## Math 142 - Calculus II

### Instructors

- Kyle Hambrook
- Lectures: MW 15:25-16:40 MOREY 321
- E-mail: kyle dot hambrook at rochester dot edu
- Office: Hylan 905
- Help Hours: MW 17:00-18:00
- Yu Zeng
- Lectures: MW 9:00-10:15 GAVET 312
- E-mail: yzeng15 at ur dot rochester dot edu
- Office: Hylan 1006
- Help Hours: W 13:00-16:00

### TAs

- Scott Kirila (Head TA)
- E-mail: skirila at z.rochester.edu
- Help Hour: Friday, 2pm-3pm, Hylan 717
- Carlos Rojas
- E-mail: crojas3 at u dot rochester dot edu
- Help Hour: Friday, 10:30am-11:30am, Carlson Library, 2nd floor
- Akif Hosain
- E-mail: ahosain at u dot rochester dot edu
- Help Hour: Thursday, 3:30pm-4:30pm, Hylan 206
- AJ Vargas
- E-mail: avargas7 at u dot rochester dot edu
- Help Hour: Monday, 4:50pm-5:50pm, Hylan 206
- Saifeddin Abdalrahman (Webwork TA)
- E-mail: Use the “E-mail Webwork TA” button in Webwork

### Prerequisites

MTH 141

### Description

Calculus of algebraic, logarithmic, exponential, and trigonometric functions and their inverses. The definite integral, the fundamental theorem of calculus, geometric and physical applications including areas, volumes, work, and arc length. Techniques of integration including substitution rule, integration by parts, trigonometric substitution, partial fractions. Improper integrals.

### Textbook

*Calculus: Early Transcendentals* (8th edition) by James Stewart.

Older editions of the textbook are acceptable, but section and exercise numbers below are for the 8th edition.

Exercises for relevant sections from 8th edition

### Recitations

You must sign-up for a recitation session. Sign-up opens Friday, September 2, at 15:00. Go here for instructions: http://www.sas.rochester.edu/mth/undergraduate/recitations.html

Recitations are 75 minutes long and are held weekly. Recitations start the week of September 5.

There will usually be a quiz in the last 15 minutes of each recitation session. More information about the quizzes is below.

During the the first part of the recitation session, the TA will answer your questions about the course material, Webwork questions, and possible quiz questions.

### Grading

- Webwork: 10%
- Quizzes: 10%
- First Midterm Exam: 20%
- Second Midterm Exam: 20%
- Final Exam: 40%
- If it results in a higher course grade for you, your lowest midterm mark will be worth 0% and your final exam mark will be worth 60%.

### Webwork

Webwork assignments are due on Fridays at 11:59 PM. No late submissions will be allowed. Your two lowest Webwork marks will be dropped when calculating your Webwork grade.

To ask questions about Webwork problems, use the “E-mail Webwork TA” button in Webwork. Do not expect a response if you ask a question less than 6 hours before the deadline.

- Username = UR NetID (i.e. the first part of your Rochester e-mail address)
- Password = student ID number (you can change it after you log in)

Cannot log in? Email the following information to your instructor:

- Full name
- Rochester email address
- Student ID number
- Course number (MTH142)
- Instructor’s name (Hambrook or Zeng)
- Time class meets (MW 15:25-16:40 or MW 9:00-10:15)

### Quizzes

- There will usually be a quiz in the last 15 minutes of each recitation session.
- The quiz questions will be selected randomly from the lists of exercises in the schedule below.
- You must show your work.
- Your two lowest quiz marks will be dropped when calculating your quizzes grade.
- No accommodation for missed quizzes will be given.
- There are some weeks with a recitation but no quiz. For such weeks, you will be marked for recitation attendance.

### First Midterm Exam

- Tuesday, October 11, 8:00-9:30 (AM), Dewey 1101
- No notes, textbooks, phones, calculators, or other electronic devices.
- Bring your student ID.
- No make-up midterm will be given.
- The questions will be very similar to the webwork and quiz questions, so study those to do well.
- The layout will be similar to the following practice midterm.
- Textbook Sections: 4.5, 4.7, 4.9, 5.1, 5.2, 5.3, 5.4
- Topics: Curve Sketching, Optimization, Antiderivatives, Indefinite Integrals, Areas and Distances, Definite Integrals, Fundamental Theorem of Calculus, Net Change Theorem
- Practice Midterm 1
- Practice Midterm 1 - Solutions
- Old Exams. Not all with solutions. Not all content matches current course.
- Midterm 1 - solutions
- Midterm 1 scores are posted on Blackboard. It is a score out of 75.
- Here is rough approximation of the letter grade corresponding to your midterm score. “B” means “B- or B or B+”, etc.
- A: 54-75
- B: 41-53
- C: 25-40
- D: 18-24
- F: 0-17

