I n s t r u c t o r :
Office: SH 104C Phone: x5495 E-mail: vadim@wpi.edu |
Office hours:
Thur: 4-5 pm, Fri: 3-4 pm, and by appointment |
C o n f e r e n c e s:
D02: Fri, 10-10:50 am, SH106 |
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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 Information
Main Topics:
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Grading Scheme:Maple Labs (15%, 6 x 2.5% each), |
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Point ranges derived to 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 the TA, Divya Moorjaney. She will be also responsible for three Test Preview Help Sessions (see Section Tests below) and hold office hours twice a week (Tue and Thur, 12-1 pm).
Computer LabsThe labs will be arranged to provide you with more knowledge about Maple and its use in the problems related to Multivariable Calculus. The course includes 6 meetings in the Computer Lab (SH 003) on Wednesdays at 12:00 noon (Section D01) and 4:00 pm (Section D02):
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Lab 1: Surfaces Lab 2: Partial Derivatives & 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 & QuizzesTo evaluate your work at home, six 15-minute quizzes will be offered throughout the course. The quiz problems will be chosen from the homework assignments made in a few preceding classes. The quizzes will be held in the beginning of the lecture meetings in accordance with the Schedule of Events.
Three Tests will cover approximately equal portions of the course. Each of the Tests is scheduled for a class following the lecture consideration of the related topics; therefore, the last test is not comprehensive.
The Tests will be open-book/open-notes events. Calculators are NOT allowed (unless they are required for numerical/approximate calculations).
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The Test
Preview web page will give you a good understanding of the test contents:
corresponding information, instructions, and sample problems will be posted
there 2 days before the event. Special Test Preview Help Sessions
will take place on the days preceding the Tests (see also Schedule of Events):
Test 2: Fri, April 18 <=> Test Preview: Thur, April 17, 4-5 pm, SH 202 Test 3: Mon, May 5 <==> Test Preview: Sun, May 4, 4-5 pm, SH 202 |
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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.
The so-called Special Problems will be offered (2 times) to solve on competition basis. Special Problem's Rules explain how these events will be arranged.
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 go to the Exam Proctoring Center (EPC) in Morgan Hall to pick up Letters of Accommodation.
Week 1: |
Partial Differentiation: Functions of several variables. Limits, continuity. Partial derivatives. |
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Week 2: |
Partial Differentiation (cont'd): Multivariable optimization. Linear approximations. Differentials. Chain Rule. |
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Week 3: |
Partial Differentiation (cont'd): Directional derivatives and the gradient. Critical points. |
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Week 4: |
Multiple Integration: Double integrals; iterated integrals. Double integrals over non-rectangular regions. Area and volume by double integration. |
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Week 5: |
Multiple Integration (cont'd): Double integrals in polar coordinates. Applications of double integrals |
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Week 6: |
Multiple Integration (cont'd): Triple integrals. Integration in cylindrical coordinates. |
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Week 7: |
Multiple Integration (cont'd): Integration in spherical coordinates. Surface area. |
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