# Math 171 Calculus II

## Class Resources and Handouts

### Course Information

Meeting Times: Monday, Tuesday, Wednesday, and Friday, 8:00 - 8:50 am

Location: Hirt 213

Office Hours: Monday 2-3:30, Tuesday 1-3, Wednesday 9-10, Thursday 8-9:30

Location: Hirt 213

Office Hours: Monday 2-3:30, Tuesday 1-3, Wednesday 9-10, Thursday 8-9:30

### Course Description

This is the second of a three course sequence in calculus. Topics follow the early transcendentals path; included are the integral, antiderivatives, the Fundamental Theorem, integration techniques, interesting applications of integration, an introduction to differential equations, series, sequences.

### Objectives

On successful completion of the course, students will be able to:

- use integration to find areas between curves, volumes of solids formed by revolution, lengths of plane curves;
- find derivatives and integrals involving exponential and logarithmic functions;
- find derivatives and integrals involving the inverse trigonometric functions;
- evaluate integrals using a variety of integration techniques;
- solve first-order separable differential equations;
- evaluate improper integrals;
- find the limit of a sequence;
- determine whether a given series converges or diverges;
- find the power series expansion of a function and its radius of convergence;
- further our understanding and ability to write mathematics.

### Prerequisites

Successful completion of Math 170 Calculus I, or transferred equivalent.

### Required Materials

##### Textbook

*Calculus, Early Transcendentals*by Anton, Bivens, and Davis, 10th Edition. We will be covering chapters 5-9 in the textbook. No other supplies are required for the course. You will not be expected to bring your textbook to class. If you prefer to purchase an electronic version of the text, you're welcome to do so.

Be sure to check the edition when purchasing your textbook; other editions have similar material, but the assigned problems may be different.

##### Calculators

You are not required to purchase a calculator for this course, and

**you will not be permitted to use a calculator or other electronic device on any quizzes or exams**. You are strongly encouraged to avoid using a calculator while working on homework.### Quizzes

Keeping up with the homework will ensure that you are prepared for the quizzes, which will feature problems very similar to those in the homework. Quiz grades will not be based strictly on whether or not you found the correct answer. Your work must also be written clearly, and with proper notation, to receive full credit.

Your lowest quiz grade, including a missed quiz, will be dropped when calculating your final grade.

If you miss a quiz, you must make arrangements to take it before the graded quizzes are returned to the class; this will typically be the next class meeting.

Your lowest quiz grade, including a missed quiz, will be dropped when calculating your final grade.

If you miss a quiz, you must make arrangements to take it before the graded quizzes are returned to the class; this will typically be the next class meeting.

### Exams

There will be three midterm exams given throughout the semester, in addition to the final exam. The material on the exams will be similar to topics covered on quizzes and homework. You will be given review guides for each exam. All exams should be considered to be cumulative; each exam will include some material from the previous exams.

If you need to miss class during a scheduled exam for a documented, excused reason (illness, family emergency, athletics), you will be able to make up the exam. You must schedule a time to retake any exam within one week of the day the exam was given in class.

Your lowest exam grade (including a missed exam) will be replaced by your final exam grade, if your final exam grade is better. A grade of 0 on an exam due to academic dishonesty will not be replaced by the final exam grade.

The final exam is cumulative, including material from all sections covered in class.} Most questions on the final will be taken (with minor modifications) from homework, quizzes, and previous exams.

You are required to take the final exam for this course regardless of your average on earlier exams or quizzes. If you will not be able to take the final exam at its scheduled time, please make alternate arrangements as soon as possible. Final exams may be made up for excused absences only.

The final exam is scheduled for

If you need to miss class during a scheduled exam for a documented, excused reason (illness, family emergency, athletics), you will be able to make up the exam. You must schedule a time to retake any exam within one week of the day the exam was given in class.

Your lowest exam grade (including a missed exam) will be replaced by your final exam grade, if your final exam grade is better. A grade of 0 on an exam due to academic dishonesty will not be replaced by the final exam grade.

The final exam is cumulative, including material from all sections covered in class.} Most questions on the final will be taken (with minor modifications) from homework, quizzes, and previous exams.

You are required to take the final exam for this course regardless of your average on earlier exams or quizzes. If you will not be able to take the final exam at its scheduled time, please make alternate arrangements as soon as possible. Final exams may be made up for excused absences only.

