Syllabus

Science Prerequisites for Health Professionals

MATH 1020: Calculus I

Credits - 4

Description

This course focuses on single variable calculus through graphical, analytical, and numerical techniques. Differentiation and its applications are thoroughly discussed. Basic integration techniques are introduced. Mathematical manipulation and computational competence is equally weighted with the ability to analyze, evaluate, synthesize and form accurate decisions using relevant information in applied settings.

Prerequisite Knowledge

Mastery of algebra and trigonometry is assumed in this course, as well as general mathematical problem solving. Without the use of technology, students are expected to demonstrate proper mathematical notation, definitions, and algebraic manipulation of the following types of functions: polynomial, rational, exponential, logarithmic, sinusoidal and their inverses.

Materials

Textbooks

Herman, E., & Strang, G. Calculus volume 1. CC BY-NC-SA 4.0. 

Digital Platforms

Students will need a Cengage WebAssign account for homework assignments.

Hardware

Mandatory UNE-approved webcam – To be used during proctored exam

Calculators: The TI-83 and TI-84 family of calculators are approved for use on the proctored Midpoint and Final Exams of the course. It is recommended that a student has access to one of these calculators and is familiar with how to use it. If a student is unfamiliar with how to use the functionality of the calculator, a simple internet search will offer many examples. Simply search for the topic and the model of calculator that you have. For example, a student could search for, “Finding limits numerically TI-83.”

Learning Objectives and Outcomes

By the end of this course, you will be able to:

  1. Apply the core concepts of differential and integral calculus to solve problems in Calculus 1.
    1. Limits and Continuity: Graphical interpretation, numerical approximation, limit laws, Squeeze Theorem, Intermediate Value Theorem, tangent and velocity problems, L’Hopital’s rule
    2. Derivatives: Formal definition of a derivative, Delta – Epsilon proofs, differentiation rules, trig formulas, chain, product and quotient rules, implicit and logarithmic differentiation 
    3. Applications of the derivative: Rates of change, related rates, Mean Value Theorem. curve sketching, local and absolute extrema, optimization, linear approximations, Newton’s method.
    4. Integrals: Approximating areas, antidifferentiation, Riemann sums, Fundamental Theorem of Calculus, definite and indefinite integrals, substitution methods
    5. Applications of Integration: Area under and between curves, volumes of revolutions, arc length, work, hydrostatic force, moments and centers of mass, exponential growth and decay models, hyperbolic functions
  2. Utilize numerical, graphical, analytical and approximation models in pure and applied settings.
  3. Communicate mathematical concepts and apply complex symbolic representation in written, verbal, and technological settings.
  4. Develop the ability to identify and apply multiple mathematical problem-solving techniques for a specific situation.

SELF PACED DESIGN

On the course start date, students will have access to orientation. This must be completed to be able to gain access to the first module in the course. Students must complete the first module to gain access to the next one. We recommend that students spend about 15 hours per week to complete a course in 16 weeks. When trying to complete the course in less than 16 weeks, we typically see students do this successfully within 12-14 weeks. Instructors will be timely in grading and feedback, but it will not be instant.

Assignments

Project 1

In Project 1, you will apply your knowledge of limits and iterative processes. 

Project 2

In Project 2, you will apply your knowledge of integration. 

Homework Problem Sets (13)

Thirteen problem sets are assigned through Webassign, an online homework tool. The problem sets typically cover problems from three different sections of the text, plus a recap and review section each week. Students can retry problems up to five times if they get questions wrong.

Discussion Boards (5)

There will be a total of five discussion boards in the course.  The first discussion board is an introductory discussion. The other four discussion boards are designed to encourage students to reflect on their learning process and collaborate with one another on problems in the course that are challenging them. 

Midpoint Exam (Proctored) 

A midterm exam will take place in Brightspace at week nine.  The midterm exam covers material from the first eight weeks of the course. A practice midterm exam will be available to help students study. You must receive a 70% average on homework problem sets 1-8 to access the midpoint exam. This Exam must be taken though ProctorU. See UNE’s ProctorU page for information about signing up and scheduling your exam. The official UNE webcam is required (see Course Materials section above for more information). 

Final Exam (Proctored) 

A final exam will take place in Brightspace at week fifteen.  This exam will cover material from weeks ten to fourteen. A practice exam will be available to help students study. You must receive a 70% average on homework problem sets 10-14 to access the midpoint exam. This Exam must be taken though ProctorU. See UNE’s ProctorU page for information about signing up and scheduling your exam. The official UNE webcam is required (see Course Materials section above for more information). 

