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
Learning Objectives and Outcomes
By the end of this course, you will be able to:
- Apply the core concepts of differential and integral calculus to solve problems in Calculus 1.
- Limits and Continuity: Graphical interpretation, numerical approximation, limit laws, Squeeze Theorem, Intermediate Value Theorem, tangent and velocity problems, L’Hopital’s rule
- Derivatives: Formal definition of a derivative, Delta – Epsilon proofs, differentiation rules, trig formulas, chain, product and quotient rules, implicit and logarithmic differentiation
- Applications of the derivative: Rates of change, related rates, Mean Value Theorem. curve sketching, local and absolute extrema, optimization, linear approximations, Newton’s method.
- Integrals: Approximating areas, antidifferentiation, Riemann sums, Fundamental Theorem of Calculus, definite and indefinite integrals, substitution methods
- 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
- Utilize numerical, graphical, analytical and approximation models in pure and applied settings.
- Communicate mathematical concepts and apply complex symbolic representation in written, verbal, and technological settings.
- 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 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. 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. 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. 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
| Assignment | Grade |
|---|---|
| Project 1 | 16% |
| Project 2 | 16% |
| Midpoint Assessment | 16% |
| Final Assessment | 16% |
| Homework Problem Sets | 26% |
| Discussion Boards (5 x 2 points) | 10% |
| Total | 100% |
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
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? Submit your student support request.
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. Please see your course for full details, access, testing requirements, and guidelines.
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.
All students are encouraged to use 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.
- Courses in the SPHP program are equivalent to one-semester courses designed to be completed in 16 weeks
- Enrollment in the course begins the day your section opens which is listed in the Academic Calendar found on the Student Success Portal.
- 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:
- Cheating, copying, or the offering or receiving of unauthorized assistance or information.
- Fabrication or falsification of data, results, or sources for papers or reports.
- Action which destroys or alters the work of another student.
- Multiple submission of the same paper or report for assignments in more than one course without permission of each instructor.
- 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.