CCBC Essex School of Mathematics and Science

MATH 251 Calculus I Section: Math 251 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 8:30 – 9:30 pm

Course Pre-requisites: MATH 165 or equivalent satisfactory score on the placement test.

COURSE DESCRIPTION

Topics include functions (including: logarithmic, exponential, inverse, inverse trigonometric, and hyperbolic), limits, continuity, derivatives, derivative algorithms, linear approximations, optimization and other applications, area under a curve, definite integrals, the Fundamental Theorem of Calculus, Mean Value Theorem, Rolle’s Theorem, Intermediate Value Theorem.

REQUIREMENTS and Tentative list of dated assignments

Assignment	Points	Due Date
Chapter 2 Graded Assignment 1	25	Wednesday, September 16
Chapter 2 Exam 1	100	Saturday, September 19, Monday, September 21, Tuesday, September 22, Wednesday, September 23
Chapter 3 Graded Assignment 2	25	Wednesday, October 7
Chapter 3 Exam 2	100	Saturday, October 10, Monday, October 12, Tuesday, October 13, Wednesday, October 14
Chapter 4 Graded Assignment 3	25	Wednesday, November 4
Chapter 4 Exam 3	100	Saturday, November 7, Monday, November 9, Tuesday, November 10, Wednesday, November 11
Chapter 5 Graded Assignment 4	25	Friday, November 20
Chapter 5 Exam 4	100	Saturday, November 21, Monday, November 23, Tuesday, November 24, Monday, November 30, or Tuesday, December 1
Final	250	Saturday, December 5, Monday, December 7, Tuesday, December 8, or Wednesday, December 9

Grading policy

Final Points	675 – 750	600 – 674	525 – 599	450 – 524	0 - 449
Letter Grade	A	B	C	D	F

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.

Materials

· TI 83 or 84 graphing calculator (You can borrow one for the semester from the Essex Library.) You are welcome to use a different Graphing Calculator such at TI 95, or 96 but I will only be able to give instructions and directions for the TI 83 or 84. You will not be allowed to use the TI 89 or 92 Graphing Calculator or any other Graphing Calculator that has an algebra chip.

· 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.)

TEXT(S):

Calculus Early Transcendental Functions by Larson Edition 4, Houghton Mifflin publisher

ISBN-10: 0618606246

ISBN-13: 9780618606245

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 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. Please make your appointment 4 to 5 business days in advance if you are using Essex or Catonsville testing centers. Making appointments by emailing the testing center is preferred.

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.

Math 251 Homework List

Chapter	Problems
Review
1.1	1-73 odd
1.2	1-63 odd
1.3	3-17 odd, 29-37 odd, 41, 43, 55, 56, 59, 61-64
1.4	1-5
1.5	1-12 odd, 17-21 odd, 29-41 odd, 53-65 odd, 89-95 odd
1.6	1-33 odd 41-69 odd
Course starts here
2.1	1-11
2.2	1-18, 65-68
2.3	1-29 eoo, 33-41 odd, 44, 45-63 odd, 69-81 odd 89, 91, 111, 127
2.4	1-17 odd, 29-32, 37-51 odd, 67, 68, 83-97 odd, 112
2.5	1-8, 9-17 odd, 29-53 eoo, 59-63, 67, 73-77
3.1	1-25 odd, 30, 31, 33, 37-40, 47, 48, 57, 58, 71, 81-85, 91, 93
3.2	1-63 odd, 81-93, 95, 97-100, 109, 110
3.3	1-11 odd, 13-57 eoo, 67-72 odd, 77, 79, 84, 91, 97-107 odd, 108-114
3.4	1-33 eoo, 55-91 eoo, 101-111 odd, 115, 117, 160, 166
3.5	1-17 eoo, 23-35 odd, 51, 55, 59-67 odd, 71, 81
3.6	1-9 odd, 19-25 odd, 51
3.7	1-15 odd, 18, 20, 21, 27, 31-35 odd, 48
8.7	1-33 eoo, 75
4.1	3-12, 13-35 odd, 41, 61-65, 75
4.2	1, 2, 5. 7, 11-21 odd, 22, 27, 29, 35, 39, 79, 80, 83
4.3	3, 9-39 eoo,73-80, 86
4.4	1-21 odd, 29-45 odd, 59-62, 65-68, 73, 75, 76
4.5	3-57 eoo, 59-62, 63-79 eoo, 99, 102
4.6	1-7, 11, 15, 25, 31, 65-67, 69-76
4.7	1-9 odd, 11-13, 15, 19, 23-27, 29, 31
4.8	1-5 odd, 6, 11, 13, 17, 23
5.1	1-41 odd, 49-52, 57, 63-67 odd, 68-70, 75, 77-80
5.2	1-6, 7-13 odd, 23-28, 31-42 odd, 47, 49, 57
5.3	15-29, 31-39, 41, 47, 49
5.4	1-37 odd, 39, 44, 50, 57-62, 65-72, 76, 79, 80, 87, 90, 95-105 odd
5.5	1-6, 7-35 eoo, 49-77 eoo, 79, 85-89 odd, 95-103 odd, 135, 136
5.7	1-19 odd, 29, 49-55 odd, 73, 75
7.1	1-7, 17, 21, 25, 44, 48, 88

