Calculus II (MA 1022-B23)
Department of Mathematical Sciences
Worcester Polytechnic Institute
Instructor: Prof. B.S. Tilley
Contact Information
Instructor: Prof. B.S. Tilley
Office: SL 405D
E-mail: tilley@wpi.edu
read between 9am-5pm.
Weekdays: reply within 24 hours
Weekends: reply within 48 hours
Web: https://users.wpi.edu/~tilley
Office Hours: Drop in and bring questions
MTR: 1:00-1:50pm or by appt.
PLAs:
Justin Shen
Mena Youssif
Course Description:
This course provides an introduction to integration and its applications. Topics covered include: inverse trigonometric functions, Riemann sums, fundamental theorem of calculus, basic techniques of integration, volumes of revolution, arc length, exponential and logarithmic functions, and applications. Recommended background: MA 1021. Although the course will make use of computers, no programming experience is assumed.
Locations:
Lecture: WB 229
Discussion: BD08: Portable Classroom
BD17: Portable Classroom
Times:
Lecture: MTRF 2:00-2:50pm
Discussion: BD17: M 3:00-3:50pm (Youssif)
BD08: T 3:00-3:50pm (Shen)
Student Bill of Rights (thanks to Chad Topaz, Williams College)
You deserve ....
To be addressed according to the name and pronouns you choose.
To be accepted and celebrated for who you are.
To be treated fairly, inclusively, and respectfully.
To be free from discrimination, harassment and violence.
To receive support overcoming barriers to learning.
To learn in a community that upholds academic integrity.
Text: Thomas' Calculus: Early Transcendentals 15th Edition, J.R. Hass, C.E. Heil, M.D. Weir, P. Bogacki, Pearson ISBN: 9780137559879, 0137559879
Additional Resource: Calculus - Volume I, Senior Authors: G. Strang and E.Herman, OpenStax (2016)
Course Objectives
At the conclusion of this course, students will be able to:
Find antiderivatives of a function
Use the Fundamental Theorem of Calculus for definite and indefinite integrals
Find the area of plane regions using integration
Use the techniques of substitution, integration by parts, trigonometric substitution, and partial fractions to evaluate indefinite integrals
Use integration to find volumes of revolution, arclength, and surfaces of revolution.
Find the moment and center of mass of a two-dimensional object.
Interpret and solve applied problems related to exponetial growth and decay.
Basic understanding of elementary techniques in numerical integration.
Pass a Basic Skills test administered by the Mathematics Department
Special Arrangements
If you need course adaptations or accommodations because of a disability, or if you have medical information to share with me, please make an appointment with me as soon as possible. My office location and office hours are listed above. If you have not already done so, students who believe that they may need accommodations in this class are encouraged to contact the Office of Accessibility Services (OAS) as soon as possible to ensure that these accommodations are implemented in a timely fashion. The OAS is in Unity Hall, (508) 831-4908. Students who need accommodations for exams are required to make the arrangements to take these exams at the Exam Proctoring Center (EPC) on the day of the exam.
Electronics Policy
All lectures (audio and video) are captured through course capture and can be found on the course Canvas page. NO recording of audio or video by students is allowed during lecture or during discussion. Laptops, phones, and tables should be turned off during the lecture and conference sessions. If you take notes (typing/stylus only) using these devices during lecture, then you should sit somewhere in the room where your screen activity is not distracting to your neighbors.
Course Organization
The class typically meets 5 times per week: 4 lectures on MTRF, 1 discussion section (M or T), and 1 laboratory section. Students are responsible for all material presented in lecture and discussion for exams. My expectations for these activities are
Lectures: This is the first opportunity for a student to see the material, and my expectation of students after a lecture is to have an introduction of the material, not to demonstrate mastery (i.e. Lehr). The goal is to give a high-level description of the main points of the topics, and to provide some examples illustrating the topic. These lectures are recorded via Echo 360, and these videos can be accessed through the course Canvas page.
Practice Problems: For each section, there is a list of suggested problems from the text for students to learn the concepts through doing (i.e. Kunst). Solutions to these problems are neither collected nor graded, but they form the main topics of discussion during the Discussion section. The problem selection is a combination of examples of the types of problems to be found on the exams and quizzes, along with problems that are more detailed and which enhance learning the topics at a deeper level.
Discussions: Students have an opportunity to sit down and work through the practice problems and WebWorK problems on a topic with an instructor and have their individual questions addressed. It is through the Discussion that the student can get major questions asked so that after Discussion, the student can continue to work through the practice problems to develop mastery.
Canvas: Course materials can be found on the Canvas page. The material is organized by topic, in the order presented in the text. In the event that lectures need to be delivered remotely, they will take place over Zoom.
Students are expected to spend an additional 8-12 hours per week studying outside of class: reading the text, organizing notes, and solving problems. In previous years, the average time, self-reported, spent outside of class on this course is 10 hours
Grade Breakdown
In-Lecture Exams 45%
Exam 1: November 7, 2023
Exam 2: November 27, 2023 Revised November 30. 2023
Final Exam: December 14, 2023
Part I: Basic Skills Test 5%
Part II: Comprehensive Exam 30%
WebWorK 10%
Labs: 10%
Final Grades
In general, final grades will follow the distribution:
90%-100% A
80%-89% B
70-79% C
0% - 70% NR
Graded Materials Description
Exams: There are two different types of exams that will take place over the term:
In-Lecture exams will take place during the normal lecture time on November 7, 2023 and November 20, 2023. They cover materials sectioned out on the Canvas page along with a summary found on the Lecture Schedule below.
The Final Exam will take place on December 14, 2023, 7:00 pm, and consists of two parts: (i) the Basic Skills Test which students must pass in order to pass the course (ii) a comprehensive exam.
WebWorK: There will be assignments using this online tool to understand your basic knowledge of the topics for that day's lecture. You receive full credit for correct answers, independent of the number of attempts made. The assignments are given in three stages based on the exam dates. Each problem is equally weighted (1 point per problem is a perfect score). These assignments need to be completed by their due date.
Labs: During this term, students will attend 3 in-person lab sessions. In each session, a short lecture will be presented, and then you will have time to start working on the lab assignment in groups of two or three. The lab assignments extend the ideas presented in lecture as well as explore applications of the material using a variety of software.
All logistical information related to the labs may be found on the Calculus 2 Lab Canvas site for your section.
The dates of the in-person sessions are,
Lab 1: Wednesday November 1st and Thursday November 2nd. Due 11am Nov. 8th
Lab 2: Wednesday November 15th and Thursday November 16th. Due 11am Nov. 21st
Lab 3: Wednesday November 29th and Thursday November 30th. Due 11am Dec. 6th
All questions/ concerns related to the labs should be directed to the lab instructors :
Jane Bouchard bouchard@wpi.edu
Caroline Labenski clabenski@wpi.edu