# Welcome to MA 114 in Fall 2022

Calculus II at the University of Kentucky

## Course Description

A second course in Calculus. Applications of the integral, techniques of integration, convergence of sequence and series, Taylor series, polar coordinates. Lecture, three hours; recitation, two hours per week. Prereq: A grade of C or better in MA 113, MA 137 or MA 132.

MA 114 consists of lectures and recitations. Each large lecture is divided into multiple sections for recitations. Please be aware of your section number!   This page contains the information common to all sections.  Individual instructors may have additional information for their respective sections.

## Learning Outcomes

Students will investigate the following "big questions" and their associated learning outcomes.

1. Compute integrals analytically using integration by parts, trig substitution and partial fractions
2. Approximate definite integrals numerically and understand the limitations of numerical methods
3. Determine the convergence or divergence of an improper integral, infinite sequence, or infinite series
4. Find series for the elementary functions and estimate numerical values of series
5. Recognize when a physical or geometric quantity can be computed using integral calculus
6. Use integrals to compute arc length, surface area, and volume
7. Describe plane curves using parametric and polar coordinates
8. Analyze mathematical models involving first-order differential equations

Students will improve with regard to the following mathematical practices.

1. Students will make sense of problems and be persistent while solving them.
2. Students will engage in productive struggle with mathematics problems.
3. Students will productively collaborate with others.
4. Students will communicate through mathematical writing.

Course policy regarding supportive discourse. Students should not make negative comments about themselves or their mathematical ability, at any time, for any reason. Here are example statements that are discouraged, along with acceptable replacement phrases.

• I can't do this ->; I am still learning how to do this
• That was stupid ->; That was a productive mistake
• This is impossible ->; There is something interesting and subtle in this problem
• I'm an idiot ->; This is going to take careful thought
• I'll never understand this ->; This might take me a long time and a lot of work to figure out
• This is terrible ->; I think I've done something incorrectly, let me check it again
The replacements reflect the reality that with a little effort we are capable of understanding and making use of difficult concepts from mathematics.

## Course Calendar

The course calendar is available as a pdf. This document includes all assignments and their due dates. This is the most important part of the syllabus.

## Textbook

Calculus: Early Transcendentals, 9th edition, by James Stewart

You do not need to purchase a separate WebAssign access code for this course. We will use the WeBWorK online homework system.

## Recitations

In recitation, you will practice the material of the lectures using worksheets. Most of your recitation time will be spent working in groups. It will be your responsibility to bring the day's worksheet to class. For the schedule of the worksheets see the course calendar.

## MA 194

In addition to the 4 hours of credit for MA 114, the department offers one additional hour of credit as MA 194 on a pass/fail basis. You will pass MA 194 if you satisfy the following criteria:

• you have no more than 2 unexcused absences during MA 114 recitations
• you receive a grade of D or better in MA 114
If you receive an grade of E in MA 114, or if you have 3 or more unexcused absences in recitation, you will fail MA 194.

Your section number for MA 194 must be the same as your section number for MA 114. If you drop or change sections of MA 114, please make sure to also drop or change sections of MA 194. It is your responsibility to do this if you change sections. If you do not change the section of MA 194 you may receive a failing grade for MA 194 because you are not on the proper class roll.

## Calculators

You may use calculators on the homework and exams, but not quizzes.

You may not use a calculator that has symbolic manipulation capabilities of any sort on any exam. This precludes the use of TI-89, TI-Nspire CAS, HP 48, TI 92, Voyage 200, Casio Classpad or laptop computer. Answers that are simply the output of a calculator routine or a single numerical or symbolic expression that has no supporting work will receive little or no credit on exams and assignments.

## Policies

Attendance. Attend lectures and recitations regularly. Be on time and remain until dismissed. Do not leave in the middle of class. Instructors may deduct attendance points for coming late or leaving early. If you cannot come to lecture or recitation and would like to request an excused absence, inform the instructor as early as possible and provide documentation.

Excused absences. Students need to notify the instructor of absences prior to class when possible. Senate Rules 5.2.4.2 defines the following as acceptable reasons for excused absences: (a) serious illness, (b) illness or death of family member, (c) University-related trips, (d) major religious holidays, (e) certain interviews for full-time jobs after graduation and (f) other circumstances found to fit "reasonable cause for nonattendance" by the professor. Students anticipating an absence for a major religious holiday are responsible for notifying the instructor in writing of anticipated absences due to their observance of such holidays no later than the last day in the semester to add a class. Two weeks prior to the absence is reasonable, but should not be given any later. Information regarding major religious holidays may be obtained through the Ombud (859-257-3737).

