Calculus II
Fra Luca Pacioli 
with Mathematical Instruments
MA1022 B'19

Lectures - Mon, Tue, Thur, Fri: Sections B08Y (2:00 pm, SH202) & B09Y (3:00 pm, SH106)

Conferences - Wed: Sections B08Y (9:00 am, SH106) & B09Y (11:00 am, SH106)




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
Graduate Learning Assistant:
Vamshi Krishna Uppununthala
E-mail: vuppununthala@wpi.edu
Office: SH014
Office hours:
Mon: 4:00-5:00 pm;
Thu: 12:00-1:00 pm;
Fri: 12:00-1:00 pm;
and by appointment
Office hours:
Tue: 1:00-2:00 pm;
Thur: 1:00-2:00 pm;
and by appointment


Course Information

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: G.B. Thomas, Jr., M.D. Weir, and J. Hass, Thomas' Calculus. Early Transcendentals, 14th Ed., 2018.

Web Site: http://www.wpi.edu/~vadim/Calc_II/B19_Info.html

Course Structure:
Main Topics:
  • The Integral
  • Applications of the Integral
  • Techniques of Integration
Grading Scheme:
Computer Labs (15%, 6 x 2.5% each),
Quizzes (30%, 5 x 6% each),
Tests (30%, 2 x 15% each),
Final Exam (25%)
.

Point ranges derived to percent for grades are given by: A: 100 - 90%; B: 90 - 80%; C: 80 - 70%; NR: 70. Quizzes and tests have their own 30 and 100 point scores respectively. The perfect scores correspond to the presented percentages. (Scores of the Final Exam are to be announced.)

Conferences

Conference meetings are held once a week to facilitate your learning and help you with homework. The conferences are run under the guidance of Vamshi Krishna Uppununthala, the GLA in this course.

Computer Labs

The labs are arranged to let you learn more about Maple Computer Algebra System and its use in the problem related to the Integral Calculus. There are 6 meetings in the Computer Lab (SH003) (see Calendar of Events):

Math Instruments Lab 1: Rectangular Approximation
Lab 2: Definite Integral
Lab 3: Area and the Definite Integral
Lab 4: Volumes of Revolution
Lab 5: Center of Mass
Lab 6: Exponents, Logarithms, and Inverses

Each Maple project should be completed and turned in during the same lab period in which it is introduced. The work will be done under the guidance of the Maple Instructor Assistants working in this course.

Home Work & Quizzes
Practice problems are given for each topic covered - assigned problems can be found in Homework Assignments section. Essential feature of this course: homework papers are not handed in, and it is expected that each student will take a personal responsibility for doing efficient and sufficient study/practice.

Alternatively, to evaluate your course progress, five 15-minute quizzes are offered throughout the course. The quiz problems are chosen from the homework assignments made in a few preceding classes. The quizzes are held in the beginning of the lecture meetings in accordance with the Calendar of Events below.

IMPORTANT: a reproduction of only final answers in the quiz paper gives you no credit; you'll need to show complete solutions including intermediate steps and shown in full math notation.

Tests

Two intermediate Tests and the Final Exam cover the course's main topics. The Tests are scheduled for the days following the lecture consideration of the topics discussed in several preceding classes.

No laptops, gadgets, tablets, etc. are allowed at the tests. Calculators are also not allowed; they in fact cannot provide any help for any of the test/exam problems.
Test

The web Test Preview should give you clear ideas about the test contents; general info, instructions, and sample problems are posted there two days before the event. Also, special Test Preview Help Sessions (run by the GLA) take place prior to each Test/the Final Exam (see Calendar of Events).


Bonus Points and Other Policies

There are opportunities to earn bonus points. Each intermediate Test will include a bonus problem. Also, you may get bonus points for your excellent work in the quizzes at the instructor's discretion.

When solving your tests and working on your homework problems, remember that you are expected to SHOW ON PAPER ALL WORK IN FULL MATH NOTATION. Therefore, a calculator used at home may serve as a tool to check your results rather than the means to get them. Evaluations of mathematical expressions, derivatives, integrals, etc. obtained using advanced calculators, computer algebra systems (Maple, MATLAB, etc.), or some web engines will not be accepted.

IMPORTANT: No make up of the missed Test/Quizzes will be given without a legitimate reason. That could be an illness or other unavoidable emergency which you can document.

