Calculus 2 Homework Problems For 2


  • Mona Merling
  • Email: mmerling(at)math(dot)jhu(dot)edu
  • Office hours: Wednesdays 2–4 at Krieger 311 or by appointment.


  • MWF 10:00–10:50 (Sections 1, 2, 3, 4) at Krieger 205
  • MWF 11:00–11:50 (Sections 5, 6, 7, 8) at Krieger 205


(3rd Edition) Claudia Neuhauser, Prentice Hall


You will need an iClicker 2, which you should bring to every class. Here is a link with comprehensive information on clickers provided by the JHU Center for Educational Resources. Please register your clicker on blackboard; here are the instructions.




TimeTARoomOffice Hours
1Tuesdays at  1:30pmDiego Espinoza (despino5)Krieger 300 W 12-1, Krieger 207
2Tuesdays at  3pmAlex Grounds (aground1)Blmbrg 278Th 3-5, Krieger 207
3Thursdays at  3 pmCaleb Baechtold (cbaecht1)Blmbrg 278W 1-2:30, Krieger 207
4Thursdays at  4:30pmKenny Co (kco1)Maryland 217M 12-1, Krieger 207
5Thursdays at  3pmJunyan Zhu (jzhu26)Ames 235Th 11-1, Krieger 207
6Tuesdays at  4:30pmChenyun Luo (cluo5)Krieger 309 M 3-5, Krieger 207
7Tuesdays at  3pmChenyun Luo (cluo5)Remsen 101 M 3-5, Krieger 207
8Thursdays at  1:30pmJunyan Zhu (jzhu26)Maryland 114Th 11-1, Krieger 207



Homework will be posted each Friday in the course schedule below and will be due at the beginning of class the next Friday. You will receive the graded homework back in the following week's section. Sufficient practice in the homework is essential to master the material, so you are recommended to try to complete every assignment. You are allowed to work together and ask for help on the homework; however, you MUST write your own solutions. Copying is not acceptable.

You will be graded not only on your final answer, but also on the work that shows the process of how you obtained the answer. Richard Brown wrote a superb note on how to properly write up homework for this class, so that the writing process of the homework becomes a learning process, and also so that your reader can follow your thought process. The examples he gives are from math 106, so they should be familiar to you.

You must staple your homework, write your name and section number on it clearly, and write legibly. If your homework is too messy or illegible, the grader may choose not to grade it, and he may decide to take points off if the homework is not stapled.

No late homework will be accepted. On the other hand, you may miss up to two homework assignments without grade penalty, as the lowest two homework scores will be dropped from the final grade calculation. If you absolutely cannot make class, make sure someone hands in the homework for you, or make arrangements with the TA directly to get it to him before the due date.


There will be two in-class midterm examinations and a final exam.

  • Midterm 1: Monday, March 2 (week 6)
  • Midterm 2: Monday, April 13 (week 11)
  • Final: Wednesday, May 6 (finals week)

There will be no make-up exams. For excused absences, the grade for a missed exam will be a weighted average of the grades for all subsequent exams. Unexcused absences count as a 0. Documentation of illness etc. must be obtained from the Office of Academic Advising.

Class Attendance

I will not formally take attendance; however, you are encouraged to come to lectures. I will give short quizzes once in a while -- these will never be handed in; they are supposed to provide practice for the exams. Also, by attending lecture you will get a sense of what I consider important and that should help you know what to focus on studying for the exams. We will briefly talk about what to expect on each exam the class period before it takes place, so it is in your best interest to be there. If you have to miss class, you do not need to tell me; my best advice is to get notes and find out what you missed out on in class from someone who attended.

Class Rules

No cell phones and no computers, except for note taking.

Grading Scheme

The course grade will be determined as follows:

  • Homework: 10%
  • Midterm Exams: 25% each
  • Final Exam: 40%

Academic support

Check out the PILOT Learning program, and the webpage with information about academic support and tutoring. Furthermore, there is a math helproom in Krieger 213, and you are encouraged to make the best use of it.

Special Aid

Students with disabilities or other special needs who require classroom accommodations must first be registered with the disability coordinator in the Office of Academic Advising.  To arrange for testing accommodations the request must be submitted to the instructor at least 7 days (including the weekend) before each of the midterms or final exam.  You may make this request during office hours, after class or by sending an email to the instructor.

JHU Ethics Statement

The strength of the university depends on academic and personal integrity. In this course, you must be honest and truthful. Ethical violations include cheating on exams, plagiarism, reuse of assignments, improper use of the Internet and electronic devices, unauthorized collaboration, alteration of graded assignments, forgery and falsification, lying, facilitating academic dishonesty, and unfair competition.