Per Senate Rule 5.2.4.2, students missing any graded work due to an excused absence are responsible: for informing the Instructor of Record about their excused absence within one week following the period of the excused absence (except where prior notification is required); and for making up the missed work. The professor must give the student an opportunity to make up the work and/or the exams missed due to an excused absence, and shall do so, if feasible, during the semester in which the absence occurred.

Students may be asked to verify their absences in order for them to be considered excused. Senate Rule 5.2.4.2 states that faculty have the right to request “appropriate verification” when students claim an excused absence because of illness, or death in the family. Appropriate notification of absences due to University-related trips is required prior to the absence when feasible and in no case more than one week after the absence.

Note that classes meet as indicated in the course calendar, including on the day following exams.

Use of electronic devices. Electronic devices such as mobile phones, laptops and tablets can be a source of distraction that prevents students from participating in class. They should only be used as part of class activities during lectures and recitations at the direction of instructors. Instructors may prohibit their use during class. Students who are not participating in class may be marked absent.

The Disability Resource Center (DRC). The DRC is available to help if you need extra time taking exams, quizzes, or other academic accommodations. If you have a documented disability that requires academic accommodations, please contact your instructor as soon as possible. In order to receive accommodations in this course, you must provide your instructor with a Letter of Accommodation from the Disability Resource Center. It is located on the corner of Rose Street and Huguelet Drive in the Multidisciplinary Science Building, Suite 407. You can reach them via phone at (859) 257-2754 and via email at drc@uky.edu and at the DRC website.

Assignment deadlines and alternate exam policy. In order to be fair to all students, dates for exams and homework assignments are as listed on the course calendar. Missed work and exams may be made up only due to illness with medical documentation or for other unusual (documented) circumstances. If you have a university excused absence or a university-scheduled class conflict with uniform examinations please contact your lecturer as soon as possible, but at least two weeks before the exam, so that an alternate exam can be arranged for you.

University Policy on Academic Integrity. Per University policy, students shall not plagiarize, cheat, or falsify or misuse academic records. Students are expected to adhere to University policy on cheating and plagiarism in all courses. The minimum penalty for a first offense is a zero on the assignment on which the offense occurred. If the offense is considered severe or the student has other academic offenses on their record, more serious penalties, up to suspension from the University may be imposed. Plagiarism and cheating are serious breaches of academic conduct. Each student is advised to become familiar with the various forms of academic dishonesty as explained in the Code of Student Rights and Responsibilities. Complete information can be found at the Ombud website. A plea of ignorance is not acceptable as a defense against the charge of academic dishonesty. It is important that you review this information as all ideas borrowed from others need to be properly credited.

Senate Rules 6.3.1 (see Senate Rules for the current set of Senate Rules) states that all academic work, written or otherwise, submitted by students to their instructors or other academic supervisors, is expected to be the result of their own thought, research, or self-expression. In cases where students feel unsure about a question of plagiarism involving their work, they are obliged to consult their instructors on the matter before submission. When students submit work purporting to be their own, but which in any way borrows ideas, organization, wording, or content from another source without appropriate acknowledgment of the fact, the students are guilty of plagiarism.

Plagiarism includes reproducing someone else's work (including, but not limited to a published article, a book, a website, computer code, or a paper from a friend) without clear attribution. Plagiarism also includes the practice of employing or allowing another person to alter or revise the work, which a student submits as his/her own, whoever that other person may be. Students may discuss assignments among themselves or with an instructor or tutor, but when the actual work is done, it must be done by the student, and the student alone. When a student's assignment involves research in outside sources or information, the student must carefully acknowledge exactly what, where and how he/she has employed them. If the words of someone else are used, the student must put quotation marks around the passage in question and add an appropriate indication of its origin. Making simple changes while leaving the organization, content, and phraseology intact is plagiaristic. However, nothing in these Rules shall apply to those ideas, which are so generally and freely circulated as to be a part of the public domain.

Policy regarding collaboration. Mathematics is an inherently collaborative and social activity. Students are encouraged to work together to understand a problem and to develop a solution. However, the solution you submit for credit must be your own work. In particular, you should prepare your solutions to the written assignments independently and you should submit your answers for web homework independently. Copying on exams and usage of books, notes, or communication devices during examinations is not allowed. Cheating or plagiarism is a serious offense and will not be tolerated. Students are responsible for knowing the University policy on academic dishonesty.

While you should discuss your web homework problems with other students, you should not have another person submit answers on your behalf.

