MATH 146 02: Applied Calculus I

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MATH 146 - Applied Calculus I

2023 Spring Syllabus, Section 02, CRN 6429

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.

Essential Studies

Learning Goal:  Quantitative Reasoning

This course addresses the Essential Studies learning goal of Quantitative Reasoning.  This means it will focus on how you can become competent and comfortable when working with numbers and graphic displays of information based on numbers.

More specifically, quantitative reasoning is competency and comfort in working with numerical data, using it to reason and solve quantitative problems from a wide array of authentic contexts and everyday life situations, and to create and clearly communicate sophisticated arguments supported by quantitative evidence, such as by using words, tables, graphs, mathematical equations, etc., as appropriate.  You should expect to focus on these intellectual skills as part of this course.

Breadth of Knowledge Area:  Math, Science, and Technology

This is an Essential Studies Math, Science, & Technology course.  It therefore fits into the following subarea:

Mathematics: 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.
  • ES 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.
Special Emphasis Area:  Quantitative Reasoning

This course is an Essential Studies Special Emphasis course in Quantitative Reasoning, which means it must emphasize improving your confidence with mathematics, your ability to interpret data, your ability to make decisions using data, your ability to use mathematics in academic and practical contexts, and your number sense.

Assignments in this course should help you become comfortable with quantitative ideas and at ease in applying quantitative methods.  They should help you reason with numbers, data, and graphs, including being able to make inferences based on this type of information.  This includes being able to use these quantitative skills to make decisions and solve problems in everyday life, thereby making mathematics and mathematical proficiency a powerful tool for living, as engrained in your intellectual toolkit as reading and speaking.

ES Quantitative Reasoning courses should also help you by requiring you to use mathematical and quantitative tools in context – and not just as part of abstract problem solving.  This may include civic, professional, or personal situations that you may be likely to encounter.  Assignments should help you build accurate intuition about the meaning of numbers, confidence in estimation, and common sense about employing numbers to measure things.

Times and Location

MWF 1:25pm-2:15pm in UND Witmer Hall, Rm 305

MWF 12:20pm-1:10pm in UND Witmer Hall, Rm 305

This is an on-campus course.  Students are required to attend class in person. This is not an optional on-line class

Instructor Information

Mary Dietz

Email: Mary.Dietz@ndus.edu

Office: 314A Witmer Hall

2023 Spring Office Hours:
See Blackboard

Course Description

A nonrigorous introduction to differential and integral calculus. Topics include limits, continuity, differentiation and integration techniques, and applications.

Course Materials

Ebook/textbook Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach, (tenth edition) by S.T. Tan, along with WebAssign. 

Please go to Blackboard under the Syllabus folder and you will see a folder entitled ‘Cengage. WebAssign Getting Started’.  The link will answer all your questions about the text and WebAssign package.

You can purchase this bundle directly from www.webassign.com but please use the link in Blackboard when you access WebAssign or you may not get your account in Cengage WebAssign linked to Blackboard resulting in no credit for homework. 

With Cengage Unlimited you can access any Cengage materials you are using across all of your courses and a library of eBooks, study guides, and reference materials.  This may be the most cost-effective option for those taking another course using Cengage materials. You can purchase access to Cengage Unlimited at www.cengage.com.

Technical Requirements/Assistance

For technical assistance, please contact UND Tech Support at 701-777-2222. For a list of Technical Requirements please visit the website. Visit techsupport.und.edu for their hours, help documents and other resources.

Students will need a computer/laptop.

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
  • Download and open electronic documents
  • Create, save, and upload/attach electronic  multi-page pdf documents to Blackboard
  • Send, receive, and manage email

Access & Navigation

This course was developed and will be facilitated utilizing Blackboard. To get started with the course, please go to: http://blackboard.und.edu. You will need your NDUS.Identifier, Username and Password to log in to the course. If you do not know your NDUS Identifier or have forgotten your password, please go to: http://www1.und.edu/uit/ndus.cfm.

