attendance will be monitored closely because I want you to do well and not get behind. You do not have to attend chat sessions or office hours.

TEXT(S):

Calculus Early Transcendental Functions by Larson Edition 4

Houghton Mifflin

ISBN-10: 0618606246

ISBN-13: 9780618606245

Materials:

· TI 89 graphing calculator (You can borrow one for the semester from the Essex Library.)

· High speed internet

· BlackBoard Support pluggins found on the following webpage

o Java

o RealPlayer http://www.webct.com/tuneup/viewpage?name=tuneup_browser_tuneup_information#plugins

· Complete the browser tune up on the following webpage

http://www2.blackboard.com/tuneup

· OPTIONAL Eduspace Essential Passkey at

http://www.ichapters.com/tl1/en/US/storefront/ichapters?cmd=catAdvancedSearch&OP=search&fieldName=All&fieldValue=9780618752874

Eduspace Essential Passkey 1^st Edition
ISBN-10:0-618-75287-0
ISBN-13:978-0-61
List Price: $27.49

(If you purchased your book from the CCBC bookstore in a past semester you can still use the code that came with your text for this semester. Books purchased at CCBC for Fall 2009 semester will not have a passcode with the text but will have a series of videos bundled with the text. These videos can be accessed through Eduspace.)

Special procedures

1. Read the section in the text or online at Eduspace. (Link here.)

2. Watch all videos for each section on DVD or at Eduspace. (Link here.)

3. Take notes by filling in the blank handouts as you read through the completed handouts. (Link here.)

4. Work through homework problems in the text assigned for each section. (Link here.)

Complete these graded activities for each chapter:

1. (Optional) Complete Section Graded Quiz for each section at Eduspace. (Link here.)

If you complete these quizzes they can be counted as 10% of your Exam grade. I will calculate your Exam grade two ways (with quizzes and without quizzes) and record the better score. You must complete all quizzes for a chapter by the Friday after the last day to take an exam.

Complete and turn in Graded Assignment for each Chapter. (Link here.)

3. Take an exam for each chapter at one of the CCBC testing centers on one of the days assigned for the exam. See course Calendar or Syllabus.

COMMENTS:

Here are some tips you should follow which will help you to succeed in this course:

Set aside a specific time each week to work on this course. The estimated amount of time you should spend is 12-15 hours/week. In a face to face course you would be attending this for 5 hours a week. The “rule of thumb” for time spent on homework for a college level class is two to three times the amount of class time per week.
Keep in touch with me and your classmates by frequently checking your course e-mail, bulletin board, and calendar. This will help build a sense of community among us. Using the various communications tools provided in this course effectively is the same as "raising your hand" and participating in class discussions.
Be aware of the time lag that is inherent in most on-line courses. Although, the communications tools make it appear that the transfer of information such as assignments is "instantaneous", it does not mean that the reply will be instantaneous. One of the hardest things about an on-line course is becoming comfortable with its asynchronous nature. In general, expect assignments and exams to be returned in one week. Expect that emails and discussion postings will be answered in 24 hours except on Sundays. I will check for questions once on Saturdays and then will return to check them on Monday afternoon.
Familiarize yourself with published deadlines.
Ask for help when you need it.
Remember that there are traditional ways for keeping in touch. Use the telephone, a fax, or make an appointment to meet with me on campus.
Work off-line and save your assignments or questions on your computer before submitting them electronically. You can use the saved version of your work to copy and paste to an on-line assignment or you can attach the saved file to an e-mail or bulletin board message. This will prevent a lot of frustration should your Internet connection or your system "fail".
Please submit files to me in pdf, doc, docx, rtf, or jpg form.
Be sure to install anti-virus software on your local system and check all downloaded files before opening them

CALENDAR

FALL 2009	FULL Term
Classes BEGIN	August 31
LABOR DAY- College CLOSED	September 7
Saturday Classes BEGIN	September 12
50% refund ends	September 18
Mid-Term grades	October 19
Last day to withdraw with “W” or change to audit “AU”	November 6
NO CREDIT CLASSES SCHEDULED	November 25
Thanksgiving Holiday - NO CLASSES	November 26-29
Last day of classes	December 12
Final Exams	December 13-19
Final Grades entered by	December 21

Tentative list of dated assignments

The topics covered and their calendar as well as the dates of exams and graded assignments are subject to change. The printed syllabus received at the beginning of the semester is a starting syllabus; the official syllabus is the latest version of the online syllabus.

