M 311 - Calculus III

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Academic Misconduct: The Department of Mathematics expects its students to comply fully with Indiana University policies on academic integrity. The penalties for a student caught cheating in this course may include a final course grade of F* (the star tells the registrar that the F is due to cheating) along with probation, suspension, or expulsion from the University. Academic misconduct will be reported to the Office of Student Ethics. Students should review the Code of Student Rights, Responsibilities, and Conduct, posted at: http://studentcode.iu.edu/

Religious Holiday Policy: If you will miss class, especially a class during which there will be an exam or other required work, for a religious holiday, you must inform me during the first two weeks of the semester. Procedures and campus policy can be found at: http://vpfaa.indiana.edu/docs/religious_observances/religious-observances-statement.pdf

Other University Information

Bias-Based Incident Reporting: As your instructor, one of my responsibilities is to create a positive learning environment for all students. Bias incidents (events or comments that target an individual or group based on age, color, religion, disability, race, ethnicity, national origin, sex, gender, gender identity, sexual orientation, marital status or veteran status) are not appropriate in our classroom or on campus. What should you do if you witness or experience a bias incident? See it? Hear it? Report it by submitting a report online (biasincident.indiana.edu) or calling the Dean of Students Office (812-855-8187).

Disability Services for Students: Every attempt will be made to accommodate qualified students with disabilities (e.g. mental health, learning, chronic health, physical, hearing, vision neurological, etc.) You must have established your eligibility for support services through the appropriate office that services students with disabilities. Note that services are confidential, may take time to put into place and are not retroactive; Captions and alternate media for print materials may take three or more weeks to get produced. Please contact Disability Services for Students at http://disabilityservices.indiana.edu or 812-855-7578 as soon as possible if accommodations are needed. The office is located on the third floor, west tower, of the Wells Library, Room W302. Walk-ins are welcome 8 AM to 5 PM, Monday through Friday. You can also locate a variety of campus resources for students and visitors that need assistance at: http://www.iu.edu/~ada/index.shtml

Sexual Misconduct and Title IX: As your instructor, one of my responsibilities is to create a positive learning environment for all students. Title IX and IU’s Sexual Misconduct Policy prohibit sexual misconduct in any form, including sexual harassment, sexual assault, stalking, and dating and domestic violence. If you have experienced sexual misconduct, or know someone who has, the University can help.

If you are seeking help and would like to speak to someone confidentially, you can make an appointment with:

The Sexual Assault Crisis Services (SACS) at (812) 855-8900 (counseling services)

Confidential Victim Advocates (CVA) at (812) 856-2469 (advocacy and advice services)

IU Health Center at (812) 855-4011 (health and medical services)

It is also important that you know that Title IX and University policy require me to share any information brought to my attention about potential sexual misconduct, with the campus Deputy Title IX Coordinator or IU’s Title IX Coordinator. In that event, those individuals will work to ensure that appropriate measures are taken and resources are made available. Protecting student privacy is of utmost concern, and information will only be shared with those that need to know to ensure the University can respond and assist.

I encourage you to visit stopsexualviolence.iu.edu to learn more.

Rough schedule of lectures: Below is a tentative detailed plan. You should read the relevant textbook sections

before coming to class and again after class and before working on your Homework problems.

Week 1: 12.1, 12.2, 12.3 (Three-dimensional coordinate systems, Vectors, The dot product)

Week 2: 12.3, 12.4 (The dot product, The cross product) (First graded homework due Jan 23 Thursday), MLK holiday Jan 20.

Week 3: 12.5, 12.6 (Equations of lines and planes, Cylinders and Quadric surfaces).

Week 4: 13.1, 13.2, 13.3 (Vector functions and Space curves, Derivatives and

Integrals of Vector functions, Arc length and curvature)

Week 5: 13.3, 13.4 (Arc length and curvature, Motion in space: Velocity and Acceleration), Midterm 1 (Feb 12)

Week 6: 14.1, 14.2 (Functions of several variables, Limits and Continuity)

Week 7: 14.3 (Partial derivatives, Partial Differential Equations)

Week 8: 14.4, 14.5 (Tangent planes and linear approximations, The chain rule)

Week 9: 14.6, 14.7 (Directional derivatives and the gradient vector, Maximum and

minimum values)

Spring Break (March 16-20)

