Harrisburg Area Community College

SYLLABUS - MATH 221 – Calculus III – CRN 4147 – SUMMER I 2015

Virtual Learning

Instructor:

Professor Benner, Professor of Mathematics

223A Whitaker Hall, Harrisburg Campus

Office Phone: 717-780-1127 (24-hour phone mail )

Fax (math office Hbg Campus) : 717-780-1125

Email: Class email address: eMAIL link inside the course (Preferred means of contact)

Before class begins use: dlbenner@hacc.edu (include in the subject line: M221 – Your last name – reason

for the email)

Responses to Email and Phone Calls: I respond to emails and phone calls within two school days

Course: Math 221 Calculus III CRN 4147 – 4 Credit course

Prerequisite: MATH 122 Calculus II or equivalent

Office Hours:

Online: 7 PM – 8 PM Wednesdays and Thursdays and by appointment

On Campus: by appointment

Catalog Description

A continuation of MATH 122. Vectors and vector-valued functions; partial differentiation; multiple

integrals; space geometry; vector calculus.

Learning Outcomes

Upon successful completion of the course the student will be able to:

Apply vectors to find equations of lines and planes in space and vector-valued functions to solve motion of projectiles problems.

Sketch surfaces and level curves of functions of several variables.

Evaluate limits of functions of several variables and discuss the continuity.

Determine local extreme values and saddle points for functions of two variables and functions with constrained domains.

Evaluate multiple integrals in various coordinate systems.

Apply multiple integrals to solve applications in sciences and engineering.

Discuss the interpretation of a partial derivative as the contribution of each variable to the calculation of the derivative.

Use differentiation rules, explicit and implicit, to find and use partial derivatives in a variety of applications.

SYSTEM REQUIREMENTS (Minimum): This course will utilize both D2L (HACC’s course management system) and WebAssign. You may access D2L through MyHACC or directly at https://ehacc.hacc.edu and from there you will be able to access WebAssign. In the event that D2L is not available you may access WebAssign directly at www.webassign.net/login.html . Instructions for login to WebAssign can be found at the course website in D2L. You must have a reliable computer system with internet access as well as a backup plan in case your main system malfunctions. If you experience problems with your personal computer during the semester, you must have a backup plan in place. You can come to campus or use a friend’s computer to complete and submit homework. You must have a working computer available to you at all times during the semester. The new D2L version does not work well with Internet Explorer. Any other browser such as Chrome, Safari, or Firefox should work well. Important Information: This course is taught exclusively through the internet using Desire2Learn

(Brightspace) with a link to WebAssign. Students who register for this course will cover the same material

as students in traditional on-campus sections. The difference is that we will never meet regularly as a

group in a classroom. The discussions, class work and assignments will take place electronically using the

web. Chapter quizzes will be given on-line; however three comprehensive proctored exams will be given

on campus. If you are unable to come to one of our campuses, procedures for arranging an alternate

location and proctor are described below. Please read all the instructions listed under Course

Requirements. These instructions describe each of the various components of the course and how they

will be graded. In addition, a summary is given detailing how each component will be used to determine

the final grade.

Course Materials:

Text: Calculus (7th Ed) by Stewart, 2012, with WebAssign access. ISBN 1-1118-7356-9 If you purchase a new book through the HACC Bookstore, then the access code to the course will be packaged free with the text. However, if you purchase a used book or if you purchase the book elsewhere, you MUST purchase the access code online when you register for the course. The cost (subject to change) is approximately $125.00. This is in addition to the cost of the book. So unless you can save $125 on the cost of the book by buying a used one or buying it elsewhere, it is cheaper to buy a new one through HACC.

An alternative to buying the textbook: The ISBN for the access code for WebAssign alone is ISBN 1-2858-

5826-3 . WebAssign includes an electronic version of the textbook and all supplements. It is NOT required that you buy the textbook. It is cheaper to buy the access code directly from WebAssign than from HACC’s bookstore.

Texas Instruments Graphing Calculator (TI-83+ or 84+ suggested) You may NOT use any calculator with a computer algebra system (CAS).

