Syllabus

Science Prerequisites for Health Professionals

MATH 1011: Precalculus

Credits - 3

Description

Precalculus was intentionally designed to prepare students for subsequent college level Calculus courses. This course will review a variety of the prerequisite mathematical concepts necessary for Calculus. Topics include rational functions, trigonometric functions, polar coordinates, sequences and series, probability, and a brief introduction to continuity. Each of these topics will be applied to real-world situations that can be modeled mathematically. In this course, students will practice communicating the realistic applications of each of these topics. 

It is recommended that students have completed College Algebra, Algebra 2, or Intermediate Algebra within the last five years before enrolling in this course.

Materials

Textbooks

Resources

Hardware

Mandatory UNE-approved webcam and whiteboard – To be used during proctored exams

Learning Objectives and Outcomes

Course Objectives

  • Interpret graphical information of rational and trigonometric functions. 
  • Construct graphs of rational and trigonometric functions. 
  • Solve trigonometric functions.
  • Determine angle measures and side lengths of triangles using trigonometric identities. 
  • Graph equations in polar coordinates.
  • Communicate algebraic facility of trigonometric functions with respect to real-world applications. 
  • Evaluate mathematical series. 
  • Solve counting problems using combinations and permutations. 
  • Compute probabilities of events using counting theory and probability models. 
  • Find the limits of a function. 
  • Identify the continuity of a function.

Assignments

Greetings Discussion Board

Before getting started with any material in the course, students will need to participate in the greetings discussion board. This is an opportunity for students to introduce themselves to their peers and instructor. Students are encouraged to read other students’ posts to get to know their classmates. Participation in this discussion board is worth 2% of the final grade. 

Desmos Interactive Activities (14)

Each week, excluding the midterm and final weeks, students will complete an interactive activity in the Desmos Classroom. These activities are designed to deepen students’ understanding of the concepts covered in the assigned readings and videos. Each activity consists of 10-20 questions. Grades for these activities are based on participation. Each activity is worth 10 points (1% of the final grade). Students must complete the entire activity to receive all 10 points. 

Homework Assignments (14)

Each week, excluding the midterm and final weeks, students will submit completed homework assignments. The problems in these activities will reference the material covered in the week of the submission deadline. The problems on these activities will focus on real-world applications of algebra, trigonometry, counting and introductory calculus concepts. Each activity is graded out of 20 points and partial credit is possible. Each activity is worth 2% of the final grade.

Reflective Discussion Boards (4)

In weeks 4, 8, 12, and 16, students will have the opportunity to showcase their knowledge of material they’ve learned up to that point as well as reflect on their understanding of the material. Two of the four reflective discussion boards will require students to write an explanation of how to complete a problem they initially found challenging (these are called Reflective Discussion Boards with a Written Teaching Component). The remaining two discussion board assignments will require students to create a short video in which they will teach an important problem covered in the course (these are called Reflective Discussion Boards with a Video Teaching Component). Each discussion board is worth 2.5% of the final grade.

Projects (2)

There will be two small projects in the course. The projects will give students the opportunity to showcase their understanding of the material covered in this course. The projects will wrap up the midterm and final weeks of the course. The midterm project is worth 10% of the final grade and the final project is worth 13% of the final grade. 

Midterm Assessment

In week 8, students will complete a cumulative assessment in Blackboard. This assessment will be made up of 20 multiple choice, true or false, and numerical answer questions. The assessment will be administered through ProctorU. Students should see UNE’s ProctorU page for information on proctoring logistics and scheduling. This assessment is worth 10% of the final grade. 

Final Assessment

The course will conclude with a cumulative assessment in week 16. Students will answer 26 multiple choice, true or false, and numerical answer questions in Blackboard. The assessment will be administered through ProctorU. Students should see UNE’s ProctorU page for information on proctoring logistics and scheduling. This assessment is worth 13% of the final grade. 

Review Guide Pages

At the end of each week, students will fill in the review guide page that corresponds to that week. This outline will help students reflect on and summarize the most important material covered throughout the week. Students are also encouraged to include examples of problems they find challenging. Students will need to submit their review guide pages to Blackboard; however, the content of the submissions will not be graded. The submission of each week’s review guide page is required to unlock the following week in Blackboard. Feedback on review guide page submissions will be provided by the instructor when appropriate. 