Non-Discrimination Statement and Title IX Information The University of Kentucky faculty are committed to supporting students and upholding the University's non-discrimination policy. Discrimination is prohibited at UK. If you experience an incident of discrimination we encourage you to report it to Institutional Equity & Equal Opportunity (IEEO) Office, 13 Main Building, (859) 257-8927. Acts of Sex- and Gender-Based Discrimination or Interpersonal Violence: If you experience an incident of sex- or gender-based discrimination or interpersonal violence, we encourage you to report it. While you may talk to a faculty member or TA/RA/GA, understand that as a "Responsible Employee" of the University these individuals MUST report any acts of violence (including verbal bullying and sexual harassment) to the University's Title IX Coordinator in the IEEO Office. If you would like to speak with someone who may be able to afford you confidentiality, the Violence Intervention and Prevention (VIP) program (Frazee Hall – Lower Level; http://www.uky.edu/StudentAffairs/VIPCenter/), the Counseling Center (106 Frazee Hall, http://www.uky.edu/StudentAffairs/Counseling/), and the University Health Services (https://ukhealthcare.uky.edu/university-health-service/student-health) are confidential resources on campus.

Diversity, Equity, and Inclusion (DEI) As a land grant university, the University of Kentucky is rooted in service to the community and committed to the core values of diversity, inclusion, and equality. Our institution's goal is to encourage scholarship, learning, and the dissemination of knowledge to all who come to our doors. This means that we are dedicated to promoting a classroom environment free from discrimination. We acknowledge and respect the seen and unseen diverse identities and experiences of faculty, staff, students, and all members of the university community. We welcome the varied talents, skills, perspectives, and contributions made by all members of the community, and it is this collaboration across differences that makes us a great university. What this means in practice is that as educators and mathematicians, we are committed to welcoming everyone interested in mathematics as we work to build a community that is diverse, respectful, accessible, and inclusive. We also recognize that diversity exists across many categories, including culture, race, ethnicity, nationality, citizenship, class, gender, sexuality, religion, language, age, and abilities.

If students encounter an experience in opposition to these values related to the course, they are encouraged to speak to the instructor of record or course coordinator. Students can also seek out the Director of Undergraduate Studies or the Department Chair with any concerns. Their contact information can be found on the department's website. To report an instance of bias, hatred, racism, or identity-based violence, please contact the Bias Incident Response Team (BIRT), whose services are provided by UK's Office for Institutional Diversity.

Face Covering/Distancing Policy In accordance with University guidelines, masks are optional inside of all University of Kentucky indoor spaces.

Class Recording Notification The University of Kentucky Student Code of Conduct defines Invasion of Privacy as using electronic or other devices to make a photographic, audio, or video record of any person without their prior knowledge or consent when such a recording is likely to cause injury or distress.

Meetings of this course may be recorded. All video and audio recordings of lecturers and class meetings, provided by the instructors, are for educational use by students in this class only. They are available only through the Canvas shell for this course and are not to be copied, shared, or redistributed.

As addressed in the Student Code of Conduct, students are expected to follow appropriate university policies and maintain the security of linkblue accounts used to access recorded class materials. Recordings may not be reproduced, shared with those not enrolled in the class, or uploaded to other online environments.

If the instructor or a University of Kentucky office plans any other uses for the recordings, beyond this class, students identifiable in the recordings will be notified to request consent prior to such use. In anticipation of such cases, students may be asked to complete an “authorization of use” form by a faculty member.

Video and audio recordings by students are not permitted during the class unless the student has received prior permission from the instructor. Any sharing, distribution, and or uploading of these recordings outside of the parameters of the class is prohibited. Students with specific recording accommodations approved by the Disability Resource Center should present their official documentation to the instructor.

All content for this course, including handouts, assignments, and lectures are the intellectual property of the instructors and cannot be reproduced or sold without prior permission from the instructors. A student may use the material for reasonable educational and professional purposes extending beyond this class, such as studying for a comprehensive or qualifying examination in a degree program, preparing for a professional or certification examination, or to assist in fulfilling responsibilities at a job or internship.

## Expectations for Student Work

For any written solutions to problems in this course, students are expected to submit work that is clear, legible, and well-written. Students should show all their work in an organized manner, using complete sentences to explain their solutions and justify their computations. To illustrate our expectations for written work, we have included here three sample solutions to a problem: one of these is a correct solution that meets our expectations; one of these is a solution having the correct answer yet it is not sufficiently well-written to receive full credit; and one of these is a solution that is ungradeable and will receive zero credit, even though it appears that the correct answer might have been found.

## Study Advice and Getting Help

Mathematics is not a spectator sport. To understand what this means, consider how well you might learn to play football by merely watching Luka Modrić, or learn to sing by only listening to Aretha Franklin. Similarly, you will not learn the material in this course by only listening to the lectures and thinking to yourself - "Yes, I understand that". In order to learn, you must also actively read the textbook, work a large number of problems, talk to your classmates, and reflect on your work. The instructor's role is that of a coach or guide who will help you learn as much of the material as you desire. This being said, form good study skills from the start!