Week 10: 14.7, 14.8 (Maximum and minimum values, Lagrange multipliers)

Week 11: 14.8, 15.1 (Lagrange multipliers, Double integrals over Rectangles), Midterm

2 (April 8)

Week 12: 15.1, 15.2, 10.3(Double integrals over Rectangles, Double integrals over general

regions, Polar coordinates)

Week 13: 15.3, 15.4, 15.5 (Double integrals in polar coordinates, Applications of Dou-

ble integrals, Surface area)

Week 14: 15. 6 (Triple integrals)

Week 15: 15.7, 15.8 (Triple integrals in Cylindrical and Spherical coordinates), Review

Final exam: 10:15 a.m.-12:15 p.m., Fri., May 8

Spring 2020

Class Day and Times: 1:25 pm-2:15 pm, Jan 13 (Mon) - May 2 (Sat)

Lectures: Mon/Tues/Wed
Recitation session to be conducted by the Associate Instructor on Thursdays.
Fridays are for self-review, group study and make-up lessons when needed.

Locations: Mon/Wed/Fri (Woodburn Hall 009), Tues/Thurs (Ballantine Hall 340).

Instructor: Wai-Tong (Louis) Fan. Office: Rawles Hall 225. Email: waifan@iu.edu

Office Hours: 2:15-3:15 Tues and Thursday

AI: Tim Lai. Office: Rawles Hall 233 Email: timlai@indiana.edu

Office Hour: TBD

Important dates: Make sure to reserve them in your calendar.

Last day for automatic withdrawals is Sunday, March 15.
Midterm exam 1: Wed, February 12
Midterm exam 2: Wed, April 8
Final exam: 10:15 a.m.-12:15 p.m., Fri., May 8 (see Page 2 of Examination Schedule)
Spring break: March 16-20

Prerequisites: M212, M213 or consent of department

Textbook: Multivariable Calculus by James Stewart, 8th edition. We shall cover most of the sections in Chapters 12-15.

Course topics: Elementary geometry of 2, 3, and n-space; functions of several variables; partial differentiation; minimum and maximum problems; multiple integration (double and triple integrals).

Time expectation: You should spend about 12 hours per week, including class time, though this will vary depending on other factors such as your background, the material covered during the week, etc.

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Announcements and class information: Official course announcements will be made through Canvas. You are required to set your Canvas notifications so that your receive these announcements. Failure to do so will not be considered a legitimate excuse for missing assignments or any other thing that might be announced via Canvas.

Go to Account -> Notifications and set Announcements to be received immediately.

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Evaluation: Your course grade will be computed using the following weights:

Homework and Quizzes (30%), Two midterms (2x20%), and Final exam (30%).

(Due to COVID-19, the above weights are changed to the following: Homework and Quizzes (50%), Midterm (20%), and Final exam (30%).

Final letter grades will be determined from the total scores using the following approximate rule:

90-100%=A, 80-89% = B, 65-79%= C, 55-64%= D, and F- below 55%.

The performance of the entire class will be taken into consideration while deciding the exact final course grades.

Homework and Quizzes:

Quizzes will be given (roughly) weekly in Recitation session, except in exam weeks. There will be no make up quizzes. The lowest quiz score will be dropped. (First graded quiz on Jan 16 Thursday)
Homework is due each Thursday at the start of the Recitation session, except in exam weeks and the first week of classes. (First graded homework due Jan 23 Thursday)
Homework problems will be posted on CANVAS a week before the due date. No late homework will be accepted.The lowest score will be dropped.
You are encouraged to discuss the homework with other fellow students. However, you must write up the .final solutions by yourself. You might also use any resource you like to solve the problems. However, any resource you use other than Stewart's textbook must be cited in your homework.

Exams:

There will be two midterms and a final. Make sure to reserve those dates on your calendar.

No calculators, cell phones, or other gadgets will be permitted in exams and quizzes, only pencil/pen. No formula sheet is allowed. You are expected to have internalized important formulas while working on homework problems.

Make-up midterm exams will be considered only if there is a conflict with another university-related event (in which case case you need to contact me as soon as possible), or a last-minute medical/family emergency (you need to show proof of such emergency, e.g., doctor's notes). See this page for more about examination policy.
Default grade scale can be found in the link (https://kb.iu.edu/d/azij).

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