Math 2551: Multivariable Calculus

Sections F1-F4 and K1-K4

Course Information (Fall 2019)

Time: F1-F4, TuTh, 12:00-13:15; K1-K4, TuTh, 13:30-14:45.  
Place: F1-F4, Howey (Physics) L1; K1-K4, Howey (Physics) L3.
Instructor: Prof. Yingjie Liu
Office: Skiles 134
Phone: (404)894-2381
E-mail: yingjie@math.gatech.edu
Office Hours: TuTh, 14:45-15:45, Skiles 134.
Teaching Assistant:
F1, F3: Zhibo Dai (zdai37@gatech.edu)
F2, F4: Yian Yao (yyao93@gatech.edu)
K1, K3: Tianyi Zhang (kafuka@gatech.edu)
K2, K4: Hamed Mousavi (hmousavi6@gatech.edu)



TEXTBOOK:  Thomas' Calculus, early transcendentals
,
by Thomas, Hass, Heil and Weir (14th Edition); Pearson, 2018. You are required to  have access code for

Textbook/Homework Access: http://www.mymathlab.com


Here is a more  detailed information on textbook (Please read it carefully)

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MyMathLab Course Information: We will be utilizing MyMathLab (MML) for homework through a joint code for the Thomas Calculus text and the Lay Linear Algebra text. In order to register, you will need our course id posted here and on Canvas to enroll into the course on MML for your section. Here is the course ID information:

MyMathLab Course ID: ( NOTE: Each section has its own course ID #.)

Section F1: liu69599

Section F2: liu74676

Section F3: liu49304

Section F4: liu85386

Section K1: liu20636

Section K2: liu28394

Section K3: liu22482

Section K4: liu75655

Important notes on MML:

·       If you already have an account on MyMathLab using this combined textbook within the past 18 months, then you do not need to purchase a new code. Login to your account on MyMathLab, select the option to add a new course, and enter our course ID.

·       If you already have a MyMathLab account that used either the Thomas or the Lay texbook in the past 18 months, but you were unable to add our course using the previous step, please send an email to Lyndsee.Hewston@Pearson.com and include the following information:

1.     Your First and Last Name

2.     The email address used to register for MML

3.     Your Login ID for MML

4.     Our course ID (listed above)

You should receive a reply within 36 business hours from the Pearson support team regarding your account status. In the meantime, you can access our course using the “temporary access” option when registering. Please do not pay for a new code until you receive a reply from Pearson.

·       If you do not have a MyMathLab account using the Thomas or Lay textbooks, or if your account is over 18 months old, you will need to purchase a new code for our course.

When signing up for MyMathLab, it will be immensely helpful to me (for grading purposes) if you set your STUDENT ID to your USERID for the GT system (i.e., your Canvas USERID, as in “gburdell3”, etc).

MyMathLab comes with an entire electronic version of the textbook; it is your choice if you would also like to own the textbook in print. You may purchase a MyMathLab code either from the bookstore or on-line while registering at http://www.mymathlab.com. If you prefer to own a hardcopy of the text, the bookstore offers packages of MyMathLab combined with a loose-leaf or hardcover version of the Thomas textbook that is less expensive than purchasing the text and code separately.

PLEASE NOTE: GEORGIA TECH HAS A SPECIAL CODE PACKAGE THAT INCLUDES BOTH TEXTBOOKS.

THIS CODE CAN ONLY BE PURCHASED THROUGH THE CAMPUS BOOKSTORES OR DIRECTLY FROM PEARSON.

CODES PURCHASED BY OTHER VENDORS WILL NOT WORK!

Possible ISBNs for this text are: 13:978-0-13-443902-0 or 10: 0-13-443902-3.


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Pre-Requisites: MATH 1502 OR MATH 1512 OR MATH 1555 OR MATH 1504 ((MATH 1552 OR MATH 15X2 OR MATH 1X52) AND (MATH 1522 OR MATH 1553 OR MATH 1554 OR MATH 1564 OR MATH 1X53))
Course Information: Math 2551 - Multivariable Calculus
Topics include: Vectors and the Geometry of space, vector calculus, parametric curves and motion. Functions of several variables, visualization and partial differentiation, gradients, optimization, Lagrange multipliers, linear approximation, tangent planes, differentials. Double and triple integrals, applications. Vector analysis including the theorems of Green, Gauss, and Stokes.
Course webpage:
people.math.gatech.edu/~yingjie/MATH2551/2551.html
Studio: MW: 11:15-12:05,  F1(Skiles 246), F2 (Skiles 170);
MW: 12:20-13:10,  F3(Skiles 246), F4 (Skiles 170);
MW: 16:30-17:20,  K1(Skiles 156), K2 (Skiles 246);
MW: 18:00-18:50,  K3(Skiles 156), K4 (Skiles 246).
 
Homework: There will be online Homework through MyMathLab. Homework on MyMathLab will be due at 11:59 pm EST on Mondays.
It is strongly recommended to work out every problem in the corresponding homework assignments
before each quiz, since quiz problems are very similar to homework problems.

