MATH 166 05: Calculus II

MATH 166 - Calculus II

2023 Spring Syllabus, Section 05, CRN 6437

Course Information

You are responsible for knowing this material, so please read carefully. Any changes will be announced in a Blackboard Announcement. You will be responsible for any changes. Your continued enrollment in this course is your implicit agreement to abide by the requirements of this class.

This syllabus describes the requirements and procedures for Math 166. You are responsible for knowing this material, so please read carefully. Any changes will be announced through Blackboard and/or in class. You will be responsible for any changes. Your continued enrollment in this course is your implicit agreement to abide by the requirements of this class.

Times and Location

Instructor Information

Mary Dietz


Office: Witmer Hall Room 314A

Office Phone: 701.777.4613

About the Professor

Course Description

Techniques and applications of integration, exponential and logarithmic functions, parametric equations, infinite sequences and series.

MATH 166. Calculus II. 4 Credits. Prerequisite: Completion of MATH 165 with a grade of C or better.

Essential Studies Statement: This course addresses the Essential Studies learning goal of Critical Inquiry & Analysis. This means it will focus on collecting and analyzing information to reach conclusions based on the evidence. More specifically, inquiry should be thought of as a systematic process of exploring issues, objects, or works through the collection and analysis of evidence that results in informed conclusions or judgments. Analysis is the process of breaking complex topics or issues into parts to gain a better understanding. You should expect to focus on these intellectual skills as part of this course. This is an Essential Studies Math, Science, & Technology course. Mathematics is a body of knowledge based on patterns, abstraction, and logical reasoning, often involving quantity, structure, space, or change. Mathematics uses formal reasoning to investigate relationships between abstract patterns. Many courses in mathematics involve numerical skills and quantitative reasoning. Essential Studies courses in mathematics should give students some experience in abstract reasoning as well as the use of such reasoning to reach conclusions about the world.

Learning Outcomes

Inverse Functions and L’Hopital’s Rule, Differentiation and Integration with Exponential, Logartithmic, Trigonometric, Hyperbolic and Algebraic functions. Techniques of Integration, Improper and Numerical Integration.  Understanding and Evaluation for Convergent Series, Taylor and Maclaurin Series and Polynomials.  Arc Length and Surface Area of parametric and polar functions.  Calculus of Polar Functions.

Course Materials

Textbook:  Apex Calculus II Late Transcendentals is available as an eBook via Blackboard and available to purchase in notebook form at the University Bookstore.

Computer: Students will need a computer/laptop. Chrome books are not compatible with the online homework program.

Scientific Calculator: A calculator will be helpful for completing the Knewton Homework, however, they are not allowed on exams.

Knewton Alta Homework: This is an adaptive software homework and testing software with embedded instructional materials, in both written and video form. The Knewton software is available via Blackboard and there is a fee ($40/semester) for using Knewton.

Technical Requirements/Assistance

 For technical assistance, please contact UND Technical Support at 701.777.2222. Visit the University Information Technologies (UIT) website for their hours, help documents and other resources.

Minimum Technical Skills Needed

In order to succeed in this course, at a minimum, you should be able to:

  • Navigate in and use basic Blackboard functions
  • Send, receive, and manage email

Course Logistics

Access and Log in Information

This course was developed and will be facilitated utilizing Blackboard. To get started with the course, please go to: and log in with your NDUS. Identifier, Username, and Password. If you do not know your NDUS Identifier or have forgotten your password, please visit Your NDUS Account page on the UIT website.

Course Overview

The course content is organized into sixteen weeks. Each week contains a list of learning objectives, Knewton Alta homework assignments, and written quizzes/assignments.  The computerized homework assignments together with any written quizzes/homework assignments will be used to assess your comprehension and application of the material covered during the week. 

