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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: 3:00-3:50 pm; and by appointment |
Conferences (on Tuesdays):
C02: 10:00-10:50 am (SH106) C03: 11:00-11:50 am (SH106) C04: 12:00-12:50 pm (SH106) C05: 3:00 - 3:50 pm (HL154) |
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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 (18%, 6 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
Conference meetings will be held once a week to facilitate your learning and help you with homework. They will be run under the guidance of Daniel Onofrei, the course TA.
There are also two PLAs working on this course, Charles Gammal and Xinjia Liu. They will be running two 2-hour Help Sessions (on Wednesdays and Sundays).
Daniel Onofrei (TA):Conferences (SH309 & SH106):
Fridays: 10 to 11 am |
Charles Gammal & Xinjia Liu (PLAs)Help Sessions:
Sundays (AK219): 7 to 9 pm |
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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 Mondays at 9:00 am (C01), 10:00 am (C02), 11:00 am (C03), 12:00 noon (C04), and 3:00 pm (C05):
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Lab 1: Area Approximation - January 16 Lab 2: The Definite Integral - January 23 Lab 3: Solids of Revolution - January 30 Lab 4: Center of Mass - February 6 Lab 5: Basic Integration Techniques - February 13 Lab 6: Exponential Growth and Decay - February 20 |
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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; remember that all 6 labs will be worth 18% of the final grade.
Practice 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.
Be aware of the helpful fact: answers to all even number problems included in the HW assignments will appear on in News section just prior each quiz. However, this doesn't mean that a reproduction of the answer in the quiz paper will give you any credit for this problem - we are looking for complete solutions whereas the answers are provided just in order you could check your result.
There will be opportunities to earn bonus points during this course. Each Test and the Final Exam will include bonus problem(s). 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.)
Recommendations of your
predecessors (students of A'00, B'01, B'02, and B'03 Terms) provide you with
explicit guidelines how
to survive in this course.
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Week 1: |
The Integral: Antiderivatives. Initial value problems; motion (5.2). Elementary area computations (5.3). The definite integral (5.4) |
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Week 2: |
The Integral (cont'd): The definite integral (5.4 - cont'd). Evaluation of integrals; properties of the definite integral (5.5). Fundamental theorem of Calculus (5.6). Integration by substitution (5.7). Areas of plane regions (5.8) |
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Week 3: |
The Integral (cont'd): Areas of plane regions (5.8 - cont'd). Numerical integration (5.9). Applications of the Integral: Riemann sums approximations (6.1) |
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Week 4: |
Applications of the Integral (cont'd): Volumes by the method of cross-sections (6.2). Arc length. Surface area of revolution (6.4). Force and work (6.5). Centroids of plane regions and curves (6.6) |
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Week 5: |
Applications of the Integral (cont'd): The natural logarithm (6.7). Inverse trigonometric functions and their derivatives (6.8) |
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Week 6: |
Techniques of Integration: Integral tables; integration by substitution (7.2). Integration by parts (7.3). Trigonometric integrals (7.4). Trigonometric substitution (7.6) |
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Week 7: |
Techniques of Integration (cont'd): Trigonometric substitution (7.6 - cont'd). Introduction to Differential Equations: Simple differential equations; exponential growth and decay (8.1). Linear differential equations (8.4) |
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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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