Quizes & Tests:
There will be short quizzes every other week in your studio, 2 tests (also in studio rooms) and one final exam (in the classroom). There could be a 5-minute excercise in a class which has bonus points. The answer key for each in-class excercise will be provided on the course webpage shortly after.
Grading: Your course grade will be the highest of the following two numbers, plus possible bonus points.
(1)Your best 4 quizzes count for 22 points;  
on-line homework counts for 8 points; your two tests count for 40 points (20 points each); the final exam counts for 30 points.
(2) Your best 4 quizzes count for 22 points;   on-line homework counts for 8 points; your lower test counts for 15 points and your higher test counts for 20 points; the final exam counts for 35 points.
Your best 13 in-class exercises count for 2 bonus points which will be added to your subtotal grade until reaching 100 points.

If no curve is applied, your final grade will be assigned as a letter grade according to the following scale:

A: 90-100 points

B: 80-89 points

C: 70-79 points

D: 60-69 points

F: 0-59 points


Curves: In the rare case that they are needed, curves will be determined by the median of a section after the final exam according to the end-of-semester grade distribution, and we will only apply curves on the overall course grades within the section, not for any individual.  
Tentative Exam Schedule: Wed, 9/25, test 1; Wed, 10/30, test 2; Thu, 12/12, 11:20‐14:10, final exam for sections F1-F4; Thu, 12/12, 14:40‐17:30, final exam for sections K1-K4.
Tentative Quiz Schedule: Quiz 1 08/28 (Wed); Quiz 2 09/11 (Wed); Quiz 3 10/09 (Wed); Quiz 4 10/23 (Wed); Quiz 5 11/13 (Wed); Quiz 6 11/20 (Wed).
Tentative Course Schedule: 08/19-08/25, 12.2-12.5; 08/26-09/01, 12.6, 13.1, 13.2; 09/02-09/08, 13.3-13.5; 09/09-09/15, 14.1-14.3; 09/16-09/22, 14.4-14.6; 09/23-09/29, 14.7, Test 1; 09/30-10/06, 14.8, 14.9; 10/07-10/13, 15.1-15.4; 10/14-10/20, 15.5, 15.6; 10/21-10/27, 15.7, 15.8; 10/28-11/03, 16.1, Test 2; 11/04-11/10, 16.2, 16.3; 11/11-11/17, 16.4, 16.5; 11/18-11-24, 16.6, 16.7; 11/25-12/01, 16.8; 12/02-12/03, Last Class (Review).
Additional Practice Problems (no need to turn in unless assigned in MML): Sec 12.1, 1,19,29, 37, 41, 49,51,55; Sec 12.1, 5, 11, 23, 25, 33; Sec 12.3, 5,9,23,41; Sec 12.4, 1, 21,27,28,29; Sec12.5, 25,29,33,39,47,53,57; Sec 12.6, 3,9,11,30,32,40. Sec 13.1, 1,24; Sec 13.2, 3, 11, 15, 23, 36, 38; Sec 13.3, 1, 18. Sec 13.4, 5,7,9; Sec 13.5, 1,11,19; Sec13.6, 1,5. Sec 14.1, 5,11,13,29,31,33,34,41,67; Sec 14.2, 13,19,21,29,31,47,49,51,55,57,61,64,75; Sec 14.3, 5,17,27,29,39,49,53,55,62,67,71,89,91. Sec 14.4, 1,7,11,13,15,27,31,36,46,51; Sec 14.5, 3,7,13,27,38; Sec 14.6, 5,17,29,31,43,47,52,57. Sec 14.7,1,21,41,43,67; Sec 14.8,21,27,43,48; Sec 14.9,4. Sec 15.1,1,15,21,33,36; Sec 15.2, 17,23,27,31,35,51,53,59,71,73,84, Sec 15.3, 5,17,25, Sec 15.4, 1,20,29,35,45. Sec 15.5, 3,7,13,21,25,29,39,41,42,47, Sec 15.6, 11,23,31,35, Sec 15.7, 1,9,13,17,21,29,41,45,56,65,77,79,82. Sec 15.8, 9,11,22, Sec 16.1, 1,7,15,25,31,36,39, Sec 16.2, 4,15,19,23,33,37,45. Sec 16.3, 1,5,11,21,27,33, Sec 16.4, 7,19,21,27. Sec 16.5, 3,7,27,32, Sec 16.6, 1,27,39, Sec16.7, 7,21, Sec 16.8, 18.