• Come to class and take notes during lecture.
• Read each section of the text prior to the lecture where it will be covered.
• As you read the text, have pencil and paper handy. Work through the computations. Find examples to illustrate the theorems and results in the text. If the text tells you that every differentiable function is continuous, think of examples of differentiable functions and check if they are continuous. Think of examples of functions that are not continuous and determine if they are differentiable. Can you think of an example of a function that is continuous but not differentiable?
• Begin the homework immediately after material is covered in class. Mathematics is cumulative. In order to benefit from Wednesday's lecture, you must understand the material covered on Monday.
• Find classmates and form a study group. Spend time discussing problems.
• Do not fall behind. It is very difficult to catch up in a math class after falling behind.
• Begin preparing for exams well in advance. Read the text again to review all of the material to be covered on the exam. Be sure you are familiar with the main results and theorems and how they are used in homework.
• Work additional problems to prepare for the exam. Use old exams from previous semesters of MA 114 to take a practice test. Treat it like a test. Compare your solutions with those provided by the answer key.
• If you are having trouble, then seek help immediately.

If you are having trouble with a homework problem, you can send an e-mail from WeBWorK to your teaching assistant and lecturer. Try to provide as much information as possible in your help request. Describe what you have attempted and give a guess as to what might be wrong. It is helpful if these messages are sent from WeBWorK rather than from Canvas or a direct email as WeBWorK includes information about your individual version of the question and the answers you submitted.

• Talk to your instructors before or after class or send them an email. Let them know what problems you are having, if any. They will be happy to help!
• Go to the office hours of your instructors.
• Furthermore, you can seek help in The Study, which provides drop-in peer tutoring by undergraduate students who have successfully navigated the courses for which they tutor. A regular schedule of all tutoring is available on The Study's web site

 Activity Number of points 3 Midterm Exams 300 points Final Exam 100 points Web Homework (WeBWork) 110 points Quizzes 40 points Lecture Participation 30 points Recitation Participation 20 points Total 600 points

 Total Points Final Grade At least 540 A At least 480 B At least 420 C At least 360 D Less than 360 E

We may adjust (or curve) the grade lines down (but not up!). Decisions about changing the grade lines will be made by the faculty after considering the difficulty of the exams and the performance of students on the exams. Typical means for exams in previous years have been in the 70's. In computing these means, we do not include scores of students who score 30 or below.

## Exams

There will be three uniform midterm exams and one final exam. These exams will feature both multiple choice and free response questions and will be administered through the course Canvas pages.  Each midterm exam is 120 minutes (2 hours) and the final exam is 120 minutes (2 hours). You are allowed to use notes on a single piece of 8.5X11 paper, front and back, including formulas and theorems.

 Exam Date Time I Tuesday, September 20, 2022 5:00 - 7:00 pm II Tuesday, October 18, 2022 5:00 - 7:00 pm III Tuesday, November 15, 2022 5:00 - 7:00 pm Final Exam Tuesday, December 13, 2022 6:00 - 8:00 pm

A library of old exams is available to help students review for exams. Please note that the material covered on each exam may change from semester to semester.

## Online Homework (WeBWorK)

You will find a due date for each WeBWork assignment on the course calendar. After the due date, completed WeBWorK assignments will receive half credit. We encourage you to complete each WeBWorK assignment, even if you miss the due date. Solutions to WeBWorK assignments will be made available before the final exam.

Suggestions for working web homework:

• Print out the web homework and write out complete solutions of problems before attempting to submit answers. These solutions will be helpful in studying for exams and to bring to discussions with others.
• Form a study group and meet regularly to discuss web homework and the material covered in lectures.
• Make sure you understand your solution to each homework problem. Discuss your approach with members of your study group, your instructor, or peer tutors at the Mathskeller or the Study.
• Do not guess. If you submit an answer and are marked wrong, look through your solution for computational and conceptual errors.
• Near the bottom of many pages at WeBWorK, you will find a link to email your instructor. Please work to formulate clear questions in your email. We will work to answer emailed questions by the next work day. Instructors will not be able to answers questions sent the evening of a due date.

## Quizzes

Quizzes will be given on the dates specified in the course calendar. Calculators will not be allowed for quizzes. The quiz grades contribute to your overall course grade as described in the grading section of this website.

## Worksheets

Beginning with worksheet 2, you will be responsible for having the recitation worksheets with you for recitation classes. You may print the worksheet and bring it to recitation, or open the worksheet file on a mobile device.