Calculus II
Fra Luca Pacioli 
with Mathematical Instruments
C'06 Course Information

MA1022 Mon, Tue, Thu, Fri

Sections C01 to C05, 1:00 pm, Atwater Kent 116



How to Succeed Homework Assignments News 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: 3:00-3:50 pm;
and by appointment
Conferences (on Tuesdays):
C01: 9:00-9:50 am (SH309)
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)



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. Early Transcendental Version by C.H. Edwards and D.E. Penney, 6th Edition, 2003.

Web Site: http://www.wpi.edu/~vadim/Calc_II/C06_Info.html

Course Structure:
Main Topics:
  • The Integral
  • Applications of the Integral
  • Techniques of Integration
  • Introduction to Differential Equations
Grading Scheme:
Computer Labs (18%, 6 x 3% each),
Quizzes (30%, 6 x 5% each),
Two Tests (32%, 16% each),
Final Exam (20%)
.
Quizzes and tests will have their own 30 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 and Help Sessions

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):
Tuesdays: 9 am to 1 pm, 3 to 4 pm
Office Hours (SH205):
Mondays: 10 to 11 am
Fridays: 10 to 11 am
Charles Gammal & Xinjia Liu (PLAs)

Help Sessions:
Wednesdays (SH309): 4 to 5 pm
Sundays (AK219): 7 to 9 pm

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 Mondays at 9:00 am (C01), 10:00 am (C02), 11:00 am (C03), 12:00 noon (C04), and 3:00 pm (C05):

Math Instruments 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

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.

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 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.

To evaluate 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 the beginning of the lecture meeting in accordance with the Schedule of Events below.

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.

Two intermediate Tests and Final Exam will cover the course's main topics. The Test Preview page will give you clear ideas about the contents of the Tests: corresponding information will be posted there approximately 2 days before the event - see Schedule of Events below.

Bonus Points and Other Policies

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.

The tests and the Final are closed-book-and-closed-notes events. Calculators are NOT allowed to use - because they are not need for any of the test/exam problems.
Remember that when solving your tests and working on your homework problems, you have to show all work on paper. Calculator (used at home) may be a tool to check your solution rather than the mean to get it. Evaluations of mathematical expressions, derivatives, and integrals, 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.)


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.



Schedule of Events

Week
1:
The Integral: Antiderivatives. Initial value problems; motion (5.2). Elementary area computations (5.3). The definite integral (5.4)
  • Lecture meetings: Jan 12, 13, 16, 17
  • Lab 1: Mon, Jan 16
  • Quiz 1: Tue, Jan 17
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)
  • Lecture meetings: Jan 19, 20, 23, 24
  • Quiz 2: Tue, Jan 24
  • Lab 2: Mon, Jan 23
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)
  • Lecture meetings: Jan 26, 27, 31
  • Lab 3: Mon, Jan 30
  • Test 1: Mon, Jan 30
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)
  • Lecture meetings: Feb 2, 3, 6, 7
  • Quiz 3: Thur, Feb 2
  • Lab 4: Mon, Feb 6
Week
5:
Applications of the Integral (cont'd): The natural logarithm (6.7). Inverse trigonometric functions and their derivatives (6.8)
  • Lecture meetings: Feb 9, 10, 13
  • Quiz 4: Thur, Feb 9
  • Lab 5: Mon, Feb 13
  • Test 2: Tue, Feb 14
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)
  • Lecture meetings: Feb 17, 20, 21, 23
  • Quiz 5: Fri, Feb 17
  • Lab 6: Mon, Feb 20
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)
  • Lecture meetings: Feb 24, 27, 28
  • Quiz 6: Mon, Feb 27
  • Final Exam: Thur, March 2


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Last modified: Wed, Jan 25, 2006