I n s t r u c t o r :
Office: SH104C Phone: x5495 E-mail: vadim@wpi.edu E-mail: vuppununthala@wpi.edu Office: SH014 |
Office hours:
Thu: 12:00-1:00 pm; Fri: 12:00-1:00 pm; and by appointment Thur: 1:00-2:00 pm; and by appointment |
---|
Upon completing the course you'll be able to evaluate indefinite and definite integrals using substitutions or integration by parts technique.
General InformationText: 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:
|
Grading Scheme:Computer Labs (15%, 6 x 2.5% each), |
---|
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.)
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 LabsThe 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):
![]() |
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 & QuizzesAlternatively, 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.
TestsTwo 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.
![]() |
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). |
---|
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.
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 & HelpIn 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 CenterThe 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.
MASHThe 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:
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 DishonestyWPI'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.
Week 1: |
Antiderivatives (4.8). The definite integral (5.1, 5.2). |
|
---|---|---|
Week 2: |
The definite integral (cont'd) (5.3). The Fundamental Theorem of Calculus (5.4) |
|
Week 3: |
Substitution for indefinite integrals (5.5). Areas of plane regions. Substitutions in definite integrals (5.6). Volumes via cross sections (6.1) |
|
Week 4: |
Arc length (6.3). Surfaces of revolution (6.4). Moments and centers of mass (6.6) |
|
Week 5: |
The natural logarithm as an integral (7.1). Exponential growth and decay (7.2). |
|
Week 6: |
Basic techniques of integration: substitution (8.1), integration by parts (8.2), trigonometric integrals (8.3), trigonometric substitutions (8.4). |
|
Week 7: |
Integration by partial fractions (8.5). Numerical integration (8.7) |
|
![]() |
[ Department of Mathematical Sciences ] | [ Back to Vadim Yakovlev's Prof Page ] | [ Back to Vadim Yakovlev's Calculus Page ] |
---|