Course Access: Through Desire2Learn at http://ehacc.hacc.edu , enter your Hawkmail prefix , and

password you use for HACCWeb, select MATH 221.

To access the WebAssign portion of the course (online homework and quizzes) for the first time, you will

need to enter the class key hacc 3506 6759 . WebAssign provides free access for two weeks after the start

of class. To continue using WebAssign after that enter your access code, or purchase access online.

As soon as you enter the course homepage, go to the START HERE panel. Read all items in that panel, and

specifically note the REQUIRED ORIENTATION ASSIGNMENT.

Grade Requirements:

1. Orientation

An orientation assignment will be posted in the START HERE panel of the course. This activity is designed

to acquaint you with the various components of the course. It is REQUIRED and must be completed first.

Upon completion of this assignment, you will receive a password which will grant you access to the first

quiz.

2. Discussion Board

Throughout the course, discussion topics will be listed on the Discussion Board. In addition, you may start

your own anytime you wish. Participation in these discussions is required. A Discussion Board grade

from 0 to 45 (55 points for Unit 3) points will be assigned after the completion of each of the three units

for a total of 145 points, of which 130 points is required. To earn the full 45/55 points for each unit, you

must submit 9 quality posts (11 for Unit 3). A quality post is defined as the complete, correct solution,

including an explanation of the steps, to a problem. Be sure to restate the problem and then show the

solution. You may select any even-numbered textbook problem for the assigned sections. Each post,

though, must be from different sections of the text. Due dates for the posts are listed on the daily outline

and on the Discussion Board itself. While courtesy is encouraged, posts of thank you etc. are not quality

posts. In addition, a high level of Netiquette is assumed.

3. Examinations

Seven quizzes, two regular proctored examinations, and one proctored comprehensive final examination

will be given. Each quiz is given online and is worth 50 points, while all exams are paper and pencil exams

given in a proctored setting. The two regular exams are 300 points each and the final exam is 500 points.

The dates for the quizzes and exams, as well as the chapters/sections to be covered, are posted on the

Daily Outline. Students must take all quizzes and exams.

If you are unable to come to one of our campuses for the proctored exams because you do not live in the

Central PA area, then read carefully the instructions for arranging for a proctor and alternate location. The

proctor forms must be completed and submitted to me by May 31st so that arrangements can be made to

send materials to proctors in a timely fashion. This is the only on-campus component of the course.

4. Make-Up Exams

There are seven quizzes at 50 points each, for a total of 350 points, of which 300 is required. Any points

earned about 300 will count as bonus points. Therefore, there will be no make up for missed online

quizzes. If you miss a proctored exam, you must contact me immediately. Make-up exams are granted at

my discretion. Failure to take any proctored exam may result in your immediate withdrawal from the class

with an F.

5. Homework Assignments

You are expected to complete all the odd-numbered problems in each section; however, do NOT submit

these solutions to me. They are to prepare you for the required Homework Assignments and chapter

quizzes. A list of the required Homework Assignments will be posted in the course. There are ten online

in WebAssign assignments at 20 points each, for a total of 200 points of which 190 points is required. Any

points earned above 190 will count as bonus points. Therefore, there will be no make up for missed online

homework assignments. In addition, there are three written assignments to be submitted via the

Dropbox in D2L. These are 30 points each, for a total of 90 points (of which 60 is required because the

15.10 assignment is optional). Assignments submitted late will lose 10% of their value for each day late.

The due dates for the completion of each homework assignment are posted on the daily outline on the

course website.

Summary

Online quizzes (7 @ 50 pts) 350 points (300 required)

Homework Assignments ( 10 @ 20 pts + 3 @ 30 pts)

290 points (250 required)

Discussion Board (2 @ 45, 1 @ 55 pts) 145 points (130 required)

Regular proctored Exams (2 @ 300 pts) 600 points

Proctored Final Exam 500 points

Total points 1885 points (1780 required)

Grading Scale:

1602-1885 points = A 1424-1601 = B 1246-1423 = C

1068- 1245 points = D 0 – 1067 points = F

IMPORTANT INFORMATION

This course requires some individual work, but it also requires a significant amount of interaction with

me and your classmates. You should plan to spend several hours per day ( a minimum of 15 hours per

week) working on the assignments because it is important that you stay current with the lessons as

outlined on the daily outline. Office hours are easily scheduled, just send me a few dates and times that

will work for you, and we’ll meet in the Online Classroom (link on course homepage in D2L). In addition, I

usually log in several times a day to check email and bulletin board posts.