### Second Midterm Exam

- Thursday, November 17, 8:00-9:30 (AM), Dewey 1101
- No notes, textbooks, phones, calculators, or other electronic devices.
- Bring your student ID.
- No make-up midterm will be given.
- The questions will be very similar to the webwork and quiz questions, so study those to do well.
- The layout will be similar to the practice midterm below.
- A formula sheet is included with the practice midterm.
- The same formula sheet will be included with the midterm.
- Textbook Sections: 5.5, 6.5, 6.1, 6.2, 6.3, 6.4, 7.1, 7.2
- Topics: Substitution Rule, Average Value of a Function, Areas Between Curves, Volumes, Volumes by Cylindrical Shells, Work, Integration by Parts, Trigonometric Integrals
- Practice Midterm 2
- Practice Midterm 2 - Solutions
- Old Exams. Not all with solutions. Not all content matches current course.
- Midterm 2 - solutions
- Midterm 2 scores are posted on Blackboard. It is a score out of 75.
- Here is rough approximation of the letter grade corresponding to your midterm score. “B” means “B- or B or B+”, etc.
- A: 50-75
- B: 35-49
- C: 23-34
- D: 17-22
- F: 0-16

### Final Exam

- Saturday, December 17, 8:30 (AM), Dewey 1101
- No notes, textbooks, phones, calculators, or other electronic devices.
- Bring your student ID.
- No make-up final with be given.
- The questions will be very similar to the webwork and quiz questions, so study those to do well.
- The layout will be similar to the practice final below.
- A formula sheet is included with the practice final.
- The same formula sheet will be included with the final.
- Practice Final Exam
- Practice Final Exam - Solutions
- Old Exams. Not all with solutions. Not all content matches current course.
- Final Exam - Solutions - Don’t Show Until Dec 18
- Final Exam - Solutions - Seriously This Time

### Academic Honesty

All assignments and activities associated with this course must be performed in accordance with the University of Rochester’s Academic Honesty Policy.

You may work together on homework, but copying on homework or exams is **NOT** allowed, and it will be considered academic dishonesty.

### Additional Help

Math Study Hall, Tutoring, and Other Resources

If you are having any difficulties, seek help immediately - do not wait until it is too late to recover from falling behind or failing to understand a concept. Ask an instructor or TA either in class, during office hours, or during an appointment. Email your instructor or TA, or use the WebWork “email WeBWorK TA” button. Work with your classmates (this is always a good idea). It is essential not to fall behind because each lecture is based on previous work.

### Disability Resources

If you have an academic need related to a disability, contact the Center for Excellence in Teaching and Learning (CETL).

The University of Rochester is committed to providing equal educational opportunities for individuals with disabilities. Costs of required auxiliary services are to be borne by the university, not by the student. For more complete information about disabilities, please read the disability handbook which is available on the CETL page.

To be granted alternate testing accommodations, you (the student) must fill out forms with CETL at least seven days before each and every exam. These forms are not sent “automatically.” Professors are not responsible for requesting alternative testing accommodations at CETL, and they are not obligated to make any accommodations on their own.

### Lecture Notes (by Professor Hambrook)

- Curve Sketching
- Optimization
- Antiderivatives and Indefinite Integrals
- Definite Integral - Part 1
- Definite Integral - Part 2
- Substitution Rule
- Average Value of Function
- Areas Between Curves
- Volumes
- Volumes by Cylindrical Shells
- Work
- Integration by Parts
- Trigonometric Integrals
- Trigonometric Substitution
- Partial Fractions
- Arc Length (Not Available)
- Improper Integrals - Part 1
- Improper Integrals - Part 2

### Schedule

The schedule may change according to our progress through the topics.