8/31 – 9/18	Applications of Integration	7.1 – 7.5
Friday, 9/25	Assignment #1	Graded Assignment #1 due
9/21 – 10/12	Integration Techniques, Improper Integrals	8.1 – 8.5, 8.7, 8.8
Monday, 10/12	Assignment #2	Graded Assignment #2 due
Sat. 10/17, Mon. 10/19, Tues. 10/20, Wed. 10/21	EXAM 1	7.1 – 7.5, 8.1 – 8.5, 8.7, 8.8
10/19 – 11/14	Sequences, Infinite Series	9.1 – 9.10
Monday, 11/16	Assignment #3	Graded Assignment #3 due
Fri, 11/20, Sat. 11/21, Mon. 11/23, Tues. 11/24	EXAM 2	9.1 – 9.10
11/23 – 12/2	Parametric Equations, Polar Coordinates, Introduction to Differential Equations	10.2 – 10.5, 6.1
Wed, 12/2	Assignment #4	Graded Assignment #4 due
Fri. 12/4, Sat. 12/5, Mon. 12/7, Tue. 12/8 Wed. 12/9	FINAL EXAM	Cumulative

Assigned Practice Textbook Exercises

7.1 1 – 7, 17, 21, 25, 44, 48, 88

7.2 1 – 33 odd, 45, 46, 48, 49

7.3 1 – 4, 5 – 29 odd 32, 41

7.4 1, 3, 4, 5 – 19 odd, 27abd, 34, 37, 39-41

7.5 1 – 10, 17, 18, 21, 22, 25, 26

8.1 1 – 45 odd

8.2 5 – 39 odd, 59, 61, 63, 90, 96

8.3 5 – 9, 11, 14, 19, 25 – 43 odd

8.4 5 – 8, 9 – 35 odd, 67 - 69, 71

8.5 7 – 27 odd, 41, 43, 47, 48, 53

8.7 1 – 33 e.o.o, 75 (e.o.o. means ‘every other odd’)

8.8 5 – 9 15 – 31 odd, 37, 39, 49, 50, 53, 54, 81, 82

9.1 1 – 5, 11, 11, 25 – 35 odd, 47 – 59 odd, 69 – 71, 73, 75 – 79 odd, 103 - 108

9.2 1, 3, 7 – 15 odd, 23- 27 odd, 35, 36, 39, 45, 48, 57 – 67 odd, 91, 97, 121, 117 - 120

9.3 1 – 19 odd, 47, 79 – 87 odd

9.4 3 – 35 odd, 38, 45 – 48, 52, 55 – 58

9.5 11- 31 odd, 47 – 61 odd, 67, 68, 89

9.6 1, 2, 13 – 51 odd

9.7 1 – 5, 13 – 23 odd, 25 – 30, 33, 41, 43

9.8 1 – 33 odd, 45abd, 47abd

9.9 1 – 15 odd, 21, 53 – 55

9.10 1 – 7, 21 – 25, 35, 36

10.2 3 – 7 odd, 18 – 21, 23, 43 – 46

10.3 1 – 13 odd, 27 – 29, 37 – 39, 67 - 69

10.4 1 – 11 odd, 17, 27 – 31 odd, 35 – 40

10.5 5 – 10, 13 – 17 odd, 31 – 33, 45 - 47

6.2 1 – 13 odd, 23 – 27odd, 33, 35, 39, 41, 57, 59, 70, 71

Course Objectives

Upon successfully completing the course students will be able to:

