Math 142: Calculus II, Spring 2020

University of Rhode Island

Course Description and Goals

Math 142 continues the study of calculus where Math 141 left off. Topics include techniques and applications of integration, improper integrals, calculus using polar coordinates, sequences and series, Taylor polynomials, and differential equations.

The primary aim of Math 142 is to prepare students for further study in mathematics, basic sciences, or engineering by introducing them to techniques of integration, sequences, and series, and how to apply these to solve real-world problems and thereby develop new problem solving and critical reasoning skills. The course goals are:


Calculus: Single Variable, 7th edition

Deborah Hughes-Hallett, Andrew Gleason, William McCallum, et al.

ISBN: 1119379334
ISBN-13: 978-1119379331

You will need a WileyPLUS access code!

This comes with new textbooks in the bookstore. If you have a code from Math 141, it will still work. You can also buy a code directly from Wiley.

Course Schedule

An approximate schedule for the semester may be found here.

Course Sections

Sec.InstructorMeeting TimesClassroom
0001Ben LantzT/Th 8:00-9:15; M 8:00-8:50Lippitt 204
0002Greg LeclercT/Th 8:00-9:15; M 8:00-8:50Lippitt 205 (T/Th), Engineering 045 (M)
0003Ayse SharlandT/Th 9:30-10:45; W 9:00-9:50Lippitt 204
0004Nikolas TownsendT/Th 9:30-10:45; W 9:00-9:50Swan 305 (T/Th), White 113 (W)
0005Jake SmithT/Th 11:00-12:15; W 11:00-11:50Ballentine 114 (T/Th), Lippitt 204 (W)
0006Bill KinnersleyT/Th 11:00-12:15; W 11:00-11:50Swan 306 (T/Th), Lippitt 205 (W)
0007Ayse SharlandT/Th 12:30-1:45; W 12:00-12:50Pastore 234 (T/Th), Lippitt 204 (W)

Online Mini-Lectures

The following videos give brief explanations of topics related to the course.

Prerequisite review

Completing the Square (Needed for Section 7.4; thanks to Chris Staniszewski)

Polynomial Long Division (Needed for Section 7.4; thanks to Chris Staniszewski)

Limits of Rational Functions (Needed for Sections 7.6, 9.4)

Supplementary videos

Triangles and Trig Substitution (Supplement for Section 7.4)

Partial Fractions (Supplement for Section 7.4)

Improper Integrals (Supplement for Section 7.6)

Graphing Polar Equations and polar axes (Supplement for Section 8.3)

Work (Supplement for Section 8.5)

Fourier Series (Supplement for Section 10.5)

How to succeed in Math 142

Math 142 has a reputation for being a very challenging course, but you can succeed -- it just takes hard work and persistence. Here are some things you can do to help yourself out:


This semester, the math department is providing free walk-in tutoring every week, Monday through Thursday, in Lippitt 206 from 12-6 PM. Please take advantage of this!

The Academic Enhancement Center (AEC) also provides several free resources for students, including informal individual walk-in tutoring, weekly group tutoring, and general academic coaching. For more information on what the AEC can do for you, please check out their website.

For students who would like occasional individual help, but who can't make it to their instructor's office hours, the AEC employs trained tutors who will be glad to explain course material and answer questions. Walk-in tutoring is available on the Roosevelt 412 from 2-7 PM, Monday-Thursday.

Students seeking something more structured may be interested in the AEC's weekly tutoring groups. Tutoring groups are made up of 2-6 students and a trained tutor, who will meet on a weekly basis to discuss course material. This is a more structured environment than walk-in tutoring, and attendance is expected. Students who'd like to start a tutoring group should check out the AEC's website for more information.

Small groups of students may also make one-time appointments to meet with AEC tutors; refer to the AEC website for details.


The course grade will be based on online homework, section-specific coursework, three midterm exams, and a final exam.

Grade Breakdown
Online homework15%
Section-specifc coursework20%
Midterm exams40% (total, for all three exams)
Final exam25%
Grading Scale
A93.00% and above
A-90.00% - 92.99%
B+87.00% - 89.99%
B83.00% - 86.99%
B-80.00% - 82.99%
C+77.00% - 79.99%
C73.00% - 76.99%
C-70.00% - 72.99%
D+67.00% - 69.99%
D60.00% - 66.99%
F59.99% and below
Letter grade cutoffs may be lowered if deemed necessary (although this is not likely and should not be expected).


Homework for this course will be submitted through the online system WileyPLUS. WileyPLUS requires a registration code, which comes with each new copy of the textbook. If you wish to purchase a used textbook, you may also buy a registration key directly from Wiley. If you purchased the textbook last semester for use in Math 141, your registration key should still work for Math 142. You are responsible for registering for WileyPLUS in a timely fashion.

WileyPLUS Signup Links

0001Ben Lantz
0002Greg Leclerc
0003Ayse Sharland
0004Nikolas Townsend
0005Jake Smith
0006Bill Kinnersley
0007Ayse Sharland

Please work through each homework assignment as soon as possible after the relevant lecture! If you wait until the last minute, you risk running into technical problems that may keep you from finishing on time. In addition, working through the homework immediately will reinforce your understanding of the material and is a great way to study. You won't save any time by putting it off, so you might as well do it right away!

Late homework submissions will be accepted for two days after the deadline at a 20% penalty and through the end of the semester at a 50% penalty.


This class will have three midterm exams and one final exam, with the following dates, times, and locations. Each exam will consist entirely of free-response questions. (In past semesters, exams have used some multiple-choice questions, but that WILL NOT be the case this semester.)

Midterm #1Tuesday February 25, 6:30-8 PMEast Auditorium (sections 1, 4, 5 -- Lantz, Smith, Townsend);
Kirk Auditorium (sections 2, 3, 6, 7 -- Kinnersley, Leclerc, Sharland)
Midterm #2Tuesday March 31, 6:30-8 PMDelivered via Sakai
Midterm #3Tuesday April 21, 6:30-8 PMEast Auditorium (sections 1, 4, 5 -- Lantz, Smith, Townsend);
Pharmacy 170 (sections 2, 3, 6, 7 -- Kinnersley, Leclerc, Sharland)
Final ExamMonday May 4, 8-11 AMChafee 271

General Exam Policies

This semester, the second midterm will be administered through Sakai as part of an effort to slow the spread of COVID-19. The following policies apply to this exam:

Makeup Exam Policy

Makeup exams may be given for students who miss an exam due to an emergency or to an approved scheduling conflict (see below). Makeup exams must be scheduled after the original exam and will be administered as soon as is reasonably feasible.

If you miss any exam due to illness or emergency, you must contact your instructor within 24 hours. If you know that you will need to miss an evaluation due to religious observances or University-sanctioned events (including another class's exam), then you must contact your instructor at least 48 hours before the relevant evaluation.

In all cases, absences must be documented. Failure to provide documentation for an absence will result in a grade of zero for the exam.

Academic Accommodations

If you require academic accommodations and have documentation from Disability Services (874-2098), please get in touch with your instructor as soon as possible.

Math 142 Learning Outcomes

At the end of the course, the student should be competent in the following areas: