CCBC   Essex                                                                                    School of Mathematics and Science

MATH  252  Calculus II                                                       Section:           WE1

 


CLASSROOM   LOCATION:                       WWW             SEMESTER:  Spring 2008

Instructor:          Lisa Brown                                    OFFICE LOCATION: F 401

instructOR  Phone:   410.780.6128                 Email:  Lbrown@ccbcmd.edu                    

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

Face to Face Office hours:  By appointment only. The best way to make an appointment is through email.  When making an appointment, send me several times that work for you to meet face to face.  If you need to cancel, please notify me by email at least 4 hours in advance. 

 

Online Chat Office Hours:  Monday 9:45 – 10:30 pm. and Thursday 12:45 – 1:30 pm. and by appointment.  (Please do not hesitate to make an appointment.)

 

Bob Brown’s Office Hours:  You may take advantage of Bob Brown’s office hours.  Times will be announced on the discussion board.

 

BOB BROWN’S OFFICE: F424                 BOB BROWN’S PHONE: 410.780.6620

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.

 

TEXT(S):   You have 3 options:

1.      Buy a new textbook (Calculus Early Transcendental Functions    by Larson   Edition 4 Houghton Mifflin publisher) from the CCBC bookstore.  This will be bundled with an Eduspace passkey. 

Or

2.      Buy the Eduspace passkey with Online Textbook at http://college.hmco.com/CollegeCatalog/CollegeStoreController?cmd=MainProdPage&subcmd=Ver&ProdId=0618926089

Eduspace Plus Student Passkey for Larson et al., Calculus: Early Transcendental Functions, 4/e
Ron Larson
ISBN-13: 9780618926084
ISBN-10: 0618926089
List Price: $ 66.76

Or

3.      If you have a used book you can purchase an Eduspace Essential Passkey at http://college.hmco.com/CollegeCatalog/CollegeStoreController?cmd=MainProdPage&subcmd=Ansi&ProdId=0618752870

Eduspace Essential Student Passkey
Mary Lou Conlin
ISBN-13: 9780618752874
ISBN-10: 0618752870
List Price: $ 25.56

 

Materials  

·         A graphing calculator, such as the TI-89, is highly recommended for this course.  Although the TI-89 “does” Calculus, you will be graded based upon showing all work and every step.  You may borrow a calculator from the Essex Library for free for the semester.

·         High speed internet access

 

REQUIREMENTS

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 several 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.

 

 

Special procedures

Complete these activities for each section of the text that is covered:

 

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

2.    Watch all videos for each section 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.)

5.    Complete Section Practice Quiz for each section at Eduspace.  (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 last day to take the exam for the chapter.

  1. Complete and turn in Graded Assignment for each Chapter.

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
    • 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 to be returned within one week.
    • 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.
    • Be sure to install anti-virus software on your local system and check all downloaded files before opening them.

 

 

 

CALENDAR

SPRING

Full  Semester

Classes BEGIN

January  28

Saturday  Classes BEGIN

February 2

50% refund ends

February 15

Mid-Term grades

March 17

Last day to withdraw with “W” or change to audit

April 16

SPRING RECESS -  NO CLASSES

March 21-28

Classes RESUME

March 29 - Saturday

Last day of Spring Semester Classes

May 10

FINAL EXAMS

May 11-17

Final Grades Enter via Web

May 20 - 10:00 a.m.

Memorial Day – College CLOSED

May 26

Last day to complete “I” Grade

October 10

 

 

 

 

 

 

 

 

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.

1/28-2/13

Applications of Integration

7.1 – 7.5

Wednesday, February 13

Assignment #1

Graded Assignment #1 due

2/13- 3/12

Integration Techniques, Improper Integrals

8.1 – 8.5, 8.7, 8.8

Wednesday, March 12

Assignment #2

Graded Assignment #2 due

Sat. 3/15, Mon. 3/17, Tues. 3/18, Wed. 3/19

EXAM 1

7.1 – 7.5, 8.1 – 8.5, 8.7, 8.8

3/17-4/16

Sequences, Infinite Series

9.1 – 9.10

Wednesday, April 16

Assignment #3

Graded Assignment #3 due

Sat. 4/19, Mon. 4/21, Tues. 4/22, Wed. 4/23

EXAM 2

9.1 – 9.10

4/21-5/6

Parametric Equations, Polar Coordinates, Introduction to Differential Equations

10.2 – 10.5, 6.1

Tuesday, May 6

Assignment #4

Graded Assignment #4 due

Friday May 9, Saturday May 10, Monday, May 12, Tuesday, May 13, or Wednesday, May 14

FINAL EXAM

Cumulative

Textbook Practice Problems

 

 

TeXTBOOK EXERCISES

Homework assignments are due the first class period after the corresponding section was covered in class. The assignments must be completed and brought to class each day. The text and graphing calculator should be brought to class each day, also. A lot of problems have been assigned. Ideally, you should attempt every problem. But feel free to talk to me about strategies that would maximize your homework and studying efforts given a limited amount of time.

 

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, 81

9.1     1  – 5, 11, 13, 15 – 20, 25  – 35 odd, 47 – 59 odd, 61, 62, 69  – 71, 73, 75 – 79 odd, 103 – 108

9.2     1, 3, 7  – 15 odd, 23- 27 odd, 28, 35, 36, 39 – 51 odd, 55  – 67 odd, 99, 112, 117  – 120

9.3     1, 3, 5, 6, 7, 10, 11, 17, 18, 19 – 35 odd, 36, 79  – 87 odd

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

9.5     11  – 27 odd, 47  – 61 odd, 67, 68

9.6     1, 2, 13  – 61 odd

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

9.8     1  – 29 odd, 45abd, 47abd

9.9     1  – 15 odd, 21, 53, 56

9.10     1  – 7, 15, 18, 20  – 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 , 3 , 5 , 11 , 13 , 15 , 27 – 33, 35 – 41

10.5     5 , 7 , 15 , 17 , 19 , 31 , 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 arclength 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 SPRING 2008 semester is APRIL 16.    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

410-455-4382

Dundalk

Office of Career and Life Planning

A-100

410-285-9774

Essex

Office of Special Services

A-210

410-780-6878

 

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.