I n s t r u c t o r :
E-mail: vadim@wpi.edu Phone: x5495 Office: SH104C E-mail: jbi@wpi.edu Office: SL405 |
Office hours:
Thu: 3:00-4:00 pm and by appointment Fri: 2:30-3:30 pm and by appointment |
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In this course, you'll learn the basics of Multivariable Calculus: elements of geometry in space as well as differentiation and integration in n-space. By the end of the term, you will explore a number of crucial features of functions of more than one variable and be able to perform partial differentiation and multiple integration.
General InformationText: G.B. Thomas, Jr., M.D. Weir, and J. Hass, Thomas' Calculus. Early Transcendentals, 13th Edition, 2014.
Web Site: http://www.wpi.edu/~vadim/Calc_IV/D17_Info.html
Course Structure:
Main Topics:
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Grading Scheme:Maple Labs (15%, 6 x 2.5% each), |
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Point ranges (in percents) for grades are given by: A: 100% - 90%; B: 90% - 80%; C: 80% - 70%; NR: < 70%.
ConferencesConference meetings held to facilitate your learning and help you with the course practical work will be run under the guidance of Jiankun Bi, the Teaching Assistant (TA) in this course. He will be also responsible for three Test Preview Help Sessions (see Section Examinations below). Conferences will be focused on solving problems associated with the main topics of the course material.
Computer LabsThe Lab Sessions will be organized in order to let you gain experience with Maple Computer Algebra System and its use in the problems related to Multivariable Calculus. The course includes six meetings in the Computer Lab (SH003) (see the Schedule of Events). The Labs will be dedicated to the following topics (not firmly associated with particular dates yet):
Lab 1. Surfaces Lab 2. Laplace Heat and Wave Equations Lab 3. Directional Derivatives Lab 4. Extrema Lab 5. Area and Volume with Double Integrals Lab 6. Cylindrical and Spherical Coordinates |
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Each lab should be completed and turned in during the same lab period it is introduced. The work in the lab will be done under the guidance of Jane Bouchard and Dina Rassias, the Instructor Assistants in this course.
Home Work & QuizzesThree Tests will cover all main topics of the course. The Tests are scheduled for the days following the lecture consideration of the topics covered in several preceding classes; therefore, the last Test (No 3) is not comprehensive.
The web Test
Preview will give you clear ideas about Tests' contents: corresponding
information, instructions, and sample problems will be posted there two
days before the event. Special Test Preview Help Sessions will take
place prior to each examination:
For Test 2 (Thur, Apr 13) => Test Preview: Wed, Apr 12, 4:00-5:00 pm, SH106 For Test 3 (Mon, May 1) => Test Preview: Sun, Apr 30, 3:00-4:00 pm, SH106 |
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There will be opportunities to earn bonus points during this course. Each Test will include a bonus problem. Also, you may get bonus points for an excellent quiz at the instructor's discretion.
If you need course adaptations or accommodations because of a disability, or if you have medical information to share with me that may impact your performance or participation in this course, please make an appointment with your instructor as soon as possible. If you have approved accommodations, please request your accommodation letters online through the Office of Disability Services student portal.
WPI's Academic Honesty policy, definitions and examples of academic dishonesty, and other info on the subject (including explanations of the steps that will be taken if students are suspected of violating the policy) can be found at http://www.wpi.edu/offices/policies/honesty/. Each student should familiarize him/herself with this info. All acts of fabrication, plagiarism, cheating, and facilitation will be prosecuted according to the university's policy. If you are ever unsure as to whether your intended actions are considered academically honest or not, see your instructor.
Additional Resources and HelpThe following resources are strongly recommended to be used for individual and/or group discussions aiming to assist in learning and understanding the meanings of the course's points of conceptual and practical value:
Week 1: |
Partial Derivatives: Functions of several variables (14.1). Limits, continuity, partial derivatives (14.2, 14.3). |
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Week 2: |
Partial Derivatives (cont'd): Chain Rule (14.4). Directional derivatives and the gradient (14.5). |
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Week 3: |
Partial Derivatives (cont'd): Linear approximations & differentials (14.6). Multivariable optimization (14.7). |
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Week 4: |
Multiple Integrals: Double integrals; iterated integrals, double integrals over non-rectangular regions (15.1, 15.2). |
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Week 5: |
Multiple Integrals (cont'd): Area by double integration (15.3). Double integrals in polar coordinates (15.4). |
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Week 6: |
Multiple Integrals (cont'd): Triple integrals (15.5). Moments and centers of mass (15.6) |
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Week 7: |
Multiple Integrals (cont'd): Integration in spherical coordinates (15.7). Change of variables (15.8) |
NB: There is no class on Tue, May 2 |
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