University of Rhode Island      Department of Mathematics

MTH 142   Calculus II

Intermediate Calculus with Analytic Geometry


                    M-Th 10am-12:30pm      Chafee Hall 219

Instructor  Dr. Mark Comerford
Office  Lippitt 102 F
Phone  874 5984
Office Hours
 Monday 2-4pm
 or by appointment
Text  Hughes-Hallet, et. al., Calculus (Seventh Edition)
Prerequisites  MTH 141 or equivalent

A link to the syllabus can be found here while a link to a detailed course calendar can be found here

Lectures and Homework Problems

Clicking on the section in the table below will bring up the scanned notes for that section.

Reading Problems
7.1 Integration by Substitution 3, 7, 11, 13, 19, 21, 23, 27, 29, 31, 35, 37, 39, 41, 57, 61, 67,128,129
7.2 Integration by Parts 3, 5, 9, 11, 15, 17, 21, 27, 29, 33-39 odd, 46, 51, 55
7.3 Tables of Integrals 3, 7, 13, 17, 19, 29
7.4 Part I: Partial Fractions 1-7 odd, 8-14 even, 15-19 odd, 39, 43, 48, 49
7.4 Part II: Trigonometric Substitution 21-24, 31, 35, 55-59 odd
7.5 Numerical Integration 1-11 odd, 13,14,16,19-22
7.6 Improper Integrals 5-15 odd, 23-31 odd
7.7 Comparison of Improper Integrals 1-9 odd, 13-21 odd, 26
8.1 Area, Volume 5-11 13-18, 34
8.2 Applications to Geometry,
Arc Length
5-11 odd, 18, 19, 25-27, 41-45
8.3 Polar Coordinates 1-7 odd, 17, 24, 28, 31
8.4 Density and Centre of Mass 1, 3, 8, 13, 15, 26, 29
8.5 Physics Applications 1, 3, 7, 10, 13, 17, 23, 28
8.7, 8.8 Probability Distributions 8.7 1-9, 17, 19, 21, 22
8.84, 6, 7, 8, 10
9.1 Infinite Sequences 1-25 odd, 29-31, 41-45, 53
9.2 Geometric Series,
9.3 Convergence of Series
9.2 9-17 odd, 19-27 odd, 34, 40  
9.3 5-11, 13-33 odd, 37
9.4 Tests for Convergence 5-23 odd, 27-35 odd, 39-43 odd, 61-77 odd
9.5 Power Series 5-7, 11-15, 27-31
10.1 Taylor Polynomials 1-9 odd, 13-19 odd, 22,29
10.2 Taylor Series 1, 5, 7, 9, 13-23 odd, 35-39 odd, 44
10.3 Finding and Using Taylor Series 1-11 odd, 12, 14
10.4 The Error in Taylor Polynomial Approximations 1-6, 10, 11
10.4 Fourier Series 1-6, 10, 11
11.1 Differential Equations - Introduction 1-5, 7, 15, 16, 19, 20
11.2 Slope Fields,
11.3 Euler's Method
11.2 3-8,17,18  
11.3 1, 5, 7, 8
11.4 Separation of Variables 1-5 odd, 9-15 odd, 21-25 odd, 45



Christopher Staniszewski has prepared mini-lectures on topics related the course. Each lecture is between five and ten minutes long. Completing the Square


Important for Wiley Plus!

Before you register for your section, you must have a valid registration code. You then go to registration for our section.

Once you go to your Class Section URL, click on ``register.'' Watch the registration tutorial if you need help.

WileyPlus informational flyer. (PDF)


Exam I  Tuesday, May 28      Covers 7.1 - 7.7
Exam II  Monday, June 10      Covers 8.1 - 9.5
Final  Thursday June 20     Covers all class material

The following policies apply to all exams, and no exceptions will be made.

You must have a URI Photo ID with you to take an exam.
No books, bags, papers, extra scrap paper, or anything else may be taken with you to your seat. If you bring any of these items with you, you must leave them at the front of the room.
No calculators of any kind are permitted on exams.
No cellphones, MP3 players, or any electronic devices of any kind may be used or even accessible to you at any time during the exam. Failing to abide by this policy will be considered an attempt at cheating.
You may not ask any questions during the exam; understanding the questions is a part of the exam. If you think there is a typo or error, do the best that you can with the given information.
You may not leave the room during the exam. Remember to use the bathroom before the exam. If you leave the room for any reason, your exam will be collected.
Once finished, you must hand your exam to a proctor (your instructor, if in the room) and show your URI photo ID.
You are advised to bring multiple pencils to the exams, just in case. Do NOT use a pen.
Final Exam. The final exam will be multiple choice, and as such there will be no partial credit of any kind on the final exam.


Exam I    100 pts
Exam II    100 pts
Final    200 pts
Quizzes    150 pts
WileyPlus   150 pts
Total    700 pts

Final Grade Calculation

Your total score out of 800 will be divided by 8 and the resulting score out of 100 will determine your grade: A 93 - 100, A- 90 - 93, B+ 87 - 90, B 83 - 87, B- 80 - 83, C+ 77 - 80, C 73 - 77, C- 70 - 73, D+ 67 - 70, D 60 - 67, F < 60.

SI and Tutoring

Consider first coming to office hours. You can also visit the Academic Enhancement Center, either for a walk-in session or by making an appointment. The schedule for the AEC walk-in tutoring can be found here.

Introductory Course Description

This second course in calculus assumes that you know and can use the basic ideas covered in MTH 141.  As in MTH 141, we will approach new ideas and problems from algebraic, graphical, and numerical points of view.

How to succeed in MTH142

Spend about 8 hours per week, outside of class, working on problems, reading the text, and working on other projects. Sometime during the first week of class, set up your weekly schedule so that specific days and times are reserved for working out math problems.

  • Buy a notebook where you will write solutions to all the recommended problems.
  • Save all quizzes, handouts, and any other work. Use them to prepare yourself for tests.
  • Establish a group of fellow students to work with.
  • Come to class every time!  Skipping class, even only a couple of times, will translate into a lower course grade.
  • If you come to office hours, make sure you bring your work.
  • The Academic Enhancement Center, AEC, located on the 4th floor of Roosevelt Hall can help students.  Call 874-2367, or stop by the 4th floor of Roosevelt Hall for more information.
  • Goals and Objectives

    The goals of the course are to have you develop symbol manipulation skills, mathematical modelling skills, skills in the use of technology to treat mathematical problems, an understanding of the language of calculus, and an appreciation for the uses of calculus in the sciences.

    At the conclusion of this semester you should be able to:

    1. Calculate integrals using a variety of algebraic and numerical techniques.

    2. Solve problems in geometry, physics and probability using integrals.

    3. Solve first order ordinary differential equations by graphical, numerical and algebraic techniques, and to set up mathematical models for problems in the sciences.

    4. Calculate approximations to functions using the concepts of Taylor expansions.

    5. Determine properties of convergence of numerical and power series.

    6. Treat problems involving modeling, algebraic calculations and numerical calculations by using technology (Mathematica, graphing calculators).


    Graphing calculators will not be used in this course and will not be permitted on exams.

    Attendance, Quizzes, Homework

    Policy on attendance, quizzes and homework will be announced in class. Also, check the FAQ (frequently asked questions) section of the course's web site, where you will find information about Incomplete Grade, Second Grade Option, etc.

    Special Accommodations

    Students who need special accomodations and who have documentation from Disability Services should make arrangements with their instructor as soon as possible. Students should conact Disability Services for Students, Office of Student Life, 330 Memorial Union, 874-2098.