What Should Students Do First?
  • Read the syllabus and exam schedule.
  • Read all instructions in the first Lesson folder and in the Announcements.
  • Follow the instructions in blackboard to create and purchase access to Knewton Alta.
  • Get started on the Calc 1 Derivatives and Calc 1 Integrals Reviews in Knewton.
Example and optional addition: How Students Should Proceed Each Week for Class Activities

On the left side course menu in Blackboard, there is a Lessons tab.  Inside each weekly module, you will find a folder for each lesson covered that week containing a To Do List, Objectives, Videos, and any other course material the instructor may post.  Before each lesson is covered in class is the best time to watch the videos.  If you are comfortable with the material, you may go to Knewton  via Blackboard and start the homework.  If you start Knewton and have difficulty with a problem, you can click on the “more instruction” tab and there may be a video or example to help you.

When a topic has been lectured on, a quiz or in-class assignment may be given (both during class only).  You can expect 1 or more quizzes each week.  After class is the best time to start the homework assignments while the lecture is still fresh in your memory.  Keep up with the homework and always ask questions in class if you have any.


Many services are available to UND students such as writing assistance from the UND Writing Center, free online tutoring from Smarthinking, and the Math Tutoring Center on third floor, Witmer during regular hours (usually 9-4). Visit the Student Resources page for more information. Students also have access to the UND Student Resource Site via Blackboard. It is recommended that you become familiar with the tools and tutorials within the site to better equip you in navigating the course.

Course Requirements/Expectations

Insert the course requirements/expectations. An example is posted below.

  1. The student will review the syllabus and course schedule posted in Blackboard.
  2. The student will access and follow all course instructions found in the weekly area of the Blackboard course.
  3. The student will participate in any lecture or discussion sessions on campus or online as provided and as part of this course.
  4. The student will complete and submit assignments, exams, quizzes, etc. by the due dates. We will use Central Time for due dates and times.
  5. The student will participate fully and in a timely manner to get the benefit of learning from the instructor and/or peers.

Instructor Responsibilities and Feedback

  • The instructor will post announcements in blackboard that are not mentioned in the classroom
  • The instructor will provide feedback on written assignments/quizzes within 5 days.
  • The instructor will be available in the office or the Math Learning Center (3rd Floor Witmer) during office hours for problem-solving and instruction.


For on campus classes, I prefer that you talk to me in person either before or after class or during office hours.  If you like, you may also email me.  My email is


Announcements will be posted in Blackboard on a regular basis. Be sure to check the class announcements regularly as they will contain important information about class assignments and other class matters.


I usually respond to emails during the day, M-F.  I do not typically read email over the weekends or holidays.

Assessment Summary

  • In Class Work/quizzes  15%
  • Knewton Homework 15%
  • First 3 Exams 50%
  • Final Exam 20%

Final Grade Scale

  • 90-100%   A
  • 80-89%     B
  • 70-79%     C
  • 60-69%     D
  • 0-59%       F

Schedule of Topics and Assignments

Week of Reading(s): Agenda/Topic: Due:
1/9 1/13 - Inverse Functions
1/16 1/16 - Derivatives of Inverse Functions
1/23 1/23 - Exponential & Logarithmic Functions
1/23 - Hyperbolic Functions
1/27 - L'Hospital's Rule
1/30 2/3 - Integration by Parts 2/2 - Exam 1
2/6 2/6 - Trigonometric Integrals
2/10 - Trigonometric Substitution
2/13 2/17 - Partial Fraction Decomposition
2/20 2/20 - Improper Integration
2/23 - Numerical Integration
2/24 - Exam 2
2/27 3/3 - Sequences
3/6 - Infinite Series
3/6 3/10- The Integral Test
3/13 No Class
3/20 3/20 - Comparison Tests
3/24 - Alternating Series & Absolute Convergence
3/27 3/27 - Ratio & Root Tests
3/31 - Strategy for Testing Series
4/1 - Exam 3
4/3 4/3 - Power Series
4/3 - Taylor Polynomials
4/10 4/10 - Taylor Series
4/14 - Arc Length & Surface Area
4/17 4/21 - Parametric Equations
4/24 4/24 - Calculus of Parametric Curves
4/28 - Introduction to Polar Coordinates
5/1 5/1- Calculus of Polar Curves
5/8 5/12 - Final Exam

Course Policies

All quizzes and exams will be taken in the classroom. There are no make-ups

Calculators are not allowed during exams.

