Calculus II
Fra Luca Pacioli 
with Mathematical Instruments
B'03 Course Information

MA1022 Mon, Tue, Thu, Fri

Sections B03 (9:00 am) & B05 (10:00 am), Stratton Hall 106



How to Succeed Homework Assignments News Special Problem Rules Test Preview Mathematicians' Biographies

I n s t r u c t o r :
Vadim V. Yakovlev
Office: SH104C
Phone: x5495
E-mail: vadim@wpi.edu
Office hours:
Tue: 4:00 - 4:50 pm;
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 :
B03: Mon: 8-8:50 am (SH309)
B05: Mon: 9-9:50 am (SH202)



Syllabus

Major Course Objective

Upon completing the course you'll be able to evaluate indefinite and definite integrals using substitutions or integration by parts technique.

General Information

Text: Calculus by D. Valberg, E.J. Purcell, and S.E. Rigdon, 8th Edition

Web Site: http://www.wpi.edu/~vadim/Calc_II/B03_Info.html

Course Structure:
Main Topics:
  • The Integral
  • Applications of the Integral
  • Transcendental Functions
  • Techniques of Integration
Grading Scheme:
Computer Labs (15%, 5 x 3% each),
Quizzes (30%, 6 x 5% each),
Math Essay (5%),
Two tests (20%, 10% each),
Final Exam (30%)
.
Quizzes, tests, and the essay will have their own 30, 100, and 100 point scores respectively. The perfect scores correspond to the presented percentages.

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

Conferences
Conference meetings held once a week to facilitate your learning and help you with homework will be run under the guidance of Shawn Hallinan; for schedule/locations, see the table above.
Computer Labs

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):

Math Instruments 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

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.

The work in the Lab will be done under the guidance of Jane Bouchard, the Instructor Assistants of this course.
Home Work, Quizzes, Tests

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.

At the same time, there is a form of evaluation of your work at home. Six 15-minute quizzes are offered throughout the course, and the quiz problems are chosen from the homework assignments made in a few prior classes. The quizzes will be held in Monday classes; see Schedule of Events below for details.

Answers to all even number problems included in the HW assignments will appear on in News section just prior each quiz.

Two intermediate Tests and comprehensive Final Exam will cover the course's main topics. There will be a common Final for all MA1022 sections. In B'03, it will be held in accordance with the same scheme as was used in A'03. The Test Preview will give you ideas about the contents of the Tests: corresponding information will be posted there approximately 2 days before the event. A Sample Final Exam will be made available later in the term. For details, see Schedule of Events below.

Those students who didn't pass Basic Skills on the Final Exam for Calc I (and thus got an "I") have two more chances to pass it: please check Basic Skills Retakes schedule.
Bonus Points and Other Policies

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.

The tests and the Final are closed-book-and-closed-notes events. Calculators are NOT allowed to use. Remember that when solving your test and working on your homework problems, you have to show all work on paper. Calculator used at home may be a good tool to check your solution rather than the mean to get it. Evaluations of mathematical expressions, derivatives, integrals, etc. obtained by using advanced calculators or Maple will not be accepted.

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

Richard Feynman

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

Although the topics of his talk have no direct relation to this course, this movie is something worthwhile since it outlines some math-related ideas of one of the greatest physicists of the XX century. The movie will unavoidably lead you to certain fundamental thoughts on science and real life which are supposed to attract more your attention to mathematics. Your thoughts will be expected to be written down in the form of a Math Essay (due in class on Tuesday, Nov 25). After the screening, you will get a detailed handout with concrete recommendations and requirements for the assignment. (Those who have further interest in math-related movies can check with The Math in the Movies Page).

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.



Schedule of Events

Week
1:
The Integral: Antiderivatives and separable differential equations (Sect. 5.1, 5.2). The definite integral (Sect. 5.3 - 5.5)
  • Lecture meetings: Oct 28, 30, 31, Nov 3
  • Quiz 1: Mon, Nov 3
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)
  • Lecture meetings: Nov 4, 6, 7, 10
  • Quiz 2: Mon, Nov 10
  • Lab 1: Thu, Nov 6
  • Special Problem 1: Nov 4-5
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)
  • Lecture meetings: Nov 13, 14, 17
  • Lab 2: Thu, Nov 13
  • Test 1: Tue, Nov 11
Week
4:
Applications of the Integral (cont'd): Arc length (Sect. 6.4). Work, moments, and center of mass (Sect. 6.5, 6.6)
  • Lecture mtngs: Nov 18, 20, 21, 24
  • Special Problem 2: Nov 18-19
  • Math movie: Wed, Nov 19
  • Quiz 3: Tue, Nov 18
  • Lab 3: Thu, Nov 20
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)
  • Lecture mtngs: Nov 25, Dec 1, 2, 4
  • Quiz 4: Tue, Nov 25
  • Lab 4: Thu, Dec 4
  • THANKSGIVING RECESS: NOV 26-28
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)
  • Lecture meetings: Dec 5, 9, 11
  • Quiz 5: Fri, Dec 5
  • Lab 5: Wed, Dec 11
  • Test 2: Mon, Dec 8
Week
7:
Techniques of Integration (cont'd): Integration by substitution (Sect. 8.1, 8.3, cont'd). Integration by parts (Sect. 8.4)
  • Lecture meetings: Dec 12, 15, 16
  • Special Problem 3: Dec 12-13
  • Quiz 6: Mon, Dec 15
  • Final Exam: Wed, Dec 17, 7-9 pm


[ How to Succeed ] . [ Homework Assignments ] . [ News ] . [ Special Problem Rules ] . [ Test Preview ] . [ Mathematicians' Biographies ]



[WPI HomePage] [ Department of Mathematical Sciences ] [ Back to Vadim Yakovlev's Prof Page ] [ Back to Vadim Yakovlev's Calculus Page ]


vadim@wpi.edu
Last modified: Fri, Nov 14, 2003