C'12
Course Information
Homework
Assignments
Special Problem's
Rules
News
Test Preview
Mathematicians
Biographies
I n s t r u c t o r :
Office: SH104C Phone: x5495 E-mail: vadim@wpi.edu |
Office hours:
Thu: 2:00-2:50 pm; Fri: 2:00-2:50 pm; and by appointment |
C o n f e r e n c e:
C04: Mon, SH309, 12:00-12:50 pm |
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In this course, you will learn the basics of many diverse elements of Calculus: indeterminate forms, infinite sequences and series, polar coordinates, vectors, etc. By the end of the term, you'll be able to perform vector operations, integrate functions in polar coordinates, manipulate with improper integrals, Taylor series and polynomials, lines & planes in space.
Main Topics:
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Grading Scheme:Maple Labs (15%, 5 x 3% 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 (see the dates in the Schedule of Events) will be held to facilitate your learning and help you with homework. The conferences will be run under the guidance of the TA Marisa Zemsky (C01) and the PLA Jackson DeWeese (C04). They will also hold office hours twice a week - the details will be given at the first conference.
Computer LabsThe labs will be arranged to provide you with more knowledge about Maple Computer Algebra System and its use in the problems related to the course subjects. There will be 5 meetings in the Computer Lab (SH003) on Wednesdays (C01) and Thursdays (C04); for more info, see Schedule of Events below.
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Lab 1: Improper Integrals Lab 2: Polar Coordinates Lab 3: Sequences and Series Lab 4: Taylor Polynomials Lab 5: Plane Curves |
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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 Maple Instructor Assistants on this course.
Home Work & QuizzesPractice problems will be given for each topic covered. The list of recommended problems can be found in the Homework Assignments section. Homework is not handed in, so each student should take a personal responsibility for doing sufficient study and practice.
Alternatively, to evaluate your course progress, five 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 cover approximately equal portions of the course. Each Test is scheduled for a class following the lecture consideration of the topics covered in several preceding classes; therefore, the last Test is not comprehensive.
All three Tests are open-book / open-notes / closed-solution-manual events. Calculators are NOT allowed (unless they are required for numerical/approximate calculations - you will be instructed accordingly prior to each Test).
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The web Test Preview will give you clear ideas about the test
contents; corresponding information, instructions, and sample problems will
be posted there two days before the event. Special Test Preview Help
Sessions (run by the TA) will take place prior to each Test (see also
the Schedule of Events):
Test Preview: Mon, Jan 30 - C01: 5:00 pm (SH106); C04: 5.00 pm (SH202) Test No 2: Fri, Feb 17: Test Preview: Thur, Feb 16 - C01: 4:00 pm (SH106); C04: 4:00 pm (SH202) Test No 3: Thur, March 1: Test Preview: Wed, Feb 29 - C01: 4:00 pm (SH106); C04: 5:00 pm (SH202) |
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There will be opportunities to earn bonus points. Each Test will include a bonus problem. Also, you may get bonus points for your excellent work in the quizzes at the instructor's discretion.
The so called Special Problems will be offered (2 times) to solve on the competition basis. Special Problem's Rules explain how these events will be organized.
If you need course adaptations or accommodations because of a disability, the related arrangements should done as soon as possible.
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/
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Week 1: |
Indeterminate Forms & Improper Integrals: Indeterminate forms (4.8, 4.9). L'Hopital's Rule (4.8). Improper integrals (7.8). |
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Week 2: |
Polar Coordinates & Parametric Curves: Polar coordinates (9.2). Area in polar coordinates (9.3). Parametric curves (9.4). Integral computation with parametric curves (9.5) |
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Week 3: |
Sequences & Series: Inifinite sequences (10.2). Infinite series (10.3). Concept of convergence (10.3). |
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Week 4: |
Sequences & Series (cont'd): Taylor series & Taylor polynomials (10.4). Convergence tests: the Integral Test, Comparison Tests (10.5, 10.6). |
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Week 5: |
Sequences & Series (cont'd): Alternating series (10.7). Power series (10.8). Power series computations (10.9). |
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Week 6: |
Vectors, Lines, Planes, Curves: Vectors in the plane (11.1) and in space (11.2). Cross product (11.3). |
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Week 7: |
Vectors, Lines, Planes, Curves (cont'd): Lines and planes in space (11.4). Curves in space; motion, acceleration, curvature (11.5. 11.6) |
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Homework
Assignments
News
Special Problem's
Rules
Test Preview
Mathematicians'
Biographies
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[ Department of Mathematical Sciences ] | [ Back to Vadim Yakovlev's Prof Page ] | [ Back to Vadim Yakovlev's Calculus Page ] |
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