Grading Policy

Your grade in this course will be determined by the following criteria:

Grade Breakdown

AssignmentGrade
Project 116%
Project 216%
Midpoint Assessment16%
Final Assessment16%
Homework Problem Sets (13 x 2 points)26%
Discussion Boards (5 x 2 points)10%
Total100%

Grade Scale

Grade Points Grade Point Average (GPA)
A 94 – 100% 4.00
A- 90 – 93% 3.75
B+ 87 – 89% 3.50
B 84 – 86% 3.00
B- 80 – 83% 2.75
C+ 77 – 79% 2.50
C 74 – 76% 2.00
C- 70 – 73% 1.75
D 64 – 69% 1.00
F 00 – 63% 0.00

Schedule

Week

Topic

Readings/Resources

Assignments

1

Introduction to Limits

Textbook (2.1, 2.2, 2.3)

Instructional Videos

Discussion Board 1; File submission practice; 

HW Problem Sets

2

Limits, Continuity, and the Derivative 

Textbook (2.4, 2.5, 3.1)

Instructional Videos

HW Problem Sets

3

Derivatives and Rates of Change

Textbook (3.2, 3.3, 3.4)

Instructional Videos

HW Problem Sets

4

The Chain Rule, Derivatives of Trigonometric and Inverse Functions 

Textbook (3.5, 3.6, 3.7)

Instructional Videos

HW Problem Sets

Discussion Board

5

Exponential, Logarithmic and Implicit Differentiation Applications

Textbook ( 3.8, 3.9, 4.1)

Instructional Videos

HW Problem Sets

6

Differentials, Extrema, and the Mean Value Theorem

Textbook (4.2, 4.3, 4.4)

Instructional Videos

HW Problem Sets

7

Derivatives and the Shape of a Graph

Textbook (4.5, 4.6, 4.7)

Instructional Videos

HW Problem Sets

8

L’Hopital’s Rule, Newton’s Method, and Antidifferentiation 

Textbook (4.8, 4.9, 4.10)

Instructional Videos

HW Problem Sets;

Discussion Board

9

Project 1: Derivative Project

Midpoint Assessment

Practice Test

Project 1

Midpoint Assessment

10

The Fundamental Theorem of Calculus

Textbook (5.1, 5.2, 5.3)

Instructional Videos

HW Problem Sets

11

Methods of Integration: Formulas, Substitution, Exponential and Logarithmic

Textbook (5.4, 5.5, 5.6)

Instructional Videos

HW Problem Sets

12

Inverse Trigonometric Integrals, Area Between Two Curves, and Volume-Slicing Method

Textbook (5.7, 6.1, 6.2)

Instructional Videos

HW Problem Sets

13

Volume by Cylindrical Shells, Arc Length, Surface Area and Physical Applications 

Textbook (6.3, 6.4, 6.5)

Instructional Videos

HW Problem Sets

14

Physical Applications: Moments, Centers of Mass, Exponential Growth and Decay, and Hyperbolic Functions

Textbook (6.6, 6.8, 6.9)

Instructional Videos

HW Problem Sets

Discussion Board

15

Project 2: Integration Project

Final Assessment

Practice Test

Project 2

Final Assessment

16

Catch Up Week

 

Discussion Board

Student Resources

Student Portal: Your Best UNE Resource

We created the UNE Online Student Portal, specifically for you, to be a useful collection of information to support you as you navigate your online course(s).

From the UNE Online Student Portal, you can access:

  • Blackboard/Brightspace
  • Technical Support
  • Library
  • Bookstore
  • UNE Email
  • U-Online

The portal also features:

  • Dates to Remember
  • Support and Services
  • Contact information for your Support Specialist
  • Academic Resources - links to the Academic Calendar, Registrar and Academic Calendar
  • Financial - links to eBilling, Financial Aid and Student Accounts

Instructor and Support Contact Information

Check Blackboard/Brightspace for specific instructor and support specialist contact information.

Further Assistance

Your student service advisor monitors course progression and provides assistance or guidance when needed. They can assist questions regarding ordering course materials, University policies, billing, navigating the course in Blackboard/Brightspace, and more.

Student Lounge

The Student Lounge Discussion Board is a designated support forum in which students may engage with each other and grapple with course content. Feel free to post questions, seek clarification, and support each other, but be mindful of UNE's Academic Integrity Policy.

Your instructor will monitor this forum. However, if you are seeking specific and timely answers to questions about course content or your personal grades, please contact your instructor via course messages. For questions about course materials, program policy, and how to navigate and proceed through the course, please contact your Student Service Advisor through the Student Portal.

Policies

Proctored Examinations

The University of New England has contracted with ProctorU to provide students with the most convenient online exam proctoring system. This system provides a simple, no cost to the student, secure, online proctor for exams and allows the student to take all the exams at home and on their own schedule.

