University of Rhode Island      Department of Mathematics

MTH 142  Calculus II
Section 0004

Intermediate Calculus with Analytic Geometry


                    TTh 12:30-1:45pm      Washburn 220
                             W   12pm      Lippitt 205

Instructor  Dr. Mark Comerford
Office  Lippitt 102 F
Phone  874 5984
Office Hours
 Monday 2-5pm
 or by appointment
TA  Erin Farrell
Office  Lippitt 102J
Phone  874 5594
TA Office Hours
 M 12-3pm
Text  Hughes-Hallet, et. al., Calculus (Fifth Edition),
 ISBN 0470089148
Prerequisites  MTH 141 or equivalent

A link to the common MTH 142 webpage may be found here while a link to the common syllabus and schedule 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 3-35 odd, 47-65 odd, 69, 77, 79, 95, 103
7.2 Integration by Parts 7-25 odd, 31, 33, 37, 39, 47, 49
7.3 Tables of Integrals 7, 11, 13, 17, 21, 29, 30, 34
7.4 Part I: Partial Fractions 1-5, 8-12, 16
7.4 Part II: Trigonometric Substitution 20, 21, 23, 30, 51, 55
7.5, 7.6 Numerical Integration 7.5 1-6, 9, 11, 15-19
7.6 2, 3, 5, 6
7.7 Improper Integrals 5, 7, 9, 12, 13, 14, 17, 23, 25, 27, 38, 39
7.8 Comparison of Improper Integrals 1-13 odd, 14, 19, 20, 22, 25, 28
8.1 Area, Volume 3-11 odd, 14
8.2 Volumes of Revolution,
Arc Length
1-7 odd, 23, 27a, 28, 29, 31, 35
4.8, 8.2 Parametric Curves and
Arc Length
4.8 5-7, 18, 21, 35
8.2 11, 12, 14, 17, 18, 25
8.3 Polar Coordinates 4, 7, 9a-c, 17, 18, 24, 29, 32, 36, 40
8.4 Density and Centre of Mass 1, 3, 11, 21, 25, 28
8.5 Physics Applications 1, 3, 7, 10, 13, 17, 23, 28
8.7, 8.8 Probability Distributions 8.7 1, 5-9, 12, 13, 17, 18
8.8 5-8,11, 15a
9.1 Infinite Sequences 1-31 odd
9.2 Geometric Series,
9.3 Convergence of Series
9.2 1-21 odd, 24, 36  
9.3 1-25, 35, 37
9.4 Tests for Convergence 1-35 odd, 52-60
9.5 Power Series 1-25 odd, 32, 41
10.1 Taylor Polynomials 1-15 odd, 21, 23, 29
10.2 Taylor Series 1-17 odd, 34-36
10.3 Finding and Using Taylor Series 1-11 odd, 16, 17, 22, 23
10.4 The Error in Taylor Polynomial Approximations 1-6, 10-11,13,14
11.1 Differential Equations - Introduction 1-17 odd
11.2 Slope Fields,
11.3 Euler's Method
11.2 3, 4, 5, 7, 9   
11.3 1, 3, 4, 7
11.4 Separation of Variables 1,5,11,12, 15, 21, 23, 28, 33, 41
11.5 Growth and Decay 3, 5, 6, 7, 8, 14
11.7 Population Growth 3, 5, 11


There are now solutions for Worksheet1, Worksheet2, Worksheets3, 5, 6, Worksheet4, Worksheet7, Worksheet8, Worksheet 9 , Worksheet10 and Worksheet11.

A review sheet with old questions for Exam 2 (together with solutions) can be found here.

A review sheet with old questions for Exam 3 (together with solutions) can be found here.

Important for Wiley Plus!

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

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

WileyPlus informational flyer. (PDF)


There will be a Gateway Derivative Quiz on Thursday January 26, 2012 ). If you fail the gateway exam the first time, you will have the opportunity to take a second attempt at a time (during the evening) to be announced. If you do not eventually pass the quiz, 50 points will be dropped from your overall grade at the end of the term. Passing the derivative quiz means getting at least 7 problems right out of 10! In the quiz you will only be required to apply the differentiation rules (including the chain rule) and you won't be asked to simplify your answer.

Exam I  Thursday February 23, 7-8:30pm
  CBLS 100     Covers TBA
Exam II  Thursday March 22, 7-8:30pm
  CBLS 100     Covers TBA
Exam III  Thursday April 19, 7-8:30pm
  CBLS 100     Covers TBA
Final  Monday May 7, 11:30am-2:30pm
  CBLS 100     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.
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
Exam III    100 pts
Final    200 pts
Gateway Exam    0 pts OR - 50 pts
Classwork    100 pts
WileyPlus    100 pts
Mathematica    100 pts
Total    800 pts


The first Mathematica assignment is due on Tuesday April 10 and can be found here. The second Mathematica assignment is due on Thursday April 26 and can be found here.

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.


Consider first coming to the office hours of either Professor Comerford or Erin Farrell. 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 . The AEC also offers Supplemental Instruction (SI) for this class which is held on Mondays from 7:30-9pm in Bliss 205 (Parker), Wednesdays from 7 - 8:30pm in Bliss 305 (Evan) and Thursdays from 4-5:30pm in Quinn 103 (Parker). Finally, there is tutoring in the Math Dept which is led by tutors at the AEC and mathematics graduate students. This will be in Lippitt 205 from 1-9pm on Mondays - Thursdays and in Lippitt 103 from 10am-1pm on Fridays.

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 and Fourier expansions.

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

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

    Mathematica for Math 142

    There will be three Mathematica projects assigned during the semester. Information about these projects can be found through the Mathematica link here.


    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.