Course Logistics

Course Overview

This course uses the program, WebAssign by Cengage, for homework assignments and possibly quizzes and exams.  The assignments are created to help students achieve the outcomes listed in the syllabus.  There are WebAssign assignments due once or twice a week and there are in-class quizzes as well as two non-cumulative exams.  You can expect each lecture to begin with any questions you have on homework followed by a lecture in which you may participate with comments/questions.

Course Objectives

  • Differentiate different types of functions and build an understanding of mathematical modeling, or how to use functions and data to model real-world situations. 
  • Develop conceptual understanding and fluency with algebraic functions including exponential and logarithmic functions.
  • Skills and techniques of calculus such as differentiation and integration as well as applications of these techniques including graphing and real-world applications.
  • Understand and evaluate limits using algebraic manipulation.
  • Communicate the algorithms used above with correct mathematical notation.

Course Requirements/Expectations

Student Expectations
  • The student should have adequately retained material from intermediate algebra as prerequisites state.
  • The student will review the syllabus, announcements, and course schedule posted on Blackboard.
  • The student will access and follow all course instructions including those in the online homework (WebAssign) via Blackboard.
  • The student will participate in lectures/discussions on campus and take quizzes/exams during class.
  • The student will watch any videos found in Blackboard Lesson folders and in WebAssign if needed.
  • The student will complete all homework assignments on time and take exams on the specified dates.
Instructor Expectations
  • The instructor is a guide and will support the student's understanding of calculus.
  • The instructor will present lectures and answer questions in the classroom and help with specific problems during office hours.
  • The instructor will answer questions that are emailed during the scheduled class hours.
  • The instructor will provide feedback on quizzes and exams and any other questions during office hours or during class.
  • The instructor will post announcements on Blackboard concerning schedule changes or class cancellations.

Where to Begin

As soon as the course begins or shortly before, there are a few things the student will need to do.

  • Go to Blackboard and read the syllabus and the announcements.
  • Purchase access to WebAssign by first going into WebAssign via Blackboard.  You will find the link in the menu. WebAssign gives access to the eBook as well as the online homework that is required.

WebAssign does have a trial period that ends after the first week of the semester. Need help?  Visit startstrong.cengage.com.

Calculators might be helpful for homework but are not to be relied upon completely.  All you need for WebAssign homework is a calculator with exponents and logarithms.

 

Schedule

WEEK 1:   2.1 Functions and their Graphs

WEEK 2:   2.2 The Algebra of Functions, 2.3 Functions and Mathematical Models

WEEK 3:   2.4 Limits and limits at Infinity

WEEK 4:   2.5 One-Sided Limits and Continuity

WEEK 5:   2.6 Differentiability and Continuity, 3.1 Basic Rules of Differentiation

WEEK 6:   3.2 The Product and Quotient Rules, 3.3 The Chain Rule

WEEK 7:   3.5 Higher-Order Derivatives

WEEK 8:   Review and Exam on Chapters 2 and 3

WEEK 9:   4.1 and 4.2 Applications of the First and Second Derivatives

WEEK 10: 4.3 Curve Sketching and Asymptotes

WEEK 11: 4.4 Optimization and Absolute Extrema, 5.1 Exponential Functions

WEEK 12: 5.4 Differentiation of Exponential Functions

WEEK 13: 5.2 Logarithmic Functions

WEEK 14: 5.5 Differentiation of Logarithmic Functions

WEEK 15: 6.1 Antiderivatives and Rules of Integration, and area

WEEK 16: 6.3  Area and the Definite Integral and Review

For a detailed schedule of due dates and exam dates, see WebAssign and Blackboard.

How Students Should Proceed Each Week for Class Activities

On the left side course menu in Blackboard, there is a Lessons/Videos 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 the WebAssign tab in the left side course menu of Blackboard and start the homework.

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.

