AMS 261: Applied Calculus III (Multivariable Calculus)

Spring 2012
Time: Monday, Wednesday 2:20pm--3:40pm
Location: Engineering 145
Lecture schedule (tentative)

Recitation 1: Wed. 10:40am-11:35am in Harriman Hall 112
Recitation 2: Thur. 3:50pm--4:45pm in Melville Library W4550
Recitation 3: Mon 12:50pm--1:45pm in Harriman Hall 108
Recitation schedule (tentative)

Instructor: Prof. Xiangmin (Jim) Jiao
Email: xiangmin.jiao@stonybrook.edu
Office Hours: Mon. 11am-noon & Fri. 2--3pm or by appointment
Office: Math Tower 1-115

 Recitation TA: Shuai Xue
Email: sxue@ams.sunysb.edu
Office Hours: Thur. 1--3pm by appointment
Office: Math Tower 1-125
TA: Cao Lu
Email: clu@ams.sunysb.edu
Office Hours: Tue. 1--2pm & 4-5pm or by appointment
Office: Math Tower S-250		 Graders: Jashna Benday, Jue Gao, Pak Lung Wong, Weicheng Ye
Office Hours: Wed. 1--2pm (on weeks when
written homework is due) or by appointment
Office: Harriman Hall 010



[ Course Description | Required Textbook  | Course Outline | Course Policy | University Policy ]
Course Description (back to top)


Vector algebra and analytic geometry in 2- and 3-dimensions; multivariable differential calculus and tangent planes; multivariable integral calculus; optimization and Lagrange multipliers; vector calculus including Green's and Stokes' theorems. May not be taken for credit in addition to MAT 203 or 205.

Prerequisite/Co-requisite: AMS 161 or MAT 127 or 132 or 142 or 171.
Required Textbook and Resources (back to top)


Note: Read this entire section before purchasing the textbook online or at the bookstore.

  1. Multivariable Calculus, by Ron Larson and Bruce H. Edwards, Brooks Cole, 9th edition, 2009, ISBN 978-0547209975.
  2. WebAssign: We will use WebAssign for some of the homework.
You can purchase the book and WebAssign access in one of the following ways:
  1. Purchase a bundle of the hardcover textbook with WebAssign access code at the Universtity Book Store. This bundle has its own ISBN 978-1111231835.
  2. Purchase an eBook and WebAssign access code for multiple terms (life-time of the edition) at $110 or for one term at $75. Unlike the printed book, which contains  chapters 11 through 16, the eBook is the complete book of "Calculus" (ISBN 978-0547167024) with chapters 1 through 16.
  3. Obtain the textbook (ISBN 978-0547209975) separately, and then purchase the WebAssign access code at $47.
Option 1 may be required for students who purchase the book using their university financial-aid accounts. For options 2 and 3, please log in to WebAssign following the instructions on the Blackboard under Assignments-->WebAssign (click on Assignments in the left menu-bar and then go to the WebAssign folder).

For some homework problems, you may need to use some computer algebra system. We recommend Maple Computer Algebra System, which is available free of charge to students on Softweb and is also available on SINC Site computers.
Course Outline (back to top)

  • Vector algebra and geometry in space (2.5 weeks).
  • Vector-valued functions and their differentiation and integration(1.5 weeks)
  • Function of several variables, partial derivatives, chain rules (2 weeks).
  • Extrema of functions, optimization, Lagrange multipliers (1.5 weeks)
  • Multiple integration, iterated integrals, change of variables and Jacobians (3 weeks).
  • Vector calculus, linear integrals, surface integrals, Green's Theorem, Stokes' Theorem (2.5 week).
Course Policy (back to top)


Assignments

We have both WebAssign and written homework assignments. WebAssign is on-line, and is due every Friday except for the week of school recess. Written homework assignments are due in class typically two weeks after they are assigned. You are allowed to discuss course materials and homework problems in small groups, but limited to discussion of general ideas only. You must write your solutions completely independently. Under no circumstances may you copy solutions from any source, including but not limited to other students solutions, official solutions distributed in past terms, and solutions from courses taught at other universities. Violation of these rules may result in disciplinary actions.

Graded written homework and exams will be returned during recitation sections. If you missed the recitation, please pick it up during recitation TA's office hours.

Exams

There will be two in-class midterm tests and a final exam. All tests are closed-book. Calculators are NOT allowed during exams.

It is the student’s responsibility to plan a class schedule that avoids exam conflicts and too many exams in the same day. The instructor is not obligated to give makeup examinations to students in cases of such conflicts.

Grading

  • WebAssign: 15%
  • Written Homework: 15%
  • Two mid-term exams: 40%
  • Final exam: 30%
For grading issues with written homework, WebAssign, or exams, students should resolve them with the TA Cao Lu (not the recitation TA) during his office hours or by appointment. Any dispute about grading for homework and exams must be initiated within one week after they are returned.

Students in minor violation of academic integrity (such as copying homework or letting others copying his/her homework) will receive a lower grade by one major unit (such as decreasing from A- to B-). Students in major violation of academic integrity (such as cheating during tests) will receive F or Q.
Policies and Academic Integrity (back to top)


Americans with Disabilities Act

If you have a physical, psychological, medical or learning disability that may impact your course work, please contact Disability Support Services, ECC (Educational Communications Center) Building, room128, (631) 632-6748. They will determine with you what accommodations, if any, are necessary and appropriate. All information and documentation is confidential.

Academic Integrity

Each student must pursue his or her academic goals honestly and be personally accountable for all submitted work. Representing another person's work as your own is always wrong. Faculty are required to report any suspected instances of academic dishonesty to the Academic Judiciary. For more comprehensive information on academic integrity, including categories of academic dishonesty, please refer to the academic judiciary website at http://www.stonybrook.edu/uaa/academicjudiciary/

Critical Incident Management

Stony Brook University expects students to respect the rights, privileges, and property of other people. Faculty are required to report to the Office of Judicial Affairs any disruptive behavior that interrupts their ability to teach, compromises the safety of the learning environment, or inhibits students' ability to learn.