# Calculus 2 Homework Problems For 2

### Instructor

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

### Lectures

- 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

### Textbook

(3^{rd} Edition) Claudia Neuhauser, Prentice Hall

### Clickers

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.

### Sections

| Time | TA | Room | Office Hours |

1 | Tuesdays at 1:30pm | (despino5)Diego Espinoza | Krieger 300 | W 12-1, Krieger 207 |

2 | Tuesdays at 3pm | (aground1)Alex Grounds | Blmbrg 278 | Th 3-5, Krieger 207 |

3 | Thursdays at 3 pm | (cbaecht1)Caleb Baechtold | Blmbrg 278 | W 1-2:30, Krieger 207 |

4 | Thursdays at 4:30pm | (kco1)Kenny Co | Maryland 217 | M 12-1, Krieger 207 |

5 | Thursdays at 3pm | (jzhu26)Junyan Zhu | Ames 235 | Th 11-1, Krieger 207 |

6 | Tuesdays at 4:30pm | (cluo5)Chenyun Luo | Krieger 309 | M 3-5, Krieger 207 |

7 | Tuesdays at 3pm | (cluo5)Chenyun Luo | Remsen 101 | M 3-5, Krieger 207 |

8 | Thursdays at 1:30pm | (jzhu26)Junyan Zhu | Maryland 114 | Th 11-1, Krieger 207 |

### Homework

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.

### Exams

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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