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: 1:00 - 1:50 pm; and by appointment |
C o n f e r e n c e :
B05: Mon: 9-9:50 am (SH202) |
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Upon completing the course you'll be able to evaluate indefinite and definite integrals using substitutions or integration by parts technique.
General Information
Main Topics:
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Grading Scheme:Computer Labs (15%, 5 x 3% each), |
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Point ranges derived to percents for grades are given by: A: 100 -
90.00%; B: 89.99 - 80.00%; C: 79.99 - 70.00%; NR:
69.99
The labs are arranged to provide you with initial information about Maple Computer Algebra System and its use in the problem related to the Integral Calculus. The course includes 5 meetings in the Computer Lab (SH306) on Thursdays at 8:00 am (B03) and 9:00 am (B05):
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Lab 1: Rectangular Approximations to Area - November 6 Lab 2: Integrals and Area - November 13 Lab 3: Solids of Revolution - November 20 Lab 4: Moments and Center of Mass - December 4 Lab 5: Logarithms and Exponential Functions - December 11 |
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Each lab should be completed and turned in during the same lab period it is introduced. Reports on your effort will be evaluated and graded: all 5 labs will be worth 15% of the final grade.
Practice problems will be given for each section 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.
Answers to all even number problems included in the HW assignments will appear on in News section just prior each quiz.
There will be several opportunities to earn bonus points during this course. Each Test and the Final Exam will include bonus problem(s). The so called Special Problems will be offered (3 times!) to solve on the competition basis. Special Problem Rules explain how these events are arranged. Also, you may get bonus points for the exceptionally outstanding quizzes at the instructor's discretion.
No make up will be given without a legitimate reason. That could be an illness or other unavoidable emergency which you can document.
Special Event - Math Movie and Essay
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There will be an unusual event in this course - a rare opportunity to watch a movie documenting a lecture given in Cornell University by Professor Richard Feynman, the Nobel Laureate in physics. In this lecture, he talks about mathematics and its relations to sciences. The show is scheduled for:Wednesday, November 19, 3:50 pm for B03 and 5:00 pm for B05, SH308 |
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Recommendations of your
predecessors (students of A'00, B'01, and B'02 Terms in Sections A/02A04,
B03/B05, and B04/B06) provide you with explicit guidelines how to survive in this course.
Week 1: |
The Integral: Antiderivatives and separable differential equations (Sect. 5.1, 5.2). The definite integral (Sect. 5.3 - 5.5) |
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Week 2: |
The Integral (cont'd): The definite integral (Sect. 5.3 - 5.5, cont'd). Fundamental Theorem of Calculus, more properties of the definite integral, aids in evaluating definite integrals (Sect. 5.6 - 5.8) |
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Week 3: |
The Integral (cont'd): Fundamental Theorem of Calculus, more properties of the definite integral, aids in evaluating definite integrals (Sect. 5.6 - 5.8, cont'd). Applications of the Integral: Areas of plane regions, solids of revolution via disks and washers (Sect. 6.1, 6.2) |
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Week 4: |
Applications of the Integral (cont'd): Arc length (Sect. 6.4). Work, moments, and center of mass (Sect. 6.5, 6.6) |
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Week 5: |
Transcendental Functions: The natural logarithm, inverse functions, natural exponential function (Sect. 7.1 - 7.3). General exponential functions (Sect. 7.4). Exponential growth and decay (Sect. 7.5) |
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Week 6: |
Transcendental Functions (cont'd): Inverse trigonometric functions (Sect. 7.6, 7.7). Techniques of Integration: Integration by substitution (Sect. 8.1, 8.3) |
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Week 7: |
Techniques of Integration (cont'd): Integration by substitution (Sect. 8.1, 8.3, cont'd). Integration by parts (Sect. 8.4) |
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