1. Evaluate integrals using various integration techniques (III, 1 , 2)

2. Approximate a definite integral using Simpson’s Rule and Trapezoid Rule (I, IV, 4, 5)

3. Evaluate an improper integral (VI, 1)

4. Calculate volumes by cross section, discs /washers and shells (III, IV, 1, 3, 7)

5. Calculate arc length and surface area of revolution (III, 1, 3, 5, 7)

6. Solve problems from physics (work, moments, pressure) (II, V, 1, 6)

7. Determine convergence/divergence of a sequence (IV, 1, 3)

8. Determine convergence/divergence of a series (IV, 1, 3)

9. Create Power Series of functions and use them for estimation (I, 1)

10. Solve first order differential equations (II, V, 1, 2, 3)

11. Examine the mathematical contributions made by people from diverse cultures throughout history. (V, 5)

12. Articulate a solution to mathematical problems. (II, 2)

13. Apply appropriate technology to the solution of mathematical problems. (IV, 4, 5).

14. Evaluate limits using L'Hopital's Rule (I, 1, 3)

15. Graph and analyze Polar Coordinates and Parametric Equations (III, IV, 1, 2, 4)

Major Topics

I. Techniques of integration

A. Integration by parts

B. Powers of sine and cosine or secant and tangent

C. Trigonometric substitution

D. Rational functions (by partial fractions)

E. Miscellaneous substitution (e.g. u = tan(x/2) )

F. Using integral tables

G. Numerical integration (Right, Left, Midpoint, Trapezoid, and Simpson’s) with error

bounds

H. Improper integrals and L'Hopital's Test

II. Sequences, series, and power series

A. Sequences

B. Monotone sequences

C. Infinite series

D. Convergence tests for infinite series

E. Taylor and Maclaurin series

F. Tests for convergence

G. Approximation of series

H. Absolute convergent, Conditional convergent or Divergent series

I. Geometric, Harmonic, Telescoping and Binomial Series

J. Approximation and error using power series

K. New power series from old (via substitution, integration, differentiation, etc.)

L. Taylor series and remainder

M. Interval and radius of convergence for power series

III. Other coordinate systems

A. Polar coordinates (graphing, area, arclength, tangent, surface area of revolution)

B. Parametric equations (graphing, area, arclength, tangent, surface area of revolution)

Rationale (Instructor’s statement relating course content to student’s personal and academic growth, etc.)

Calculus II continues the exploration of differential calculus. This course will cover evaluation of more complicated integrals, infinite sequences and series, approximation of functions with infinite series, and calculus in parametric equations and polar equations. This is one of program requirement courses for associate of science degree, and transferable to four year colleges.

Attendance policy

Attendance at each class and lab is essential. Please be on time. Students with a legitimate problem about attendance should discuss the situation with their instructor.

NOTE: The deadline for withdrawing from a course or changing to an audit for the FALL 2009 semester is November 6 for full semester. Failure to officially withdraw from a class you have stopped attending may result in an "F" grade.

COURSE REPEAT POLICY

Policy on Repeated Courses, page 194 of the 2004-2006 CCBC catalog states, “Students may repeat a course only once without permission. When a student repeats a course, only the higher grade is computed into the Quality Point Average (QPA). All grades will remain on the student’s transcript. Before a student is permitted to register for the course for a third time, the student must have the permission of the academic dean responsible for the course. Before a student may repeat a developmental course that he or she has failed twice, the student’s record must be reviewed by a support team which will make recommendations regarding enrollment.” Please note: The instructor does not have the authority to grant permission to register for a third attempt at the course.

Disabled Students

In accordance with the Americans with Disabilities Act, CCBC is committed to providing an environment that is conducive to learning for all students. Any student who is disabled and requires special accommodation should contact the appropriate campus as follows:

Campus:	Office:	Room:	Phone:
Catonsville	Office of Disabilities Support Services	K-200	443-840-4408
Dundalk	Office of Career and Life Planning	A-100	443-840-3774
Essex	Office of Disability Support Services	A-210	443-840-1741

CODE OF ACADEMIC INTEGRITY

For the College to make its maximum contribution as an institution of high learning, the entire college community must uphold high standards of integrity, honesty, and ethical behavior. In seeking the truth, in learning to think critically, and in preparing for a life of constructive service, honesty is imperative. Each student has a responsibility to submit work that is uniquely his or her own, or to provide clear and complete acknowledgement of the use of work attributable to others. To these ends, the following actions are expected of students:

· Complete all work on exams without assistance.