No makeup exams will be given unless the student contacts me prior to the scheduled exam time and provides written documentation of a medical or other emergency. In the case of a valid excuse, the make-up exam will be more difficult. Extended vacations (such as another day after a holiday) are not acceptable excuses for taking a make-up exam.

Assignment Policy

Due dates for each assignment or activity will be posted in Blackboard.

Late Work

Late Work is not accepted.

Class Participation

Class Participation is required to take quizzes.


It is expected that students will complete all requirements for a course during the time frame of the course. For reasons beyond a student’s control, and upon request by the student or on behalf of the student, an incomplete grade may be assigned by the instructor when there is reasonable certainty the student will successfully complete the course without retaking it. The mark “I,” Incomplete, will be assigned only to the student who has been in attendance and has done satisfactory work up to a time within four weeks of the close of the semester, including the examination period, and whose work is incomplete for reasons satisfactory to his or her instructor. More information regarding UND’s Incomplete policy can be found on The Grading System webpage.

Incompletes are entered on the final grade roster, and instructors must submit by email a “Report of Incomplete Grade” form to the Office of the Registrar. The instructor may choose any one of the following options for the deadline to complete the course:

  1. The default date as stated in the “UND Schedule of Courses.”
  2. Extend to 12 calendar months after the end of the course.
  3. A date of the instructor’s choosing no later than 12 months after the end of the course.

Incomplete grades will convert to a grade of “FI” if a grade or incomplete extension is not submitted by the instructor to the Office of the Registrar on or before the deadline written on the “Report of Incomplete Grade” form.

Access & Opportunity

If you have emergency medical info to share with me, if you need special arrangements in case the building must be evacuated, or if you need accommodations in this course because of a disability, please visit with me as soon as possible. If you plan to request disability accommodations you are expected to register with the Disability

Support Services (DSS) office, McCannel Hall, 777-3425.


When participating in class (online or in person) it is important to interact with your peers in an appropriate manner. Netiquette is a set of rules for behaving properly online. Here are a few basic points to remember when communicating in this course:

Be scholarly. Use proper language, grammar, and spelling. Explain your thoughts, justify opinions, and credit the ideas of others by citing scholarly resources. Avoid misinforming others when you are unsure of the answer.  When discussing something and supplying a guess, clearly state that.

Be respectful. Respect the privacy of others. Do not share personal or professional information about others unless permission has been granted. Respect diversity and opinions that differ from their own. Be tactful when you communicate.

Be professional. Everyone should strive to give their best impression online. Truthfulness, accuracy, and running a final spell check are appropriate expectations for university students. Writing in a legible font and limiting the use of emoticons is considered professional behavior. Profanity and participation in hostile interactions, known as flaming, is unprofessional as well as disruptive.

Be polite. Students should address professors and instructors by the appropriate title or requested name. Students should interact online politely, just as they would be expected to do in a physical environment. Sarcasm, rudeness, and writing in all capital letters (shouting) should be avoided.

Technology Statement

In this class we will have a technology policy that is designed to support your attention to one another and to the course material.  We will spend the majority of our time engaged in activities that depend upon you being present and attentive to one another, and course content we will study. We are all challenged these days by the ways in which our digital devices—including laptops, tablets, phones, and watches—can steal our attention away from our immediate surroundings. Technology should be used for educational purposes only during scheduled class times.

Collaboration and Recording (For Online, Hybrid, Hyflex courses)

Sharing personal experiences and opinions is an important part of the learning process. In the (hybrid, hyflex, synchronous, etc.) environment of this course, all of our interactions are recorded (via Zoom, Blackboard Collaborate Ultra, Yuja, etc) and made available to students in the course. The purpose of these recordings is to enhance learning for all students. If your peers make personal statements in this course, consider those comments in the context of our learning goals and do not share them with people outside the course. If you have questions or concerns about any recordings, please contact me.

