I n s t r u c t o r :
E-mail: vadim@wpi.edu Phone: x5495 Office: SH104C E-mail: jye@wpi.edu Office: SH204 Duc Tran (PLA) (BC5A) E-mail: dhtran@wpi.edu Office: SH002 (The Mathematics Tutoring Center) |
Office hours:
Thu: 3:00-4:00 pm and by appointment Fri: 2:30-3:30 pm and by appointment Tue: 1:00-2:00 pm Fri: 1:00-2:00 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/B16_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 homework will be run under the guidance of Jiaxuan (Ben) Ye and Duc Tran, the TA and PLA in this course. They 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) that will be focused on the following topics:
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Lab 1: Surfaces Lab 2: Partial Derivatives & the Tangent Planes Lab 3: Finding Global Extrema Lab 4: Directional Derivatives and the Gradient Lab 5: 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, the Instructor Assistant in this coruse.
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. No laptops, gadgets, tablets, calculators, smartphones, etc. are allowed in the Tests.
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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:
Test 2: Tue, Nov 29 <==> Test Preview: Mon, Nov 28, 5:30-6:30 pm, SH 304 Test 3: Tue, Dec 13 <==> Test Preview: Mon, Dec 12, 5:30-6:30 pm, SH 304 |
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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.
The 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 conceptual and practical issues:
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) |
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