Syllabus
UNE Summer Session
MATH 1021: Calculus II – Summer Session 2 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
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 II.
- Review of integration: Area approximation, substitution methods, The Fundamental Theorem of Calculus, exponential, logarithmic, and inverse trigonometric functions.
- Advanced integration techniques: Integration by parts, trigonometric integrals, integration using trigonometric substitution, integration using partial fractions, numerical integration, improper integrals.
- Differential equations: Direction/slope fields, numerical solutions, separable differential equations, first-order linear equations.
- Sequences and series: Introduction to sequences and series, infinite series, tests for convergent series.
- Taylor and Maclaurin series: Definition of Taylor and Maclaurin series, power series.
- Polar coordinates: Explanation of the polar coordinate system, integration using polar equations, conic sections in polar coordinates.
- Parametric equations: Introduction to parametric equations, calculus using parametric curves
- Vectors: Introduction to vectors, dot product, cross product, equations of lines and planes in space.
- Utilize numerical, graphical, analytical and approximation models in pure and applied settings.
- Develop visual literacy of Calculus II concepts through graphical analysis.
- 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.
- 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
| Assignment Category | Grade Percentage |
|---|---|
| Applied Problems | 15% |
| Midterm Assessment | 20% |
| Final Assessment | 20% |
| Homework Problem Sets | 30% |
| Discussion Boards | 15% |
| 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 1: short week – Jul 3 – Jul 7
Week 2: Jul 8 – Jul 14
Week 3: Jul 15 – Jul 21
Week 4: Jul 22 – Jul 28
Week 5: Jul 29 – Aug 4
Week 6: short week – Aug 5 – Aug 9
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 |
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
Summer Session 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? Email: summersessiononline@une.edu.
Instructor and Support Contact Information
Check Brightspace for specific instructor and support specialist contact information.
UNE Libraries
- Library Access for all students: Your library login ID and password are the same as the ones you use to log into Brightspace.
- Library Questions: Ask a librarian or phone library staff at (207) 602-2361 or (207) 221-4330.
Further Assistance
Your student support specialist 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.
To request an accommodation a student needs to go through the process with our UNE office. If the student has a current/already established accommodation in place with UNE it is the responsibility of the student to notify the program at summersessiononline@une.edu to ensure it is applied properly.
If you need to inquire about a possible accommodation, please reach out to the Student Access Center by calling 207-221-4418 or send an email to pcstudentaccess@une.edu.
Policies
Summer Session & Academic Engagement Policy
Online students are required to submit a graded assignment/discussion prior to Sunday evening at 11:59 pm EDT of the first week of the term. If a student does not submit a posting to the graded assignment/discussion by 11:59 pm EDT on Sunday of the first week, the student will be automatically dropped from the course for non-participation. Review the Student Summer Session Manual for full details.
Proctored Examinations
Your course may have proctored exams. Please see the course for the exact exam requirements, test-taker guidance, proctoring format, and allowances (such as calculators or whiteboards, as indicated in the course).
Information about exam attempts can be found in your course.
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.
Courses in the program are equivalent to one-semester courses designed to be completed in 6 or 12 weeks.
- Enrollment in the course begins the day your section opens which is listed in the Academic Calendar.
- Course due dates, start and end dates are in respect to Eastern Time.
Withdrawal and Refund Policies
Please review the policies in your confirmation email. Contact summersessiononline@une.edu with any questions.
Grade Policy
Students are expected to attempt and complete all graded assignments and proctored exams by the end date of the course.
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 College. 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.