## UoPeople Online Syllabus Repository (OSR)

### General Studies

#### MATH 1211 Calculus

**MATH 1211: Calculus **

Syllabus

Prerequisites: MATH 1201: College Algebra with Trigonometry

Course Description: This 3-credit course provides an interdisciplinary introduction to the core concepts of differential calculus, covering a wide range of topics. Content includes both applications and theory of differential calculus leading to an introduction of The Fundamental Theorem of Calculus. Learners will continue to refine independent study skills, problem-solving, logically correct and mathematically precise writing and thinking, and their ability to use geometric, symbolic and analytic formats in presenting solutions to both abstract and real-world applications. Class activities will include lecture/discussion as well as tests and quizzes. Students will communicate their results in written form.

Required Textbook and Materials: UoPeople courses use open educational resources (OER) and other materials specifically donated to the University with free permissions for educational use. Therefore, students are not required to purchase any textbooks or sign up for any websites that have a cost associated with them. The main required textbooks for this course are listed below and can be readily accessed using the provided links. There may be additional required/recommended readings, supplemental materials, or other resources and websites necessary for lessons; these will be provided for you in the course's General Information and Forums area, and throughout the term via the weekly course Unit areas and the Learning Guides.

- Strang, G. (1991).
*Calculus*. Wellesley, MA: Wellesley-Cambridge Press. Available online at http://ocw.mit.edu/resources/res-18-001-calculus-online-textbook-spring-2005/textbook/ or for download here. - Students should also have access to a calculator or calculation software available online.

Software Requirements/Installation: No special requirements.

Learning Objectives and Outcomes:

By the end of this course students will be able to:

- Learn actively by:

- Integrating technology into problem-solving.
- Taking responsibility for accessing and using a variety of sources for assistance in learning about calculus, including its history.

- Think critically and creatively by:

- Using deductive and inductive reasoning in applying calculus to real-life situations.
- Analyzing, contrasting and critiquing various procedures – the “rules” of calculus.
- Following, evaluating, and writing solutions to mathematical problems, arguments, and proofs.

- Communicate clearly and originally by:
- Explaining how answers were created -- stating assumptions made and conclusions supported by the analysis.
- Formulating and criticizing mathematical conjectures and conclusions.
- Reading and writing mathematical presentations that use mathematical vocabulary, notation, and graphical interpretations.

- Interact in the diverse and complex environment by:
- Recognizing the biases and limitations of mathematical models.
- Respecting individual ways of arriving at answers, expressing results, and processing information.

Course Schedule and Topics: This course will cover the following topics in eight learning sessions, with one Unit per week. The Final Exam will take place during Week/Unit 9 (UoPeople time).

Week 1: Unit 1 - Calculus Introduction: Velocity, Circular Motion, Trigonometric Functions

Week 2: Unit 2 - Limits and Derivatives: Rates of Change and Limits and the Derivative of a Function

Week 3: Unit 3 - Derivative Rules, Derivatives of Trigonometric Functions, and Limits and Continuity

Week 4: Unit 4 - Applications of Derivatives, Extreme Values of Functions, and the Mean Value Theorem

Week 5: Unit 5 - The Chain Rule and Implicit Differentiation

Week 6: Unit 6 -Exponential and Logarithmic Functions

Week 7: Unit 7 -Newton’s Method and the Integral and Antiderivative

Week 8: Unit 8 -More on the Integral, Definite Integrals, and Fundamental Theorem of Calculus

Week 9: Unit 9 -Course Review and Final Exam

Learning Guide: The following is an outline of how this course will be conducted, with suggested best practices for students**.**

Unit 1: Calculus Introduction: Velocity, Circular Motion, Trigonometric Functions

- Read the Learning Guide and Reading Assignments
- Memorize the graphs of all basic functions (first degree polynomial, second degree polynomial, exponential and logarithmic functions, and all six basic trigonometric functions)
- Participate in the Discussion Assignment (post, comment, and rate in the Discussion Forum)
- Complete and submit the Written Assignment
- Make entries to the Learning Journal
- Take the Self-Quiz

Unit 2: Limits and Derivatives: Rates of Change and Limits and the Derivative of a Function

- Peer assess Unit 1 Written Assignment
- Read the Learning Guide and Reading Assignments
- Participate in the Discussion Assignment (post, comment, and rate in the Discussion Forum)
- Complete and submit the Written Assignment
- Make entries to the Learning Journal
- Take the Self-Quiz

Unit 3: Derivative Rules, Derivatives of Trigonometric Functions, and Limits and Continuity

- Peer assess Unit 2 Written Assignment
- Read the Learning Guide and Reading Assignments
- Memorize the derivatives of basic functions (polynomials and the basic trigonometric functions)
- Complete and submit the Written Assignment
- Make entries to the Learning Journal
- Take the Self-Quiz
- Take the Graded Quiz

Unit 4: Applications of Derivatives, Extreme Values of Functions, and the Mean Value Theorem

- Peer assess Unit 3 Written Assignment
- Read the Learning Guide and Reading Assignments
- Participate in the Discussion Assignment (post, comment, and rate in the Discussion Forum)
- Complete and submit the Written Assignment
- Make entries to the Learning Journal
- Take the Self-Quiz

Unit 5: The Chain Rule and Implicit Differentiation

- Peer assess Unit 4 Written Assignment
- Read the Learning Guide and Reading Assignments
- Memorize the derivatives of inverse trigonometric functions, and the derivatives of the natural exponential and logarithmic functions
- Participate in the Discussion Assignment (post, comment, and rate in the Discussion Forum)
- Complete and submit the Written Assignment
- Make entries to the Learning Journal
- Take the Self-Quiz

