Syllabus

Science Prerequisites for Health Professionals

MATH 1021: Calculus II – Summer Session 2024

Credits - 4

Description

This course continues the study of calculus. More techniques of integration will be investigated in this course. The concepts of limits, differentiation, and integration will be applied to problems in differential equations, sequences, series, and Taylor series. Parametric equations, polar coordinates, and vectors will also be introduced. (Calculus 1 is a prerequisite for this course).

Resources Section/Technology

Students will be instructed in utilization of technology.  Online, freely available technology will often be recommended. Student calculations will be submitted via WebAssign mathematical editor for online homework. Students will utilize email and/or Blackboard for written communication.

Prerequisite Knowledge

An understanding of the topics and core concepts in Calculus I is prerequisite knowledge for Calculus II.

Materials

Textbooks

Herman, E., & Strang, G. Calculus volume 2. CC BY-NC-SA 4.0. 

Digital Platforms

Students will need a Cengage WebAssign account for homework assignments.

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 II.
    1. Review of integration:  Area approximation, substitution methods, The Fundamental Theorem of Calculus, exponential, logarithmic, and inverse trigonometric functions.
    2. Advanced integration techniques:  Integration by parts, trigonometric integrals, integration using trigonometric substitution, integration using partial fractions, numerical integration, improper integrals.
    3. Differential equations:  Direction/slope fields, numerical solutions, separable differential equations, first-order linear equations.
    4. Sequences and series:  Introduction to sequences and series, infinite series, tests for convergent series.
    5. Taylor and Maclaurin series: Definition of Taylor and Maclaurin series, power series.
    6. Polar coordinates: Explanation of the polar coordinate system, integration using polar equations, conic sections in polar coordinates.
    7. Parametric equations: Introduction to parametric equations, calculus using parametric curves
    8. Vectors: Introduction to vectors, dot product, cross product, equations of lines and planes in space.
  2. Utilize numerical, graphical, analytical and approximation models in pure and applied settings.
  3. Develop visual literacy of Calculus II concepts through graphical analysis.
  4. Communicate mathematical concepts and apply complex symbolic representation in written, verbal, and technological settings.
  5. Develop the ability to identify and apply multiple mathematical problem-solving techniques for a specific situation.
  6. Gain further knowledge appropriate to a single variable calculus course of mathematical definitions and proofs of key theorems.

Assignments

Applied Problems

Four applied problems are assigned within Brightspace. You will either type up your solutions in a word or PDF document or take a picture of your hand-written solutions and upload it to Brightspace. 

Homework Problem Sets

Six 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 (4)

There will be a total of four discussion boards in the course.  The 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

A midterm exam will take place in WebAssign at week four.  A practice midterm exam will be available to help students study. This exam must be taken with the Respondus Lockdown Browser.

Final Exam

A final exam will take place in WebAssign at week six. A practice exam will be available to help students study. This exam must be taken with the Respondus Lockdown Browser. 

Grading Policy

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

Grade Breakdown

AssignmentGrade
Applied Problems (4)15%
Midterm Assessment20%
Final Assessment20%
Homework Problem Sets30%
Discussion Boards15%
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

All weekly assignments are due by 11:59 PM ET at the end of the appropriate week. Check your course for additional due dates within the week.

Week 1: May 20 – May 26
Week 2: May 27 – Jun 2
Week 3: Jun 3 – Jun 9
Week 4: Jun 10 – Jun 16
Week 5: Jun 17 – Jun 23
Week 6: Short Week Jun 24 – Jun 28

Week

Content Due Dates

1

Chapter 1, Modules 1 & 2

Homework: Sunday 11:59 PM

Introduction Discussion

Discussion: Initial Post: Friday, 11:59 PM, Responses: Sunday, 11:59 PM

2

Chapters 2-3.3, Modules 3 & 4

Homework: Sunday, 11:59 PM

Applied Problem 1: Sunday, 11:59 PM

3

Chapter 3.4-3.7, Chapter 4, Modules 5, 6, 7

Homework: Sunday 11:59 PM

Applied Problem 2: Sunday, 11:59 PM

Discussion: Initial Post: Friday, 11:59 PM, Responses: Sunday, 11:59 PM

4

Chapter 5, Module 8 & 9

Practice Midterm Exam

Midterm Exam

Homework: Sunday, 11:59 PM

Discussion: Initial Post: Wednesday, 11:59 PM, Responses: Friday, 11:59 PM

Applied Problem 3: Sunday, 11:59 PM

Exam: Sunday, 11:59 PM

5

Chapter 6, Chapter 7.1-7.2, Modules 10 & 11

Homework: Sunday 11:59 PM

6

Chapters 7.3-7.5, Module 12

Practice Final Exam

Final Exam

Homework: Friday, 11:59 PM

Discussion: Monday, 11:59 PM, Responses: Wednesday, 11:59 PM

Applied Problem 4: Friday, 11:59 PM

Exam: Friday, 11:59 PM

 

Student Resources

Accommodations

Any student who would like to request, or ask any questions regarding, academic adjustments or accommodations must contact the Student Access Center at (207) 221-4438 or pcstudentaccess@une.edu. Student Access Center staff will evaluate the student's documentation and determine eligibility of accommodation(s) through the Student Access Center registration procedure.

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.

Information Technology Services (ITS)

Students should notify their Student Support Specialist and instructor in the event of a problem relating to a course. This notification should occur promptly and proactively to support timely resolution.

ITS Contact: Toll-Free Help Desk 24 hours/7 days per week at 1-877-518-4673.

Career Ready Program

The College of Professional Studies supports its online students and alumni in their career journey!

The Career Ready Program provides tools and resources to help students explore and hone in on their career goals, search for jobs, create and improve professional documents, build professional network, learn interview skills, grow as a professional, and more. Come back often, at any time, as you move through your journey from career readiness as a student to career growth, satisfaction, and success as alumni.

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.

  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.