COURSE REQUIREMENTS

To successfully complete this course, the student is required to:

1. Read all lessons

2. Complete all homework assignments

3. Participate in the Discussion Board

4. Take all examinations – both online quizzes and proctored exams

**************The course begins Tuesday, May 26th ***************************

REVIEW SESSIONS AND STUDY PLAN

WebAssign contains a Personal Study Plan, which is a set of chapter quizzes, practice quizzes, and

instructional materials that you can use to learn, practice, and test your knowledge.

WebAssign contains YouBook, a Flash-based eBook that is interactive. Additional media assets include:

animated figures, video clips, highlighting, notes, and more.

PODCASTS PRODUCED BY HACC FACULTY: In addition to the videos included in WebAssign, you can access all prerecorded video/audio files and lecture notes produced by HACC faculty by going to : http://iTunesU.hacc.edu and click Public. Be sure to wait for an itunes folder appearing on your desktop.

Click on Calculus III. You can download all video and audio files free. Save and organize them in your computer. Follow the instructions on the screen for download.

TUTORING Free tutoring is available at each campus. For locations and hours of operation go to

http://www.hacc.edu/Students/Tutoring/index.cfm

SMARTHINKING

HACC subscribes to an online tutorial service, Smarthinking.com, which is available “24/7” at no cost to

HACC students (for information, go to http://www.hacc.edu/Students/Tutoring/Online-Tutoring-

SMARTHINKING.cfm )

Comments:

Perhaps more than any subject, the successful learning of mathematics depends upon previously acquired

knowledge and skills. Because of this, active participation in daily activities such as asking questions online

via the Discussion Board, reading the text, and working the assigned problems on time is essential. This

does not guarantee good grades, but it certainly improves your chances of obtaining them.

I expect the highest level of academic honesty from all of my students. Students who copy the work of

others or who submit the work of others as their own will be dropped immediately from the course and

assigned a grade of F. All instances of academic dishonesty will be reported to the Chief Academic Officer

for further review.

If you are having difficulties, please contact me immediately for help. The services of the Learning Center

are also available. Information provided above under Tutoring .

If you need to withdraw, you have to fill out the appropriate form (Drop/Add Withdraw) which also

requires my signature. In order to withdraw from this class after the middle of the semester, you must

have a least a 60% average to receive a grade of W.

Failure to log onto the course and complete the required Orientation Assignment by June 1st will result in

withdrawal from the course for non-participation. In addition, any student who fails to complete any

proctored exam will be dropped from the course. According to guidance from the Federal Department of

Education, we must demonstrate that an online student participated in class or was otherwise engaged in

an academically related activity for attendance purposes. Logging into an online class without active

participation does not meet their definition of attendance. Thus, students are expected to log into the

class regularly. In addition, students are expected to participate in the class by working on homework and

discussion board assignments each week. Failure to complete any three consecutive graded works

(includes ALL graded items) will result in your being dropped from the course.

“I” Grade Policy”: The “I” (incomplete) grade shows that coursework is incomplete and must be

completed within eight weeks into the ensuing Fall or Spring term. An incomplete grade is computed as an

“F” in your GPA when not completed within the allotted time. To be considered for an “I” grade in my

class, you must have displayed consistent “attendance” and a sincere effort to complete your work during

the semester. Only the final exam may be incomplete. All requests will be considered on a case-by-case

basis.