University of North Dakota Policies & Resources

Academic Integrity

Academic integrity is a serious matter, and any deviations from appropriate behavior will be dealt with strongly. At the discretion of the professor, situations of concern may be dealt with as a scholastic matter or a disciplinary matter.

As a scholastic matter, the professor has the discretion to determine appropriate penalties for the student’s workload or grade, but the situation may be resolved without involving many individuals. An alternative is to treat the situation as a disciplinary matter, which can result in suspension from the University, or have lesser penalties. Be aware that I view this as a very serious matter and will have little tolerance and/or sympathy for questionable practices. A student who attempts to obtain credit for work that is not their own (whether that be on a paper, quiz, homework assignment, exam, etc.) will likely receive a failing grade for that item of work, and at the professor’s discretion, may also receive a failing grade in the course. For more information read the Code of Student Life.

Access and Opportunity, Disability Support, & Medical Services

The University of North Dakota is committed to providing equal access to students with documented disabilities. To ensure access to this class and your program, please contact Disability Services for Students (DSS) to engage in a confidential discussion about accommodations for the classroom and clinical settings. Accommodations are not provided retroactively. Students are encouraged to register with DSS at the start of their program. More information can be obtained by email or by phone at 701.777.2664.


UND is committed to maintaining a safe learning environment while providing quality learning experiences for our students. COVID-19’s continued presence within our UND community may necessitate changes in classroom management as the academic year progresses. As such, UND asks students and instructors to be flexible when necessary to promote a safe environment for learning. Please do not attend an in-person class or lab if you are feeling ill, particularly if you are experiencing symptoms of COVID-19, or if you have been directed by health professionals to quarantine or isolate. If you are not able to attend class or lab, please notify your instructor as soon as possible and discuss options for making up any missed work in order to ensure your ability to succeed in the course. If you will have an extended absence due to serious illness or other uncontrollable circumstances, you may request an absence notification through the Office of Student Rights and Responsibilities. Similarly, if your instructor is ill they may need to cancel class or temporarily move your course to online delivery to ensure that you are able to complete the course successfully.  Instructors may require students to wear masks in the classroom or in the laboratory as a preventative measure designed to facilitate uninterrupted classroom engagement and to facilitate health and safety in the classroom.   If your instructor does require masks in class or in a laboratory, you are expected to comply with that request.

UND also strongly encourages all members of the University community, including students, to get vaccinated, seek out testing when needed, and model positive behavior both on- and off-campus to foster a healthy and safe learning environment for all students. Individuals who would like to discuss disability accommodations regarding masks should contact the Disability Services for Students (DSS) office at 701.777.2664 or Individuals who are unable to wear a mask due to a sincerely held religious belief should contact the UND Equal Opportunity and Title IX Office at 701.777.4171 or

Religious Accommodations

UND offers religious accommodations, which are reasonable changes in the academic environment that enable a student to practice or observe a sincerely held religious belief without undue hardship on the University. Examples include time for prayer or the ability to attend religious events or observe a religious holiday. To request an accommodation, complete the student religious accommodation request form. If you have any questions, you may contact the Equal Opportunity & Title IX Office.

Pregnancy Accommodations

Students who need assistance with academic adjustments related to pregnancy or childbirth may contact the Equal Opportunity & Title IX Office or Academic Affairs to learn about your options. Additional information and services may be found at Pregnancy Resources.

Notice of Nondiscrimination

It is the policy of the University of North Dakota that no person shall be discriminated against because of race, religion, age, color, gender, disability, national origin, creed, sexual orientation, gender identity, genetic information, marital status, veteran’s status, or political belief or affiliation and the equal opportunity and access to facilities shall be available to all. Concerns regarding Title IX, Title VI, Title VII, ADA, and Section 504 may be addressed to Donna Smith, Assistant Vice President for Equal Opportunity & Title IX and Title IX/ADA Coordinator, 102 Twamley Hall, 701.777.4171, or the Office for Civil Rights, U.S. Dept. of Education, 230 S. Dearborn St., 37th Floor, Chicago, IL 60604 or any other federal agency.