Grading Policy

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

Grade Breakdown

AssignmentTotal PointsPercent of Final Grade
Greetings Discussion Board202%
Interactive Desmos Activities (14 total) 140 (10 points each)14% (1% each)
Homework Assignments (14 total)280 (20 points each)28% (2% each)
Reflective Discussion Boards (4 total) Reflective Discussion Boards (4 total) 100 (25 points each) 10% (2.5% each)
Midterm Assessment10010%
Midterm Project10010%
Final Assessment13013%
Final Project13013%
Total1000100%

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

Assignments

1

Polynomials and Rational Expressions

Algebra and Trigonometry, Chapter 1: Prerequisites

1.4, 1.5, 1.6

  • Greetings Discussion Board
  • Desmos Interactive Activity 
  • Optional Practice
  • Assignment 1
  • Review Guide p. 1

2

Equations

Algebra and Trigonometry, Chapter 2: Equations and Inequalities

2.2, 2.2, 2.3, 2.4

  • Desmos Interactive Activity 
  • Optional Practice
  • Assignment 2
  • Review Guide p. 2

3

Overview of Functions

Algebra and Trigonometry, Chapter 3: Functions

3.1, 3.2, 3.3, 3.4

  • Desmos Interactive Activity 
  • Optional Practice
  • Assignment 3
  • Review Guide p. 3

4

Overview of Functions Continued

Algebra and Trigonometry, Chapter 3: Functions

3.5, 3.6, 3.7

  • Desmos Interactive Activity 
  • Optional Practice
  • Assignment 4
  • Reflective Discussion Board 1
  • Review Guide p. 4

5

Trigonometric Functions

Precalculus, Chapter 5: Trigonometric Functions

5.1, 5.2, 5.3, 5.4

Unit Circle Chart

  • Desmos Interactive Activity 
  • Optional Practice
  • Assignment 5
  • Review Guide p. 5 and 6

6

Periodic Functions

Precalculus, Chapter 6: Periodic Functions

6.1, 6.2, 6.3

  • Desmos Interactive Activity 
  • Optional Practice
  • Assignment 6
  • Review Guide p. 7 and 8

7

Trigonometric Identities and Equations

Precalculus, Chapter 7: Trigonometric Identities and Equations

7.1, 7.2, 7.3

  • Desmos Interactive Activity 
  • Optional Practice
  • Assignment 7
  • Review Guide p. 9
  • Midterm Mini-Project Preview

8

Midterm Review and Assessment

None

  • Midterm Mini-Project
  • Reflective Discussion Board 2
  • Midterm assessment

9

Solving Trigonometric Equations

Precalculus, Chapter 7: Trigonometric Identities and Equations

7.4, 7.5, 7.6

  • Desmos Interactive Activity 
  • Optional Practice
  • Assignment 8
  • Review Guide p. 10

10

Non-Right Triangles and Polar Coordinates

Precalculus, Chapter 8: Further Applications of Trigonometry

8.1, 8.2, 8.3, 8.4

  • Desmos Interactive Activity 
  • Optional Practice
  • Assignment 9
  • Review Guide p. 11

11

Parametric Equations and Vectors

Precalculus, Chapter 8: Further Applications of Trigonometry

8.6, 8.7, 8.8

  • Desmos Interactive Activity 
  • Optional Practice
  • Assignment 10
  • Review Guide p. 12

12

Sequences and Series

Precalculus, Chapter 11: Sequences, Probability, and Counting Theory

11.1, 11.2, 11.3, 11.4

  • Desmos Interactive Activity 
  • Optional Practice
  • Assignment 11
  • Reflective Discussion Board 3
  • Review Guide p. 13

13

Counting and Probability

Precalculus, Chapter 11: Sequences, Probability, and Counting Theory

11.5, 11.6. 11.7

  • Desmos Interactive Activity 
  • Optional Practice
  • Assignment 12
  • Review Guide p. 14

14

Limits

Precalculus, Chapter 12: Introduction to Calculus

12.1, 12.2

  • Desmos Interactive Activity 
  • Optional Practice
  • Assignment 13
  • Review Guide p. 15

15

Continuity and Derivatives

Precalculus, Chapter 12: Introduction to Calculus

12.3, 12.4

  • Desmos Interactive Activity 
  • Optional Practice
  • Assignment 14
  • Review Guide p. 16

16

Final Review and Assessment

None

  • Final Mini Project
  • Reflective Discussion Board 4
  • Final Assessment

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
  • 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 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, 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 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 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.