eoo = Every other odd problem.

Review problems will be assigned prior to each test.

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

Course Objectives

Upon successfully completing the course students will be able to:

1. Evaluate limits of functions (I, IV, VI, 1,5)

2. Determine continuity and differentiability (I, III, 1,2,3,7)

3. Sketch the graph of the derivative function given the graph of the original function (IV, 1, 3)

4. Determine the derivative of a function from its definition (VI, IV, 1, 3, 7)

5. Determine the derivative of a function by rules (II, 1,6)

6. Sketch a function, using appropriate information (increasing/decreasing functions,

concavity, max/min points, points of inflection) (IV, II, 1,3)

7. Determine optimal values (extrema) (IV, V, 1, 3)

8. Apply the following theorems: Mean Value Theorem, Rolle’s Theorem, and

Intermediate Value Theorem (V, 1, 2, 4)

9. Determine the area under a curve using Riemann sums (IV, 1, 2, 3)

10. Evaluate definite integrals using the Fundamental Theorem of Calculus and change of variables (IV, 1, 2, 4)

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. Determine antiderivatives algebraically, graphically, and numerically (II, IV, 1, 2, 5)

15. Apply the Second Fundamental Theorem of Calculus (I, V, 1, 4)

Major Topics

I. Precalculus review

A. Functions (definition, domain and range)

B. New Functions from old (transformations, composition)

C. Trigonometric functions

II. Limits and continuity

A. The idea of a limit: e & d, intuitive, numerical, graphical and algebraic

B. Limits for trigonometric functions.

C. Techniques for computing limits (indeterminate forms 0/0, ¥ /¥, ¥-¥)

D. Definition of continuity

E. Intermediate Value Theorem

III. Introduction to the Derivative

A. Tangent line and Rate of Change

B. Definition of the derivative at a point and the derivative function

C. Differentiability

D. Second derivative as concavity and higher order derivatives

E. Rolle’s Theorem and Mean Value Theorem

IV. Rules of Differentiation

A. Derivative rules (constant, scalar multiple, sum, product and quotient)

B. Derivative of polynomial, trigonometric and other special functions

C. The Chain Rule

D. Implicit differentiation

V. Using the Derivative

A. Linear approximation and differentials

B. Critical points, extrema and inflection points

C. First and Second Derivative Tests

D. Curve sketching

E. Motion on a straight line (position, velocity and acceleration functions)

F. Optimization problems

G. Related rates

VI. Indefinite Integral

A. Antiderivatives and how to compute them algebraically, graphically, and numerically

B. Definition of the Indefinite Integral

C. Integral of basic functions

D. Solving Indefinite Integrals by a Change in Variables

VII. Definite Integral

A. Intuitive notion of a definite integral as area under a curve

B. Definition of the definite integral as a Riemann sums

C. Computation of Riemann sums (lower, upper, right, left and midpoint)

D. Estimating the area under a curve using Riemann sums.

E. Evaluate definite integrals using the Fundamental Theorem of Calculus

F. Area between two curves

G. Total distance traveled

VIII. Inverse Functions, Logarithmic, Exponential and other functions

A. The natural logarithmic function

B. Inverse functions

C. The exponential function

D. Inverse trigonometric functions

E. Hyperbolic functions

Rationale

Calculus I is a first course in Calculus sequence. Fundamental concepts of differential calculus are studied in this course. Limits, continuity, derivatives, antiderivatives, extreme problems, area and other applications will be covered in this course. The emphasis in this course will be on problem solving, project developing, and applications. This is one of general education 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.)