Science Prerequisites for Health Professionals

MATH 1021: Calculus II – Summer 2022

Credits - 4


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 homeworks. 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.

Student Letter and Resource Guide

Please use this guide as a resource throughout the semester. It contains a variety of helpful external video resources.



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.


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

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.


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.


Project 1

Project one is an application of calculus to a problem in epidemiology.  Students will follow steps in a document to create a solution for the problem.  Students will then compile their results and present them in a slideshow presentation.

Project 2

Project two applies what students have learned in the course to a problem in pharmacokinetics.  Students will follow the steps in a document to create a series to represent the concentration of a drug in the bloodstream of a patient.  Students will then use the series to answer questions about the dosage, potency, and frequency of drug administration.  Students will type up their solutions using the online LaTeX editor, Overleaf.

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.  Students can retry problems if they get questions wrong.

Discussion Boards (5, 4 apply to final grade)

There will be a total of five discussion boards in the course.  The first discussion board is an introductory discussion and is not for credit.  The other four discussion boards are designed to encourage students to collaborate with one another on problems in the course that are challenging them.  Students will ask questions then, later on in the course, will respond to questions for credit.

Midpoint Cumulative Exam (Proctored)

A midterm exam will take place in Blackboard at week eight.  The midterm exam covers chapters one, three, and four.  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. The official UNE webcam is required (see Course Materials section above for more information). 

Final Cumulative Exam (Proctored) 

A final exam will take place in Blackboard at week sixteen.  This exam will cover material from weeks eight to sixteen.  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. The official UNE webcam is required (see Course Materials section above for more information). 

Proctored exams are closed for review. You will not be able to review them at any time. Please contact your instructor for specific feedback.

Grading Policy

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

Grade Breakdown

Project 110%
Project II10%
Midpoint Assessment20%
Final Assessment20%
Homework Problem Sets (13 x 2 points)26%
Discussion Boards (4 x 3.5 points)14%

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







Review of Integration (Part 1)

Textbook (1.1, 1.2, 1.3)

Instructional Videos

Introductory Discussion Board 1; 

HW Problem Sets


Review of Integration (Part 2)

Textbook (1.4, 1.5, and 1.6)

Instructional Videos

HW Problem Sets


Integration By Parts and Trigonometric Integrals

Textbook (3.1, 3.2, and 3.3)

Instructional Videos

HW Problem Sets


Integration Techniques

Textbook (3.4, 3.6, and 3.7)

Instructional Videos

HW Problem Sets

Discussion Board 2


Introduction to Differential Equations

Textbook ( 4.1, 4.2, and 4.3)

Instructional Videos

HW Problem Sets


The Logistic Equation and First-Order Linear Equations

Textbook (4.4 and 4.5)

Instructional Videos

HW Problem Sets


Project 1: Differential Equations in Epidemiology 


Project 1; Discussion Board 3


Sequences, Series, and Calculus

Textbook (5.1, 5.2, and 5.3)

Instructional Videos

HW Problem Sets;

Practice Test; 

Midpoint Cumulative Assessment


Sequences and Series (Part 2) 

Textbook (5.4, 5.5, and 5.6)

Instructional Videos

HW Problem Sets


Project 2: Concentration of a Drug in a Body


Project 2; Discussion Board 4


Taylor and Maclaurin Series

Textbook (6.1, 6.2, and 6.3)

Instructional Videos

HW Problem Sets


Taylor Series and Parametrization

Textbook (6.4, 7.1, and 7.2)

Instructional Videos

HW Problem Sets


Polar Coordinates

Textbook (6.4, 7.1, and 7.2)

Instructional Videos

HW Problem Sets; Discussion Board 5


Vectors in Space

Textbook (2.1, 2.2, and 2.3)

Instructional Videos

HW Problem Sets


Vectors in Space (Part 2)

Textbook (2.4, 2.5, and 2.6)

Instructional Videos

HW Problem Sets


Final Cumulative Assessment


Practice Test; 

Final Cumulative Assessment

Student Resources

Online Student Support

Your Student Support Specialist is a resource for you. Please don’t hesitate to contact them for assistance, including, but not limited to course planning, current problems or issues in a course, technology concerns, or personal emergencies.

Questions? Visit the Student Support Science Prerequisites page

Instructor and Support Contact Information

Check 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 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.


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 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 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 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..


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
  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
  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.