REFUND DATES: See http://www.hacc.edu/NewStudents/RegisterOnlineGuide/Add-Drop-Deadlines.cfm

STUDENTS IN NEED OF ACCOMMODATIONS:

Students with disabilities who are in need of accommodations should contact the campus disability

coordinator listed below. Coordinators for each campus are listed here:

http://www.hacc.edu/Students/DisabilityServices/Contact-Disability-Services.cfm

EEOC POLICY 005:

It is the policy of Harrisburg Area Community College, in full accordance with the law, not to discriminate in

employment, student admissions, and student services on the basis of race, color, religion, age, political affiliation or

belief, gender, national origin, ancestry, disability, place of birth, General Education Development Certification

(GED), marital status, sexual orientation, gender identity or expression, veteran status, genetic history/information, or

any legally protected classification. HACC recognizes its responsibility to promote the principles of equal opportunity

for employment, student admissions, and student services taking active steps to recruit minorities and women.

The Pennsylvania Human Relations Act (“PHRAct’) prohibits discrimination against prospective and current students

because of race, color, sex, religious creed, ancestry, national origin, handicap or disability, record of a handicap or

disability, perceived handicap or disability, relationship or association with an individual with a handicap or disability,

use of a guide or support animal, and/or handling or training of support or guide animals.

The Pennsylvania Fair Educational Opportunities Act (“PFEOAct”) prohibits discrimination against prospective and

current students because of race, religion, color, ancestry, national origin, sex, handicap or disability, record of a

handicap or disability, perceived handicap or disability, and a relationship or association with an individual with a

handicap or disability.

Information about these laws may be obtained by visiting the Pennsylvania Human Relations Commission website at

www.phrc.state.pa.us.

HACC—Lebanon Campus and Virtual Learning

Deborah Bybee

Coordinator, Disability Services

104R

735 Cumberland Street

Lebanon, PA 17042

Phone: 717-270-6333

Email: dabybee@hacc.edu

Reading/Lecture Topic

Day/Date

Online and Written

Homework Assignments

Discussion Board Posts

Quizzes Exams

WEE

K 1

12.1 Three-Dimensional Coordinate Systems 12.2 Vectors 12.3 The Dot Product

Monday 25-May-15

Tuesday 26-May-15

Wednesday 27-May-15

Thursday 28-May-15

Friday * 29-May-15

Saturday 30-May-15

DB #1 Sections 12.1 - 12.3

WEE

K 2

12.4 The Cross Product 12.5 Equations of Lines and Planes 12.6 Cylinders and Quadric Surfaces

Sunday 31-May-15

Orientation Assignment Due

Monday 1-Jun-15

HW #1 Sections 12.1 - 12.3

Tuesday 2-Jun-15

Wednesday 3-Jun-15

Thursday 4-Jun-15

Quiz #1 Sections 12.1 - 12.4

Friday 5-Jun-15

Quiz #1 Sections 12.1 - 12.4

Saturday 6-Jun-15

DB #2 Sections 12.4 - 12.6

WEE

K 3

13.1 Vector Functions and Space Curves 13.2 Derivatives and Integrals of Vector Functions 13.3 Arc Length and Curvature 13.4 Motion in Space: Velocity and Acceleration

Sunday 7-Jun-15

Monday 8-Jun-15

HW #2 Sections 12.4 - 12.6

Tuesday 9-Jun-15

Quiz #2 Sections 12.5 - 12.6

Wednesday 10-Jun-15

Quiz #2 Sections 12.5 - 12.6

Thursday 11-Jun-15

Friday 12-Jun-15

Saturday 13-Jun-15

DB #3 Sections 13.1 - 13.3

WEE

K 4

13.4 Motion in Space: Velocity and Acceleration 14.1 Functions of Several Variables 14.2 Limits and Continuity 14.3 Partial Derivatives

Sunday 14-Jun-15

Monday 15-Jun-15 HW #3 Sections 13.1 - 13.3

Proctored Exam 1

Chapter 12 & 13.1 -

13.3

Tuesday 16-Jun-15

Proctored Exam 1

Chapter 12 & 13.1 -

13.3

Wednesday 17-Jun-15

13.4 written assignment (WA#1)

