MA 251 -- Chi Li

01:640:251 - Multivariable Calculus

Section 05-07, Tuesday/Friday 8:40am-10am   (zoom)
Recitations on Wednesday   (zoom)


Instructor/TA Office Office hour (zoom) Email
Dr. Chi Li Monday/Thursday 8:40am-10am chi.li@rutgers.edu
Brian Pinsky bp466@math.rutgers.edu

Textbook Schedule Canvas Pearson log in Rutgers Zoom Policies Services

Grading:
Quizzes Reading Assignments
Due on Monday/Thursday
MyLab homework
Due on each Sunday
Computer Labs Midterms Final Total
30 10 40 20 200=50*4 100 400

Schedule of topics (updating) and Rutgers Calendar

Week

Sections

Notes

Recordings

Week 1: 1/18-1/22

12.1: 3-dim coordinate systems

12.2: Vectors

12.3: Dot product

01/19
01/22
01/19
01/22

Week 2: 1/25-1/29

12.4: Cross product

12.5: Lines and planes

12.6: Cylinders and Quadric surfaces

01/26
01/29

Quiz 1

01/26
01/29

Week 3: 2/1-2/5

13.1: Curves and tangents

13.2: Integrals, Projectile motion

13.3: Arc length

02/02
02/05
Quiz 2
02/02
02/05

Week 4: 2/8-2/12

14.1: Functions of several variables

14.2: Limits and continuity

14.3: Partial derivaties

02/09
02/12
Quiz 3
02/09
02/12

Week 5: 2/15-2/19

Midterm 1

14.4: Chain rule

14.5: Directional derivatives and gradient

02/16
02/19
Introduction to Matlab
02/16
02/19

Week 6: 2/22-2/26

14.6: Tangent planes and differentials

14.7: Extreme values and saddle points

14.8: Lagrange Multipliers

02/23
02/26
Quiz 4
02/23
02/26

Week 7: 3/1-3/5

15.1: Double and iterated integrals

15.2: Double integrals over general regions

15.3: Area by double integration

03/02
03/05
Quiz 5
03/02
03/05

Week 8: 3/8-3/12

Midterm 2

15.4: Double integrals in polar form

03/09
03/12
03/09
03/12

Week 9: 3/15-3/19

Spring Break

Week 10: 3/22-3/26

15.5: Triple integrals in rectangular coordinates

15.7: Triple integrals in cylindrical/spherical coordinates

03/23
03/26
Quiz 6
03/23
03/26

Week 11: 3/29-4/2

15.7: Triple integrals in cylindrical/spherical coordinates

15.8: Substitution in multiple integrals

16.1: Line integrals

03/30
04/02
Quiz 7
03/30
04/02

Week 12: 4/5-4/9

Midterm 3

16.2: Vector fields & line integrals

16.3: Path independence

04/06
04/09
04/06
04/09

Week 13: 4/12-4/16

16.4: Green's Theorem

16.5: Surfaces integrals

04/13
04/16
Quiz 8
04/13
04/16

Week 14: 4/19-4/23

16.6: Stokes' theorem

16.7: Divergence theorem

04/20
04/23
Quiz 9
04/20
04/23

Week 15: 4/26-4/30

Midterm 4

16.7: Divergence theorem

Review
04/27
04/30
quiz
04/27
04/30

Week 16-17: 5/3-5/12

Classes end on 5/3   Reading Days (5/4-5/5)
Exam (between 5/6-5/12)

Zoom information
Meeting ID Passcode
Lecture 950 4267 3252 see Canvas announcement
Recitation
Li's office hour
Pinsky's office hour

Quizzes

There will be weekly quizzes given in recitation. The quiz may cover any topics covered in lecture since the previous quiz. The lowest or missed one quiz score will be dropped.

Matlab Assignment

We will have some computer labs to show how technology facilitates the learning of certain calculus concepts. These were primarily designed for Matlab, since you can use the Rutgers license to download it for free. However, you may also use Maple or Mathematica to work on these assignmets. More information about them will be given during at the beginning of the Spring Semester.

Introduction to Matlab

Reading Assignments

You are expected to read the textbook sections for each class before the lecture. Reading Assign- ments will be posted on your section's Canvas site, and will be due prior to that day's lecture. Each assignment will include one or two questions based on the textbook section(s). You are not expected to fully understand the topic just by reading the book, but you are supposed to know definitions and have a general sense of the material and the problem types that we are likely to discuss in class.

Midterms

There are 4 scheduled midterm exams, on Monday 9:00pm-11:00pm, every three weeks, starting on Feb 15. Each exam will be administered via Mylab. The midterms are scheduled at the following dates:

Exam 1 , February 15, (12.1-12.6, 13.1-13.3)

Exam 2 , March 8, (14.1-14.8)

Exam 3 , April 5, (15.1-15.7)

Exam 4 , April 26, (15.8, 16.1-16.5)

(The specific topics covered on each exam are subject to change.)

Final Exam

The final exam is (tentatively) scheduled for .

General Policies

All students in the course are expected to be familiar with and abide by the academic integrity policy. Violations of the policy are taken very seriously.

Rutgers is fully commited to compliance with the American with Disabilities Act; policies and procedures are indicated at http://ods.rutgers.edu/

Students who wish to request special accommodations must present a Letter of Accommodations to the instructor as early in the term as possible (see https://ods.rutgers.edu/letter-accommodation )

Student-Wellness Services

Counseling, ADAP & Psychiatric Services (CAPS) http://health.rutgers.edu/medicalcounseling- services/counseling/ , (848) 932-7884 / 17 Senior Street, New Brunswick, NJ 08901. CAPS is a university mental health support service that includes counseling, alcohol and other drug assistance, and psychiatric services staffed by a team of professional within Rutgers Health services to support students efforts to succeed at Rutgers University. CAPS offers a variety of services that include: individual therapy, group therapy and workshops, crisis intervention, referral to specialists in the community and consultation and collaboration with campus partners.

Violence Prevention & Victim Assistance (VPVA) www.vpva.rutgers.edu/ , (848) 932 1181, 3 Bartlett Street New Brunswick NJ 08901. The office for Violence Prevention and Victim Assistance provides confidential crisis intervention, counseling and advocacy for victims of sexual and relationship violence and stalking to students, staff and faculty. To each staff during office hours when the university is open or to reach an advocate after hours, call 848-932-1181.

Disability Services https://ods.rutgers.edu , (848) 445-6800/ Lucy Stone Hall, Suite A145, Livingston Campus, 54 Joyce Kilmer Avenue, Piscataway, NJ 08854. Rutgers University welcomes students with disabilities into all of the University’s educational programs. In order to receive consideration for reasonable accommodations, a student with a disability must contact the appropriate disability services office at the campus where you are officially enrolled, participate in an intake interview, and provide documentation: https://ods.rutgers.edu/students/documentation-guidelines . If the documentation supports your request for reasonable accommodations, your campus’s disability services office will provide you with a Letter of Accommodations. Please share this letter with your instructors and discuss the accommodations with them as early in your courses as possible. To begin this process, please compete the Registration form on the ODS web site at: https://ods.rutgers.edu/students/registration-form .

Scarlet Listeners https://rutgers.campuslabs.com/engage/organization/scarletlisteners (732) 214 9069. Free and confidential peer counseling and referral hotline, providing a comforting and supportive safe space.