Syllabus

Science Prerequisites for Health Professionals

MATH 1020: Calculus I – Fall 2024

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 MyOpenMath account for homework assignments and Exams.

Hardware

 UNE-compliant webcam and whiteboard – 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

Each week a series of problems are assigned through MyOpenMath, 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 MyOpenMath at week 8.  The midterm exam covers material from the first eight weeks of the course. A practice midterm exam will be available to help students study. This Exam must be taken though ProctorU. See UNE’s ProctorU page for information about signing up and scheduling your exam. A UNE-compliant 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.  This Exam must be taken though ProctorU. See UNE’s ProctorU page for information about signing up and scheduling your exam. A UNE-compliant 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 Sets26%
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 Functions

Textbook (1.1, 1.2, 1.3, 1.4)

Instructional Videos

Discussion Board 1; File submission practice; 

HW Problem Sets

2

The Limit of Functions

Textbook (1.5, 2.1, 2.2, 2.3)

Instructional Videos

HW Problem Sets

3

Continuity and the Derivative

Textbook (2.4, 2.5, 3.1)

Instructional Videos

HW Problem Sets

4

Derivatives and Rates of Change

Textbook (3.2, 3.3, 3.4)

Instructional Videos

HW Problem Sets

Discussion Board

5

The Chain Rule, Derivatives of Trigonometric and Inverse Functions

Textbook ( 3.5, 3.6, 3.7)

Instructional Videos

HW Problem Sets

6

Exponential, Logarithmic, and Implicit Differentiation With Applications

Textbook (3.8, 3.9, 4.1)

Instructional Videos

HW Problem Sets

7

Differentials, Extrema, and the Mean Value Theorem

Textbook (4.2, 4.3, 4.4)

Instructional Videos

HW Problem Sets

8

Derivatives and the Shape of a Graph & Midterm Exam

Textbook (4.5)

Instructional Videos

Practice Test

HW Problem Sets;

Discussion Board

Midpoint Assessment

9

Project 1, L’Hôpital’s Rule, and Antidifferentiation

 

Textbook (4.6, 4.7, 4.8)

Project 1

HW Problem Sets

10

The Fundamental Theorem of Calculus

Textbook (4.9, 4.10)

Instructional Videos

HW Problem Sets

11

Methods of Integration: Formulas, Substitution, Exponential and Logarithmic

Textbook (5.1, 5.2)

Instructional Videos

HW Problem Sets

12

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

Textbook (5.3, 5.4)

Instructional Videos

HW Problem Sets

13

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

Textbook (5.5, 5.6)

Instructional Videos

HW Problem Sets

14

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

Textbook (5.7, 5.8)

Instructional Videos

HW Problem Sets

Discussion Board

15

Project 2: Integration Project

 

Textbook (6.1, 6.2)

Project 2

HW Problem Sets

16

Final Assessment

Practice Exam

Discussion Board

Final Assessment

Student Resources

Online Student Support

Your Student Support Specialist is a resource for you - they will monitor course progression and provide assistance or guidance when needed. Please don’t hesitate to contact them for assistance, including, but not limited to course planning, course materials, billing, current problems or issues in a course, technology concerns, or personal emergencies.

Questions? Visit the Student Support Science Prerequisites page

Online Peer Support

Togetherall is a 24/7 communication and emotional support platform monitored by trained clinicians. It’s a safe place online to get things off your chest, have conversations, express yourself creatively, and learn how to manage your mental health. If sharing isn’t your thing, Togetherall has other tools and courses to help you look after yourself with plenty of resources to explore. Whether you’re struggling to cope, feeling low, or just need a place to talk, Togetherall can help you explore your feelings in a safe supportive environment. You can join Togetherall using your UNE email address.

Instructor and Support Contact Information

Check Brightspace for specific instructor and support specialist contact information.

Student Lounge

The Student Lounge Discussion Forum 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

Your course may have proctored exams. 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 any required additional software. 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 website, the student will log in to Brightspace and locate their correct exam. The proctor will then allow student access to that exam.

Students must follow all proctoring requirements for their exams to be credited. Please contact your instructor for specific feedback.

Exam Attempts Policy

Students will receive two attempts at all proctored examinations. The higher score of the two attempts will be calculated into the final grade. Students can schedule their second attempt by following the same ProctorU instructions as with the original exam.

All students are encouraged to utilize a second attempt on their exams in order to improve their overall performance in the course.

Course Discussions

Discussion topics cover 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 discussion topic may require you to conduct internet research, read additional materials, visit a specific webpage, AND/OR view a short video before writing a response following the specific guidelines in the discussion topic prompt.

To earn full credit you will need to post a response to the discussion topic, respond to the original posts of other students, and then contribute meaningfully to an ongoing discussion. You may need to post your initial response before you will see any posts from your classmates. 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 Brightspace for a full description, along with specific guidelines, for each discussion topic. 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 is worth.

Technology Requirements

Please review the technical requirements for UNE Online Programs: 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 the enrollment 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. View the incomplete grade policy..

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.

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.

Using Generative AI When Completing Coursework

Generative AI (GenAI) applications (like ChatGPT) have proven to be powerful and effective tools, and students are encouraged to become familiar with and use them. However, as with any tool, students must use GenAI in ways that support learning, not replace it. Learning to use AI responsibly and ethically is an important skill in today’s society.

In their courses, students are not allowed to use advanced automated tools, such as generative AI tools, on assignments unless explicitly directed to do so. Each student is expected to complete each assignment, including labs and quizzes as applicable, without substantive assistance from others, including automated tools.

Using AI-content generators to complete assignments without proper attribution violates academic integrity. By submitting assignments in UNE courses, you pledge to affirm that they are your own work and you attribute use of any and all tools and sources.

Unauthorized Use

Unauthorized use of AI is treated as a violation of academic integrity.

Citing AI Use

If permitted, students should indicate and cite any use of AI tools. 

Instructor responsibility

Instructors should clearly reiterate, using UNE Online’s Policy, how students can use AI tools in their courses, and communicate this policy to students at the beginning of the semester. 

Student responsibility

Students must follow the academic integrity policy of the University of New England.