Learning Outcomes: The primary goal of Math 2551 is prepare students to succeed in upper level courses that require this course as a pre-requisite. Upon successful completion of the course, students will be able to: understand and demonstrate the basic theory of calculus of function in several real variables; evaluate partial derivatives and multiple integrals; compute line integrals and surface integrals; apply the knowledge to solve some practical problems, such as constrained optimization problems and other problems involving differentiation and integration of multivariable and vector-valued functions.
Course Expectations & Guidelines: (1)Attendance. In the event of an absence, you are responsible for all missed materials, assignments, and any additional announcements or schedule changes given in class. Class disruptions of ANY kind will NOT be tolerated and may result in your removal from the classroom. Please show courtesy to your fellow classmates and instructor by adhering to the following class rules. Come to class on time and stay for the entire class period. Refrain from conversing with your fellow students while the instructor is lecturing. Put away any reading materials unrelated to the course. Please refrain from using laptops, they are a distraction to others. Please do not bring food to eat during lectures, eating is a distraction to others.
(2) Academic Dishonesty. Georgia Tech aims to cultivate a community based on trust, academic integrity, and honor. Students are expected to act according to the highest ethical standards. For information on Georgia Tech's Academic Honor Code, please visit http://www.catalog.gatech.edu/policies/honor-code/ or http://www.catalog.gatech.edu/rules/18/. Any student suspected of cheating or plagiarizing on a quiz, exam, or assignment will be reported to the Office of Student Integrity, who will investigate the incident and identify the appropriate penalty for violations.
(3) Students with Disabilities and/or in need of Special Accommodations. If you are a student with learning needs that require special accommodation, contact the Office of Disability Services at (404)894-2563 or http://disabilityservices.gatech.edu/, as soon as possible, to make an appointment to discuss your special needs and to obtain an accommodations letter. Please also e-mail me as soon as possible in order to set up a time to discuss your learning needs.
(4) Exam Procedure. In each exam (quizzes, tests, and the final exam), all notes, books, calculators, computers, electronic devices etc. are not allowed.
(5) Re-Scheduled/Missed Exams. NO MAKE-UP EXAMS! In general, no make-up exams will be given and any missed exam results in a "0" score. If you have a valid reason to request a make-up exam, please contact the instructor as early as possible. Only extraordinary cases will be considered. In the case of SERIOUS illness, please contact me BEFORE the exam and get a doctors note. In the case of emergency, please contact the Office of Dean of Students immediately. Requests for student organization excused absences must be made no later than two weeks prior to the date of the event. No late requests will be honored. Please have your advisor send me a written notice or an e-mail.
(6) Regrading Requests. Any regrading request should be submitted with the graded exam in the original unaltered form, within one week of the date the exam has been returned to the class. Please do not write ANYTHING on the original graded exam.
(7) Student-Faculty Expectations Agreement. At Georgia Tech we believe that it is important to strive for an atmosphere of mutual respect, acknowledgment, and responsibility between faculty members and the student body. See http://www.catalog.gatech.edu/rules/22/ for an articulation of some basic expectation that you can have of me and that I have of you. In the end, simple respect for knowledge, hard work, and cordial interactions will help build the environment we seek. Therefore, I encourage you to remain committed to the ideals of Georgia Tech while in this class.
Campus Resources for Students: (1) Academic Support.
Center for Academic Success http://success.gatech.edu
1-to-1 tutoring http://success.gatech.edu/1-1-tutoring
Peer-Led Undergraduate Study (PLUS) http://success.gatech.edu/tutoring/plus
Academic coaching http://success.gatech.edu/coaching
Residence Life's Learning Assistance Program https://housing.gatech.edu/learning-assistance-program
OMED: Educational Services (http://omed.gatech.edu/programs/academic-support). Group study sessions and tutoring programs
Communication Center (http://www.communicationcenter.gatech.edu). Individualized help with writing and multimedia projects
Academic advisors for your major
(2) Personal Support.
The Office of the Dean of Students: http://studentlife.gatech.edu/content/services; 404-894-6367; Smithgall Student Services Building 2nd foor. You also may request assistance at https://gatech-advocate.symplicity.com/care report/index.php/pid383662?
Counseling Center: http://counseling.gatech.edu; 404-894-2575; Smithgall Student Services Building 2nd floor. Services include short-term individual counseling, group counseling, couples counseling, testing and assessment, referral services, and crisis intervention. Their website also includes links to state and national resources. Students in crisis may walk in during business hours (8am-5pm, Monday through Friday) or contact the counselor on call after hours at 404-894-2204.
Students Temporary Assistance and Resources (STAR): http://studentlife.gatech.edu/content/need-help (can assist with interview clothing, food, and housing needs.)
Stamps Health Services: https://health.gatech.edu; 404-894-1420 (Primary care, pharmacy, women's health, psychiatry, immunization and allergy, health promotion, and nutrition.)
OMED: Educational Services: http://www.omed.gatech.edu
Womens Resource Center: http://www.womenscenter.gatech.edu; 404-385-0230
LGBTQIA Resource Center: http://lgbtqia.gatech.edu/; 404-385-2679
Veterans Resource Center: http://veterans.gatech.edu/; 404-385-2067
Georgia Tech Police: 404-894-2500
Answer keys for in-class exercises: Exercise 1, Exercise 2, Exercise 3, Exercise 4, Exercise 5 , Exercise 6, Exercise 7, Exercise 8, Exercise 9, Exercise 10, Exercise 11, Exercise 12, Exercise 13, Exercise 14, Exercise 15, Exercise 15b, Exercise 16, Exercise 17, Exercise 18, Exercise 19, Exercise 20, Exercise 21
Practice Exams: Test 1 Sample, Test 2 Sample1, Sample2, Final Sample1, Sample2, Sample3