Additional Resources & Help

In addition to instructor's office hours, the GLA holds his own office hours (see the table above for details). You're encouraged to use this opportunity for individual discussions/interactions aiming to assist in learning and understanding the meanings of the course's conceptual and practical points.

Mathematics Tutoring Center

The Mathematics Tutoring Center (SH002) is available for any WPI student taking a math course; it could be an invaluable source of additional help with troubles and issues in this course. No appointment needed, just come by: Mondays to Thursdays, 10:00 am to 7:00 pm; Fridays, 10:00 am to 2:00 pm.

MASH

The Academic Resources Center also holds Math and Science Help (MASH) for MA1022. The MA1022 MASH Leader this term is Katherine Gomes; she is available as follows:

Adaptations & Accommodations
If you need course adaptations or accommodations because of a disability, or if you have medical information that may impact your performance or participation in this course, please make an appointment with your instructor as soon as possible. If you have approved accommodations, request the letters on-line through the Office of Disability Services' Student Portal.

If you have not already done so, students with disabilities who need to utilize accommodations in this class are encouraged to contact the Office of Disability Services (ODS) as soon as possible to ensure that such accommodations are implemented in a timely fashion. This office can be contacted via email (DisabilityServices@wpi.edu), via phone: (508) 831-4908, or in person: 124 Daniels Hall.

Academic Dishonesty

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 https://www.wpi.edu/about/policies/academic-integrity/dishonesty; each student is expected to familiarize him/herself with this info. All acts of fabrication, plagiarism, cheating, and facilitation will be prosecuted according to the university's policy. If you are ever unsure as to whether your intended actions are considered academically honest or not, please see your instructor.


Recommendations of your predecessors (i.e., the students who took my MA1022 course earlier) provide you with explicit guidelines how to survive in this course.

Syllabus & Calendar of Events

Week
1:
Antiderivatives (4.8). The definite integral (5.1, 5.2).
  • Lecture meetings: Oct 22, 24, 25, 28
  • Conferences: Oct 23
  • Lab 1: Oct 23, 24
Week
2:
The definite integral (cont'd) (5.3). The Fundamental Theorem of Calculus (5.4)
  • Lecture meetings: Oct 29, 31, Nov 1, 4
  • Conferences: Oct 30
  • Lab 2: Oct 30, 31
  • Quiz 1: Tue, Oct 29
Week
3:
Substitution for indefinite integrals (5.5). Areas of plane regions. Substitutions in definite integrals (5.6). Volumes via cross sections (6.1)
  • Lecture meetings: Nov 5, 7, 11
  • Conferences: Nov 6
  • Lab 3: Nov 6, 7
  • Quiz 2: Thur, Nov 7
  • Test Preview: Thur, Nov 7 (4-5 pm, SH309)
  • Test 1: Fri, Nov 8
Week
4:
Arc length (6.3). Surfaces of revolution (6.4). Moments and centers of mass (6.6)
  • Lecture meetings: Nov 12, 14, 15, 18
  • Conferences: Nov 13
  • Lab 4: Nov 13, 14
  • Quiz 3: Mon, Nov 18
Week
5:
The natural logarithm as an integral (7.1). Exponential growth and decay (7.2).
  • Lecture meetings: Nov 19, 21, 22
  • Conferences: Nov 20
  • Lab 5: Nov 20, 21
  • Test Preview: Sun, Nov 24 (2-3 pm, SH106)
  • Test 2: Mon, Nov 25
Week
6:
Basic techniques of integration: substitution (8.1), integration by parts (8.2), trigonometric integrals (8.3), trigonometric substitutions (8.4).
  • Lecture meetings: Nov 26, Dec 2, 3, 5
  • Conferences: Dec 4
  • Lab 6: Dec 4, 5
  • Quiz 4: Mon, Dec 2
Week
7:
Integration by partial fractions (8.5). Numerical integration (8.7)
  • Lecture meetings: Dec 6, 9, 12
  • Conferences: Dec 11
  • Quiz 5: Mon, Dec 9
  • Test Preview: Wed, Dec 11 (3-4 pm, SH202)
  • Final Exam: Thur, Dec 12 (7-9 pm)


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Last modified: Tue, Oct 22, 2019