Syllabus

Post Baccalaureate in Pre-Health

MATH 1021: Calculus II – Accelerated – 8-week – Spring 1 2023

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 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.

Materials

Textbook

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

Digital Platform

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. A maximum of two attempts will be allowed for proctored exams

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. A maximum of two attempts will be allowed for proctored exams

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: Jan 18 – Jan 24
Week 2: Jan 25 – Jan 31
Week 3: Feb 1 – Feb 7
Week 4: Feb 8 – Feb 14
Week 5: Feb 15 – Feb 21
Week 6: Feb 22 – Feb 28
Week 7: Mar 1 – Mar 7
Week 8: Mar 8 – Mar 14

Week

Content Due Dates

1

Modules 1 & 2

Homework: Tuesday 11:59 PM

Introduction Discussion

2

Module 3

Homework: Tuesday, 11:59 PM

Applied Problem 1: Tuesday, 11:59 PM

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

3

Modules 4 & 5

Homework: Tuesday 11:59 PM

Applied Problem 2: Tuesday, 11:59 PM

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

4

Modules 6 & 7

Homework: Tuesday, 11:59 PM

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

Applied Problem 3: Tuesday, 11:59 PM

Exam: Tuesday, 11:59 PM

5

Modules 8 & 9

Homework: Tuesday 11:59 PM

6

Module 10

Homework: Tuesday, 11:59 PM

Applied Problem 4: Tuesday, 11:59 PM

7

Modules 11 & 12

Homework: Tuesday, 11:59 PM

8

n/a

Discussion: Initial Post: Thursday, 11:59 PM

Discussion: Responses: Saturday at 11:59 PM

Exam: Sunday at 11:59 PM

 

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? Email: prehealth@une.edu.

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.

UNE Libraries

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.

Policies

Attendance Policy

Online students are required to submit a graded assignment/discussion prior to Sunday evening at 11:59 pm ET of the first week of the term. If a student does not submit a posting to the graded assignment/discussion prior to Sunday evening at 11:59 pm ET, the student will be automatically dropped from the course for non-participation. Review the full attendance policy.

Assignments

Late assignments will be accepted up to 3 days late; however, there is a 10% grade reduction (from the total points) for the late submission. After three days the assignment will not be accepted. Discussion posts: If the initial post is submitted late, but still within the discussion board week, there will be a 10% grade reduction from the total discussion grade (e.g., a 3 point discussion will be reduced by 0.3 points). Any posts submitted after the end of the Discussion Board week will not be graded. Please make every effort ahead of time to contact your instructor if you are not able to meet an assignment deadline. Arrangements for extenuating circumstances may be considered by faculty.

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.

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 8 weeks.

  1. Enrollment in the course begins the day your section opens which is listed in the Academic Calendar found on the Student Success Portal.
  2. 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 PreHealth@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. Contact support with any questions.

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.