- Week of Aug 29
- Topics: Curve Sketching
- Reading: 4.5 (Ignore Slant Asymptotes. Helpful to review 4.1 and 4.3, which were covered in MTH 141)
- No class on Monday. No recitation this week.
- Week of Sep 5
- Topics: Curve Sketching
- Reading: 4.5 (Ignore Slant Asymptotes. Helpful to review 4.1 and 4.3, which were covered in MTH 141)
- Quiz Exercises for Sep 12:
**4.5**: 13, 19, 20, 27, 35, 43. - The quiz next week will be
**one**of these exercises. - No class on Monday. No quiz this week. Recitation graded on attendance.
- Week of Sep 12
- Topics: Optimization Problems
- Reading: 4.7
- Quiz Exercises for Sep 19:
**4.7**: 13, 16, 23, 25, 40, 50. - The quiz next week will be
**two**of these exercises. - Week of Sep 19
- Topics: Antiderivatives, Indefinite Integrals
- Reading: 4.9, 5.4 to Example 2
- Quiz Exercises for Sep 26:
**4.9**: 16, 36, 47, 61, 63.**5.4**: 3, 9, 11, 17. - The quiz next week will be
**two**of these exercises. - Week of Sep 26
- Topics: Areas and Distances, Definite Integrals
- Reading: 5.1, 5.2
- Quiz Exercises for Oct 3:
**5.1:**3, 13.**5.2:**1, 6, 21, 40, 47, 68. - The quiz next week will be
**two**of these exercises. - Week of Oct 3
- Topics: Fundamental Theorem of Calculus, Net Change Theorem
- Reading: 5.3, 5.4
- Practice Exercises:
**5.3**: 3, 11, 21, 25, 37, 43, 47, 55, 59, 68.**5.4**: 32, 45, 51, 61. - These exercises should be done as practice for the midterm.
- Week of Oct 10
- Topics: Substitution Rule, Average Value of a Function
- Reading: 5.5, 6.5
- Quiz Exercises for Oct 17:
**5.5**: 16, 45, 47, 56, 61, 73.**6.5**: 5, 9, 14. - The quiz next week (except Tuesday) will be
**three**of these exercises. - No quiz this week. No recitation this week.
- First Midterm Exam. Tuesday, October 11, 8:00-9:30 (AM), DEWEY 1101.
- Week of Oct 17
- Topics: Areas Between Curves
- Reading: 6.1
- Quiz Exercises for Oct 24:
**6.1**: 7, 17, 21, 23, 25, 27. - The quiz next week will be
**two**of these exercises. - No class on Monday. No quiz on Tuesday. No recitation on Tuesday.
- Week of Oct 24
- Topics: Volumes, Volumes by Cylindrical Shells
- Reading: 6.2, 6.3
- Quiz Exercises for Oct 31:
**6.2**: 7, 9, 14, 15, 49, 56.**6.3**: 7, 11, 15, 19. - The quiz next week will be
**two**of these exercises.

- Week of Oct 31
- Topics: Work
- Reading: 6.4
- Quiz Exercises for Nov 7:
**6.4**: 5, 9, 13, 17, 21, 23, 24. - The quiz next week will be
**two**of these exercises. - Week of Nov 7
- Topics: Integration by Parts, Trigonometric Integrals
- Reading: 7.1, 7.2
- Practice Exercises:
**7.1**: 7, 15, 17, 27, 37.**7.2**: 5, 11, 27, 35, 40, 41. - These exercises should be done as practice for the midterm.
- Week of Nov 14
- Topics: Trigonometric Substitution, Partial Fractions
- Reading: 7.3, 7.4
- Quiz Exercises for Nov 28:
**7.3**: 5, 7, 8, 16, 21, 23. - The quiz for the week of Nov 28 will be
**two**of these exercises. - No quiz this week. No recitation this week.
- Second Midterm Exam. Thursday, Nov 17, 8:00-9:30 (AM), DEWEY 1101.
- Week of Nov 21
- No class on Monday. No class on Wednesday. No quiz this week. No recitation this week. No office hours.
- Week of Nov 28
- Topics: Partial Fractions (continued if necessary), Arc Length
- Reading: 7.4, 8.1
- Quiz Exercises for Dec 5:
**7.4**: 5, 19, 23, 41,**8.1**: 11, 13, 15. - The quiz next week will be
**two**of these exercises,**one**from each section. - Week of Dec 5
- Topics: Improper Integrals
- Reading: 7.8
- Practice Exercises:
**7.8**: 2, 11, 13, 35, 36, 37, 49, 53. - These exercises should be done as practice for the final exam.
- Week of Dec 12
- Topics: Review
- No class on Wednesday. No recitation this week.
- Final Exam. Saturday, December 17, 8:30-11:30, DEWEY 1101.