The final exam is scheduled for

**Wednesday, May 6, 8-10 am**.### Final Grades

##### Basis of Final Grade

Up to 500 points are available to earn throughout the semester, as follows:

240 points | Midterm Exams |

Three exams, 80 points each | |

Lowest exam grade replaced by final exam, if better | |

100 points | Quizzes |

Eleven quizzes, lowest quiz grade dropped | |

Each quiz worth 10 points, 0.5 points awarded for attending quiz | |

160 points | Final Exam |

##### Grading Scale

Grade | F | D | D+ | C | C+ | B | B+ | A |

Percentage | 0-59 | 60-66 | 67-69 | 70-76 | 77-79 | 80-86 | 87-89 | 90-100 |

Points | 0 | 298 | 333 | 348 | 383 | 398 | 433 | 448 |

### Resources

#### Software, Videos, and Apps

#### Free Online Calculus Courses

Khan Academy

MIT OpenCourseWare Calculus

edX Calculus 1A: Differentiation

edX Calculus 1B: Integration

MIT OpenCourseWare Calculus

edX Calculus 1A: Differentiation

edX Calculus 1B: Integration

#### Free Textbooks

### Tutoring

Mercyhurst University offers free tutoring for Calculus II students. For more information or to arrange a tutor, please click here. You are free to ask tutors questions on any assigned homework and exam review sheets.

### Learning Differences

Mercyhurst University is committed to making reasonable accommodations to assist individuals with disabilities in reaching their academic potential. Students with disabilities requiring accommodations should consult with the Learning Differences Office to discuss eligibility for services or submit the online accommodation request to the Director of Equal Opportunity Programs (DEOP) at ada@mercyhurst.edu.

For students requiring accommodations for learning differences, it is the policy of Mercyhurst University that it is the student’s responsibility to provide documentation of his/her disability to the DEOP.

Students are advised to request accommodations at the time of acceptance or prior to the start of the semester. Students may request accommodations at any time throughout the program, however accommodations are not retroactive.

For students requiring accommodations for learning differences, it is the policy of Mercyhurst University that it is the student’s responsibility to provide documentation of his/her disability to the DEOP.

Students are advised to request accommodations at the time of acceptance or prior to the start of the semester. Students may request accommodations at any time throughout the program, however accommodations are not retroactive.

### Academic Honesty

Students are required to uphold academic integrity throughout the course. In particular, plagiarism of any sort, unauthorized collaboration on exams, quizzes and other assignments, and other incidences of academic dishonesty will be handled according to the policies set forth in the Student Handbook.

In this course, academic honesty means submitting quizzes and exams that are genuine reflections of your understanding of the material. A first attempt to unfairly increase your grade on a quiz or exam (by using restricted notes, calculators or any other electronic devices, by copying work from a classmate, etc) will result in a grade of 0 for that quiz or exam. This grade will not be dropped or replaced when determining your final grade. A second attempt will result in an Academic Dishonesty report and may affect your enrollment in the course and the University.

In this course, academic honesty means submitting quizzes and exams that are genuine reflections of your understanding of the material. A first attempt to unfairly increase your grade on a quiz or exam (by using restricted notes, calculators or any other electronic devices, by copying work from a classmate, etc) will result in a grade of 0 for that quiz or exam. This grade will not be dropped or replaced when determining your final grade. A second attempt will result in an Academic Dishonesty report and may affect your enrollment in the course and the University.

### Mercy Mission

This course supports the mission of Mercyhurst University by creating students who are intellectually creative. Students will foster this creativity by: applying critical thinking and qualitative reasoning techniques to new disciplines; developing, analyzing, and synthesizing scientific ideas; and engaging in innovative problem solving strategies.

### Course Evaluations

Near the end of the semester, you will be asked to complete an online course evaluation. The evaluation will be completed in class during the last two weeks of the semester using any laptop, tablet, or mobile device. The response tool allows you to note aspects of the course that helped you learn, as well as aspects that might be modified to help future students learn more effectively. You will receive an email letting you know when the evaluation window for our class is open. Please note that these course evaluations are anonymous and instructors do not see the results until after the grades for the course are submitted.

## Homework

When we finish a section in the book, you should immediately begin working on the homework problems from the list below.

Your work will not be collected. However, actually working through these problems is the key to your success in this class. Attending every class is not enough; mathematics can only be learned through practice. You should plan to spend a significant amount of time on the homework. It is expected that you spend approximately 8-12 hours per week studying the material outside our class meetings, according the the typical 2-3 hour per credit rule of thumb.

Your work will not be collected. However, actually working through these problems is the key to your success in this class. Attending every class is not enough; mathematics can only be learned through practice. You should plan to spend a significant amount of time on the homework. It is expected that you spend approximately 8-12 hours per week studying the material outside our class meetings, according the the typical 2-3 hour per credit rule of thumb.

