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: [email protected](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.
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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: [email protected] (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).
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.
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