Thursday 18-Jun-15

Friday 19-Jun-15

Saturday 20-Jun-15

DB #4 Sections 14.1 - 14.3

WEE

K 5

14.4 Tangent Planes and Linear Approximations 14.5 The Chain Rule 14.6 Directional Derivatives and the Gradient Vector

Sunday 21-Jun-15

Monday 22-Jun-15

HW #4 Sections 14.1 - 14.3

Tuesday 23-Jun-15

Quiz #3 Sections 14.1 - 14.3

Wednesday 24-Jun-15

Quiz #3 Sections 14.1 - 14.3

Thursday 25-Jun-15

Friday 26-Jun-15

Saturday 27-Jun-15

DB #5 Sections 14.4 - 14.6

WEE

K 6

14.7 Maximum and Minimum Values 14.8 Lagrange Multipliers

Sunday 28-Jun-15

Monday 29-Jun-15

Tuesday 30-Jun-15

Wednesday 1-Jul-15

Thursday 2-Jul-15

HW #5 Sections 14.4 - 14.7

Quiz #4 Sections 14.4 - 14.7

Friday 3-Jul-15

Quiz #4 Sections 14.4 - 14.7

Independence Day Holiday Saturday 4-Jul-15

WEE

K 7

15.1 Double Integrals over Rectangles 15.2 Iterated Integrals 15.3 Double Integrals over General Regions

Sunday 5-Jul-15

Monday 6-Jul-15

14.8 written assignment (WA #2)

Tuesday 7-Jul-15

Wednesday 8-Jul-15

Thursday 9-Jul-15

Friday 10-Jul-15

Saturday 11-Jul-15

DB #6 Sections 15.1 - 15.3

WEE

K 8

15.4 Double Integrals in Polar Coordinates 15.5 Applications of Double Integrals 15.6 Surface Area

Sunday 12-Jul-15

Monday 13-Jul-15

HW #6 Sections 15.1 - 15.2

Proctored Exam 2

Chapter 14 & 15.1 -

15.2

Tuesday 14-Jul-15

Proctored Exam 2

Chapter 14 & 15.1 -

15.2

Wednesday 15-Jul-15

Thursday 16-Jul-15

Friday 17-Jul-15

Saturday 18-Jul-15

DB #7 Sections 15.4 - 15.6

WEE

K 9

15.7 Triple Integrals 15.8 Triple Integrals in Cylindrical Coordinates 15.9 Triple Integrals in Spherical Coordinates 15.10 (optional) Change of Variables in Multiple Integrals

Sunday 19-Jul-15

Monday 20-Jul-15

HW #7 Sections 15.3 - 15.6

Tuesday 21-Jul-15

Quiz #5 Sections 15.3 - 15.6

Wednesday 22-Jul-15

Quiz #5 Sections 15.3 - 15.6

Thursday 23-Jul-15

Friday 24-Jul-15

Saturday 25-Jul-15

DB #8 Sections 15.7 - 15.9

WEE

K 1

0

16.1 Vector Fields 16.2 Line Integrals 16.3 The Fundamental Theorem for Line Integrals

Sunday 26-Jul-15

Monday 27-Jul-15

HW #8 Sections 15.7 - 15.9

Tuesday 28-Jul-15

Optional 15.10 written homework (WA #3)

Quiz #6 Sections 15.7 - 15.9

Wednesday 29-Jul-15

Quiz #6 Sections 15.7 - 15.9

Thursday 30-Jul-15

Friday 31-Jul-15

Saturday 1-Aug-15

DB #9 Sections 16.1 - 16.3

WEE

K 1

1

16.4 Green’s Theorem 16.5 Curl and Divergence

Sunday 2-Aug-15

Monday 3-Aug-15

HW #9 Sections 16.1 - 16.3

Tuesday 4-Aug-15

Quiz #7 Sections 16.1 - 16.3

Wednesday 5-Aug-15

Quiz #7 Sections 16.1 - 16.3

Thursday 6-Aug-15

Friday 7-Aug-15

Saturday 8-Aug-15

DB #10 Sections 16.4 - 16.5

WEE

K 1

2

Sunday 9-Aug-15

Monday 10-Aug-15

HW #10 Sections 16.4 - 16.5

Exam 3 (Final) 15.3 - 15.9, 16.1 -

16.5 and cumulative

Tuesday 11-Aug-15

Exam 3 (Final) 15.3 - 15.9, 16.1 -

16.5 and cumulative

* Summer HACC schedule: Monday - Thursday, limited services on Fridays