Reporting of Discrimination, Harassment, or Sexual Misconduct

If you or a friend has experienced sexual misconduct, such as sexual harassment, sexual assault, domestic violence, dating violence, or stalking, please contact the Equal Opportunity & Title IX Office or UND’s Title IX Coordinator, Donna Smith, for assistance: 701.777.4171;; or visit the Title IX webpage. You may also contact the Equal Opportunity & Title IX office if you or a friend has experienced discrimination or harassment based on a protected class, such as race, color, national origin, religion, sex, age, disability, sexual orientation, gender identity, genetic information, pregnancy, marital or parental status, veteran's status, or political belief or affiliation.

Faculty Reporting Obligations Regarding Discrimination, Harassment, or Sexual Misconduct

It is important for students to understand that faculty are required to share with UND’s Title IX Coordinator any incidents of sexual misconduct or of discrimination or harassment based on a protected class that they become aware of, even if those incidents occurred in the past or are disclosed as part of a class assignment. This does not mean an investigation will occur if the student does not want that, but it does allow UND to provide resources to help the student continue to be successful at UND. If you have been impacted by discrimination, harassment, or sexual misconduct, you can find information about confidential support services on the Equal Opportunity & Title IX webpage..

UND Cares Program

How to Seek Help When in Distress

We know that while college is a wonderful time for most students, however, some students may struggle or have issues that arise. You may experience students in distress on campus, in your classroom, in your home, and within residence halls. Distressed students may initially seek assistance from faculty, staff members, their parents, and other students. In addition to the support we can provide to each other, there are also professional support services available to students through the Dean of Students and University Counseling Center. Both staffs are available to consult with you about getting help or providing a friend with the help that he or she may need. For more additional information, please visit the UND Cares Program Webpage.

How to Recognize When a Student is in Distress

The term “distressed” can mean any of the following:

  • Student has significant changes in eating, sleeping, grooming, spending, or other daily activities.
  • Student has cut off or minimized contact with family or friends.
  • Student has significant changes in performance or involvement in academics, sports, extracurricular, or social activities.
  • Student describes problems (missing class, not remembering, destructive behavior) that result from experiences with drinking or drugs.
  • Student is acting withdrawn, volatile, tearful, etc.
  • Student is acting out of character or different than usual.
  • Student is talking explicitly about hopelessness or suicide.
  • Student has difficulty concentrating or difficulty carrying on a normal conversation.
  • Student has excessive dependence on others for company or support.
  • Student reports feeling out of control of one’s emotions, thoughts, or behaviors.

Land Acknowledgement Statement

Today, the University of North Dakota rests on the ancestral lands of the Pembina and Red Lake Bands of Ojibwe and the Dakota Oyate - presently existing as composite parts of the Red Lake, Turtle Mountain, White Earth Bands, and the Dakota Tribes of Minnesota and North Dakota. We acknowledge the people who resided here for generations and recognize that the spirit of the Ojibwe and Oyate people permeate this land. As a university community, we will continue to build upon our relations with the First Nations of the State of North Dakota - the Mandan, Hidatsa, and Arikara Nation, Sisseton-Wahpeton Oyate Nation, Spirit Lake Nation, Standing Rock Sioux Tribe, and Turtle Mountain Band of Chippewa Indians.

Additional Resources

It is my goal to foster an environment of mutual respect in which everyone feels comfortable voicing their opinions, sharing their stories, and learning about potentially heavy or personally relevant material. If, at any point, you feel like the information covered in this class elicits thoughts, feelings, or concerns that you would like to discuss further, don’t hesitate to reach out to me, or the UND Counseling Center (701-777-2127).

Further, if you experience extenuating circumstances, sexual violence, identity-based harm, or any other personal crisis during the semester, don’t hesitate to reach out to me so we can provide academic assistance and help you in this course, and put you in contact with the appropriate resources and services (if needed).