Course Outline and Objectives

We will cover most of the sections in chapters 2-6 of the text. Chapter 2 discusses functions, limits, and the derivative, chapter 3 gives a thorough treatment of differentiation, chapter 4 examines applications of the derivative, chapter 5 looks at exponential and logarithmic functions, and chapter 6 overviews integration.  The following lists contain more specific objectives for the five chapters:

Chapter 2:  Evaluate functions and specify domains; connect a function with its graph; create new functions using algebra and composition, and find their domains; evaluate limits; determine whether a function is continuous at x; the meaning of derivatives and use of the four-step process to find a derivative.

Chapter 3:  Basic rules of differentiation to find derivatives; marginal functions; higher order derivatives.

Chapter 4:  Determine intervals of increase or decrease for a function and find relative extrema; determine intervals of concavity for a function and find inflection points; use these to sketch the essential graph of a function; find absolute extrema on a closed interval.

Chapter 5:  Evaluate and sketch exponential and logarithmic functions, Derivatives of Exponential and Logarithmic functions; solve logarithmic and exponential equations and problems.

Chapter 6:  Indefinite integrals and basic rules of integration; find the area of a region using the Fundamental Theorem of Calculus.

Communication

Announcements will be posted in Blackboard. Be sure to read them regularly.  You are encouraged to email if you have questions, however, due to the complexity of typing math equations, most responses to email questions will be answered in class.   I typically do not answer emails outside of the hours from 8 am to 5 pm.  Please do not wait until the last day to work on your assignments.

Course Policies

Calculators

You will not be allowed to use a calculator on most quizzes and exams in this course. For the few times that you might use a calculator, a calculator will be provided.

Homework

Your homework is found on WebAssign and Blackboard. Follow the link in Blackboard to WebAssign. There are one or more WebAssign assignments (due on different days). Each homework has a due date/deadline and extensions are not given.

In-class activities and Quizzes

There will be frequent or daily in-class activities (due during your regular class hour). No make-ups are given for homework, quizzes, or Participation worksheets. You must participate physically (by being present in the classroom) to receive credit for quizzes, worksheets, and exams.

Tests

There will be two in-class tests. Make-up tests will be given only in emergency situations and only if I AM NOTIFIED BEFORE the TEST TIME.  Any excused absences (with prior notification and approval) on test days will result in taking a make-up test on Reading and Review Day.   Make-up exams may be more difficult than the regular test.  You may not use cell phones during the tests.  Anyone that is found to be cheating on a test will automatically receive a score of 0 for that test.

Late Work

Late work is not accepted.  This course moves along quickly and trying to catch up is not

optimal so complete homework on time or early.

Grading

Homework and quizzes are worth 20 points each, however, the averages are weighted as follows.

Grading Scale

WebAssign HW 25%
In-class activities/Quizzes 35%
Exams (20% each) 40%

Final grades will be determined by the scale:
 A: 90-100%     B: 80-89%     C: 70-79%     D: 60-69%     F: 0-59%

Academic Misconduct

Academic misconduct of any kind will not be tolerated.  I consider a zero on the test or assignment in question to be the minimal consequence for any academic misconduct.

Attendance

Attendance will not be taken each day; however, attendance is strongly recommended since there are Quizzes or Participation worksheets that will only be available during class. It is your responsibility to watch Blackboard and WebAssign for important Assignments/due dates and any changes thereof. 

Miscellaneous

Please turn off or silence all cell phones before entering class.  You will not be permitted to wear earbuds during any quiz or exam.

Please feel free to ask questions either in class or outside of class if you have problems.  I am here to help you.

The Learning Center, Witmer Hall Room 310, is open daily for you to use.  The learning center provides a space to work and free tutoring during its hours of operation. There is also tutoring in the Via Starfish. Times will be posted.

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 UND.dss@UND.edu or by phone at 701.777.2664.

COVID-19

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 UND.dss@UND.edu. 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 UND.EO.TitleIX@UND.edu.

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, UND.EO.TitleIX@UND.edu 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; donna.smith@UND.edu; 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).