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.
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.
By the end of this course, you will be able to:
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.
In Project 1, you will apply your knowledge of limits and iterative processes.
In Project 2, you will apply your knowledge of integration.
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.
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.
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).
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).
Your grade in this course will be determined by the following criteria:
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 | 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 |
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 |
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
Check Brightspace for specific instructor and support specialist contact information.
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.
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 use ProctorU and must follow all proctoring requirements for their exams to be credited. Please contact your instructor for specific feedback.
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.
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.
Please review the technical requirements for UNE Online Programs: Technical Requirements
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.
Please visit the enrollment page to review the withdrawal and refund policies.
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:
To request your official UNE student transcript:
Please review your Unofficial Transcript prior to requesting an Official Transcript.
After you click Submit Request, your official transcript will be put into the queue to be printed in the Registrar's Office.
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:
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.