**Stay up to date with homework, and get help if you cannot understand a problem after trying it on your own.**Do not ignore a problem that you are struggling with. If you are having trouble with a topic, please come talk to me during office hours, ask questions in class, seek help from a classmate, or go to the department tutors for assistance. You are expected to try to work on all problems on your own first; when coming to my office, be prepared to show me what you've already tried.Section | Page | Problems |

Chapter 5 | ||

5.2 | 330 | 44, 46 |

5.3 | 338 | 34, 37, 38, 50, 53, 70 |

5.5 | 360 | 15, 19, 23, 24, 27, 28, 34, 37 |

5.6 | 373 | 15, 17, 20, 21, 24, 26, 29 |

5.9 | 393 | 15, 20, 22, 33, 38, 39, 40, 41, 42, 44, 45, 49, 53 |

3.6 | 226 | 7, 12, 18, 20, 23, 25, 27, 32 |

5.4 | 350 | 1, 3, 5, 7, 8, 13, 15, 19, 27, 35 |

Chapter 6 | ||

6.1 | 419 | 1, 3, 4, 6, 7, 11, 12, 13, 14, 15, 16, 35, 49 |

6.2 | 428 | 1, 2, 11, 13, 17, 18, 23, 24, 26, 34, 40, 41, 42, 43, 44 |

6.3 | 436 | 2, 4, 5, 9, 10, 11, 13, 16, 25, 29, 30 |

6.6 | 456 | 1, 2, 3, 5, 6, 8, 9, 14, 15, 16, 17, 18, 20, 21, 23 |

Chapter 7 | ||

7.1 | 490 | 1, 3, 4, 6, 8, 9, 10, 11, 14, 18 |

7.2 | 498 | 1, 5, 7, 9, 10, 11, 13, 14, 15, 17, 18, 19, 21, 24, 25, 26, 29, 30, 35, 36, 38 |

7.3 | 506 | 9, 17, 25, 29, 30, 33, 34, 39, 43, 45, 48 |

7.4 | 513 | 3, 5, 7, 11, 13, 16, 17, 19, 21, 23, 25, 37, 39, 47 |

7.5 | 521 | 3, 5, 9, 13, 15, 16, 17, 21, 24, 25, 29, 33, 39 |

7.6 | 531 | 5, 7, 13, 19, 21, 23, 31, 37, 55, 60,61, 64, 71, 90, 93 |

7.7 | 544 | 1, 5 ($n=10$ for all), 25, 41, 43, 45, 52 |

7.8 | 554 | 1, 3, 5, 7, 8, 10, 15, 16, 17, 19, 25, 28, 47 |

Chapter 8 | ||

8.1 | 566 | 1, 3, 6, 7, 10, 13, 16, 19, 20, 35 |

8.2 | 575 | 2, 6, 7, 12, 13, 25, 29, 33, 35 |

8.3 | 584 | 1, 3, 4, 6, 17 |

8.4 | 592 | 1, 3, 5, 7, 8, 9, 21, 22, 23 |

Chapter 9 | ||

9.1 | 605 | 1, 4, 7, 9, 12, 13, 15, 17, 23, 25, 27 |

9.2 | 613 | 3, 5, 7, 10, 11, 17, 19, 21, 23, 24 |

9.3 | 621 | 1, 2, 6, 7, 9, 10, 12, 14, 16, 17, 18, 19, 20, 28 |

9.4 | 629 | 3, 5, 7, 9, 11, 12, 14, 15, 17, 18, 19, 21, 22, 23, 31, 32, 33, 34 |

9.5 | 636 | 1, 3, 4, 5, 9, 14, 15, 25, 27, 28, 30, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 43, 44, 45, 46, 47 |

9.6 | 646 | 2, 7, 9, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28 |

9.7 | 657 | 6, 7, 12, 19, 24, 25, 37 |

9.8 | 667 | 1, 3, 6, 13, 17, 18, 19, 21, 29, 31, 36, 42, 43, 44, 45, 47, 48, 49, 50 |

9.10 | 686 | 5, 7, 8, 9, 11, 13, 19, 21, 22, 26, 27, 32, 36, 37 |

## Schedule

The exact topic covered on a particular date is subject to change. Exams and quizzes will be given on the day they are scheduled, though the sections appearing on a quiz may differ. Announcements will be made in class regarding any schedule changes.

Date | Topic | Notes |