· Follow the professor’s instructions when completing all class assignments.

· Ask for clarification when instructions are not clear.

· Report to the instructor any unauthorized information related to an exam.

· Provide proper credit when quoting or paraphrasing.

· Submit only one’s own work.

Students who do not accept responsibility for the integrity of their own work will experience sanctions, including a written reprimand, failure of the assignment, failure of the course, and/or dismissal from the program. For repeat and extreme offenses, the College reserves the right to suspend or expel students.

Writing Policy

The College recognizes that clear, correct, and concise use of language is characteristic of an educated person. Therefore, whenever possible, faculty members in all disciplines should require written assignments in their courses in order to encourage effective writing by their students. Also, instructors should consider the quality of writing in determining a grade for a written assignment. Poor writing can be a sufficient cause for a failing grade on a paper and, in extreme cases, a failing grade in a course.

Inclement Weather/Emergency Closing Policy

In the event that the college (or a specific campus) opens late due to weather-related or other emergency conditions, classes will commence at the announced opening time and resume the normal schedule thereafter for the remainder of the day. Faculty, students, and classified staff should report to wherever they would normally have been at the announced opening time. **

Students and faculty engaged in field placement programs (such as internships, clinical placements, etc.) should discuss the handling of emergency situations at the beginning of the placement period. Both the requirements of the program and the safety of persons involved should be considered in planning a course of action in those cases where students are expected to report to off-campus locations.

** For example, if you had a class that began at 9:35 and the college opened at 10:00 because of snow, you would report to your 9:35 class at 10:00.

When the college closes because of severe weather or emergency conditions, announcements of class cancellations are made on local radio and television stations and the college website (www.ccbcmd.edu). Closings and delays will also be recorded on the campus weather lines:

WEATHER CLOSINGS

Catonsville, Dundalk, Essex

443-840-1711

TUTORING SERVICES

Students are encouraged to seek help from their instructors whenever they encounter academic difficulty (either during scheduled office hours or by appointment). In addition, each campus offers free academic support services. For more information, contact:

Campus:	Office:	Room:	Phone:
Catonsville	Tutoring Services	F-200	443-840-4420
Dundalk	Tutoring Services	CAR-530	443-840-3572
Essex	Student Success Center	A-307	443-840-1820

CIVILITY AND COMMUNITY BUILDING EXPECTATIONS

(Compassion, Appreciation, Respect, Empowerment)

As members of the CCBC community of learners, we are expected to act with respect, honesty, responsibility and accountability. Each of us is expected to be aware of the impact our behavior has on the community. CCBC wishes to each learner to commit to the following actions:

• Become an active and engaged learner

• Celebrate the richness of our diversity

• Respect the campus and its code of conduct

• Practice empathy and compassion

• Promote the empowerment of others

MAJOR RELIGIOUS HOLIDAY POLICY

Students not attending class because they are observing major religious holidays shall be given the opportunity, to the maximum extent possible, to make up, within a reasonable amount of time, any academic work or tests they miss. Arrangements between the student and the faculty member(s) for the student to make up missed assignments or tests must be made in advance of the religious holiday, at the initiation of the student.

STUDENT E-MAIL ACCOUNTS

CCBC has joined the ranks of the very few community colleges in Maryland who provide email accounts to all credit students. Each student who is registered in credit classes now has an email account and up to 5 Mb of storage in their mail box. This account will not be deleted even if the student graduates or leaves CCBC for any reason.

For information about the system and how students can determine their email address, go the CCBC Home Page and click on “Student Email”. From here students can find their email address, get to an on-line user manual and access instructions on how to forward the CCBC email to the system of choice (AOL, Comcast, Hot Mail, etc.)