Upon enrollment into the course, each student will register with ProctorU and establish a login name and password. This will give the student access to all of ProctorU's services. When ready, students will schedule each of their proctored exams with ProctorU. Exams must be scheduled at least 72 hours in advance to avoid fees. Prior to taking their exams, students must be sure that they have downloaded the ProctorU Chrome or Firefox extension and are using the most current version of Chrome or Firefox. They must also be sure their testing site's connection meets the minimum requirements by using ProctorU's "Test It Out" utility.

Upon the exam day and hour, students will log in to ProctorU and click on "exams". After following the procedures outlined at ProctorU's web site, the student will log in to Blackboard/Brightspace and locate their correct exam. The proctor will then allow student access to that exam.

Students must use ProctorU and must follow all proctoring requirements for their exams to be credited.

Proctored exams are not available for review at any time. You will not be able to see the questions, nor the answers you've given, after completing the exams. Please contact your instructor for specific feedback.

Course Discussions

Discussion board assignments cover interesting current events or materials related to this course that contribute to a deeper understanding of key concepts and allow you to interact with your classmates and the instructor. Each assignment may require you to conduct internet research, read additional materials (a short journal or magazine article), visit a specific webpage, AND/OR view a short video prior to writing a response following the specific guidelines in the assignment.

To earn full credit: you will need to post a response to the discussion topic, respond to the original posts of at least two other students, and then contribute meaningfully to an ongoing discussion. You will need to post your initial response before you will see any posts from your classmates. Please keep in mind that only this initial response is included in your assignment grade, so make sure you have followed all of the guidelines and written a complete response prior to submitting the post. For special cases where one or two students are accelerating faster through the course, the instructor will participate in the discussion so that everyone has the opportunity to interact.

Please see Blackboard/Brightspace for a full description, along with specific guidelines, for each assignment. Discussion board assignments should be completed, along with all other assignments in the course, in the order that they appear. Due to the course design, you may be unable to take a proctored exam if you do not complete all assignments that appear prior to that exam.

Please also refer to the Grading Policy/Grade Breakdown section of the syllabus to learn the percentage of your grade that each discussion board assignment is worth.

Technology Requirements

Please review the technical requirements for UNE Online Graduate Programs: https://online.une.edu/online-learning/technical-requirements/

Course Length

A schedule of lectures and assignments is included in this syllabus. This is, however a self-paced course and you can complete the course in less time.

  1. Courses in the SPHP program are equivalent to one-semester courses designed to be completed in 16 weeks
  2. Enrollment in the course begins the day your section opens which is listed in the Academic Calendar found on the Student Success Portal.
  3. Course start and end dates are in respect to Eastern Time.

Withdrawal and Refund Policies

Please visit this page to review the withdrawal and refund policies.

Grade Policy

Students are expected to attempt and complete all graded assignments and proctored exams by the end date of the course. To view the incomplete grade policy, please click here.

Transcripts

Due to the Family Educational Rights and Privacy Act, only the student may request official transcripts. This may be done online by going to the University of New England Registrar website and following the directions on the page.

To view your unofficial UNE student transcript:

  1. Log into uonline at https://uonline.une.edu
  2. Select Student Services
  3. Select Student Records
  4. Select Academic Transcript

To request your official UNE student transcript:

Please review your Unofficial Transcript prior to requesting an Official Transcript.

  1. Log into uonline at https://uonline.une.edu
  2. Select Student Services
  3. Select Student Records
  4. Select Request Printed/Official Transcript
  5. Follow the prompts

After you click Submit Request, your official transcript will be put into the queue to be printed in the Registrar’s Office.

Academic Integrity

The University of New England values academic integrity in all aspects of the educational experience. Academic dishonesty in any form undermines this standard and devalues the original contributions of others. It is the responsibility of all members of the University community to actively uphold the integrity of the academy; failure to act, for any reason, is not acceptable.

Academic dishonesty includes, but is not limited to the following:

  1. Cheating, copying, or the offering or receiving of unauthorized assistance or information.
  2. Fabrication or falsification of data, results, or sources for papers or reports.
  3. Action which destroys or alters the work of another student.
  4. Multiple submission of the same paper or report for assignments in more than one course without permission of each instructor.
  5. Plagiarism, the appropriation of records, research, materials, ideas, or the language of other persons or writers and the submission of them as one's own.

Charges of academic dishonesty will be reviewed by the Program Director. Penalties for students found responsible for violations may depend upon the seriousness and circumstances of the violation, the degree of premeditation involved, and/or the student’s previous record of violations. Appeal of a decision may be made to the Dean whose decision will be final. Student appeals will take place through the grievance process outlined in the student handbook.