Report any violations you witness to the instructor. You may consult the associate dean of students and/or the chairman of the Ethics Board beforehand. Read the "Statement on Ethics" at the Ethics Board website for more information.


The following is a list of worksheets and other materials related to Math 129 at the UA. Your instructor might use some of these in class. You may also use any of these materials for practice. The chapter headings refer to Calculus, Sixth Edition by Hughes-Hallett et al. Published by Wiley.

CHAPTER 7 - Integration

  • Derivative and Integral Rules - A compact list of basic rules.   pdf  doc
  • Trig Reference Sheet - List of basic identities and rules for trig functions.   pdf   doc
  • Recognizing Integrals - Similar looking integrals require different techniques. Determine if algebra or substitution is needed.   pdf   doc
  • U-Substitution - Practice with u-substitution, including changing endpoints.   pdf   doc
  • More Substitution - Substitution in symbolic form.   pdf   doc
  • Trig Substitution & Partial Fraction - These problems cannot be done using the table of integrals in the text.   pdf   doc
  • More Trig Sub & Partial Fractions - These problems should be done without the use of a table of integrals.   pdf   doc
  • Integral Table - Table of integrals.   pdf
  • Complete Square & Division - Algebra review of completion of the square and long division of polynomials.   pdf  doc
  • Integration Tables - Manipulate the integrand in order to use a formula in the table of integrals.   pdf   doc
  • Integration Techniques - A collection of problems using various integration techniques.   pdf   doc
  • Estimation Rules - Illustrating and using the Left, Right, Trapezoid, Midpoint, and Simpson's rules.   pdf   doc
  • More Estimation - Another worksheet illustrating the estimation of definite integrals.   pdf   doc
  • Intro to Improper Integrals - Introduction to evaluating an improper integral.   pdf   doc
  • Improper Integrals - Recognizing an improper integral and using a value of an integral to find other values.   pdf   doc
  • Intro to Comparing Improper Integrals - General relationships between functions and the idea behind comparison.   pdf   doc
  • Improper Integrals by Comparison - Using comparison to prove an integral converges/ diverges.   pdf   doc
  • Improper Integrals by Comparison - Additional practice. Antiderivatives cannot be expressed in closed form.   pdf   doc
  • Evaluating Limits - Additional practice. Evaluating limits. L'Hopital's Rule.   pdf   doc

CHAPTER 8 - Using the Definite Integral

  • Intro to Slicing - How slicing can be used to construct a Riemann sum or definite integral.  pdf   doc
  • Slicing a Solid - Additional practice. Slicing a solid in two ways to find volume.  pdf
  • Geometry - Additional practice. Find area, volume, and length. Includes using density.  pdf   doc
  • More Geometry - Additional practice. More applications to geometry.  pdf   doc
  • Density and Mass - Using density and slicing to find mass.  pdf   doc
  • Physics - Additional practice. Problems involve work.  pdf   doc
  • More Work - Additional practice. More problems involving work.  pdf   doc

CHAPTER 9 - Sequences and Series

  • Geometric Series - Additional practice with geometric series.  pdf   doc
  • Integral Test - Using the integral test to determine if series converge.  pdf   doc
  • Convergence Tests - Additional practice using convergence tests.  pdf   doc
  • More Convergence Tests - A summary of the available convergence tests.  pdf   doc
  • Power Series - Working with power series.  pdf   doc
  • More Power Series - Additional practice finding radius and interval of convergence.  pdf   doc

CHAPTER 10 - Approximating Functions Using Series

  • Taylor Polynomials & series - How well do Taylor polynomials approximate functions values?  pdf   doc
  • Series Table - List of Taylor Series for basic functions.   pdf
  • Using Taylor Series - Different ways to use Taylor series.  pdf   doc
  • Taylor Series - Additional practice.  pdf   doc
  • More Taylor Series - Collection of problems using Taylor series.  pdf   doc
  • More Taylor Series - Additional practice.  pdf   doc
  • Complex Numbers - Algebra of complex numbers and Euler's Form.   pdf   doc

CHAPTER 11 - Differential Equations

  • Slopefields - Matching slopefields with differential equations.  pdf
  • Separable Variables - Using the method of separation of variables to solve differential equations.  pdf   doc
  • Differential Equations - Collection of applications.  pdf   doc
  • Models - Comparing various models including Logistic.  pdf   doc

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