Unit 6: Exponential and Logarithmic Functions

- Peer assess Unit 5 Written Assignment
- Read the Learning Guide and Reading Assignments
- Participate in the Discussion Assignment (post, comment, and rate in the Discussion Forum)
- Complete and submit the Written Assignment
- Make entries to the Learning Journal
- Take the Self-Quiz
- Take the Graded Quiz

Unit 7: Newton’s Method and the Integral and Antiderivative

- Peer assess Unit 6 Written Assignment
- Read the Learning Guide and Reading Assignments
- Participate in the Discussion Assignment (post, comment, and rate in the Discussion Forum)
- Complete and submit the Written Assignment
- Make entries to the Learning Journal
- Take the Self-Quiz

Unit 8: More on the Integral, Definite Integrals, and Fundamental Theorem of Calculus

- Peer assess Unit 7 Written Assignment
- Read the Learning Guide and Reading Assignments
- Participate in the Discussion Assignment (post, comment, and rate in the Discussion Forum)
- Complete the Learning Journal
- Take the Self-Quiz
- Read the Unit 9 Learning Guide carefully for instructions on the Final Exam
- Take the Review Quiz
- Complete and submit the anonymous Course Evaluation

Unit 9: Course Review and Final Exam

- Read the Learning Guide and take the Review Quiz, if you haven't already done so
- Prepare for, take, and submit the Final Exam
- The Final Exam will take place during the Thursday and Sunday of Week/Unit 9 (UoPeople time); exact dates, times, and other details will be provided accordingly by your instructor

Course Requirements:

Written Assignments & Assessment Forms

Some units in this course require that you complete a Written Assignment. You are required to submit your assignments by the indicated deadlines and, in addition, to peer assess three (3) of your classmates’ assignments according to the instructions found in the Assessment Form, which is provided to you during the following week. During this peer assessment period, you are expected to provide details in the feedback section of the Assessment Form, indicating why you awarded the grade that you did to your peer. Failure to submit Written Assignments and/or Assessment Forms may result in failure of the course.

Discussion Assignments & Response Posts/Ratings

Some units in this course require that you complete a Discussion Assignment. You are required to develop and post a substantive response to the Discussion Assignment in the Discussion Forum. A substantive response is one that fully answers the question that has been posed by the instructor. In addition, you must extend the discussion by responding to at least three (3) of your peers’ postings in the Discussion Forum and by rating their posts. Instructions for proper posting and rating are provided inside the Discussion Forum for each week. Discussion Forums are only active for each current and relevant learning week, so it is not possible to contribute to the forum once the learning week has come to an end. Failure to participate in the Discussion Assignment by posting in the Discussion Forum and responding to peers as required may result in failure of the course.

Learning Journals

Your instructor may choose to assign specific topics and/or relevant questions as a weekly Learning Journal entry for you to complete, but you are still encouraged to also use it to document your activities, record questions/problems you may have encountered, reflect on the learning process, and draft answers for other course assignments. The Learning Journal must be updated on a weekly basis because its entries will be assessed by your instructor directly as a part of your final grade. The Learning Journal will only be seen by your instructor.

Quizzes

This course will contain three types of quizzes – the Self-Quiz, the Graded Quiz, and the Review Quiz. These quizzes may contain multiple choice, true/false, or short answer questions. The results of the Self-Quiz will not count towards your final grade. However, it is highly recommended that you complete the Self-Quiz to ensure that you have adequately understood the course materials. Along with the Reading Assignments, the results of the Self-Quiz should be used as part of an iterative learning process, to thoroughly cover and test your understanding of course material. You should use the results of your Self-Quiz as a guide to go back and review relevant sections of the Reading Assignments. Likewise, the Review Quiz will not count towards your final grade, but should also be used to assist you in a comprehensive review and full understanding of all course material, in preparation for your Final Exam. Lastly, the results of the Graded Quiz will count towards your final grade. Specific instructions on the format and content of the Graded Quiz will be provided by your instructor.

Final Exam

The Final Exam will take place during the Thursday and Sunday of Week/Unit 9, following the completion of eight units of work. The format of the Final Exam is similar to that of the quizzes and may contain a combination of different question types. You will have one attempt to take the exam, and it will be graded electronically. Specific instructions on how to prepare for and take the Final Exam will be provided during Week 8 (located inside the Unit 9 Learning Guide). Final Exams must be taken without the use of course learning materials (both those inside and outside the course). If particular materials are allowed for use during the exam, these will be noted in the exam’s instructions.

Course Forum

The Course Forum is the place to raise issues and questions relating to the course. It is regularly monitored by the instructors and is a good place to meet fellow students taking the same course. While it is not required to participate in the Course Forum, it is highly recommended.

**Course **Policies:

Grading Components and Weights

Each graded component of the course will contribute some percentage to the final grading scale, as indicated here:

Discussion Assignments | 20% |

Written Assignments | 25% |

Learning Journals | 10% |

Two Graded Quizzes | 20% (2@10% each) |

Final Exam | 25% |

TOTAL |
100% |

Grading Scale

This course will follow the standard 100-point grading scale defined by the University of the People, as indicated here:

Letter Grade |
Grade Scale | Grade Points |

A+ | 98-100 | 4.00 |

A | 93-97 | 4.00 |

A- | 90-92 | 3.67 |

B+ | 88-89 | 3.33 |

B | 83-87 | 3.00 |

B- | 80-82 | 2.67 |

C+ | 78-79 | 2.33 |

C | 73-77 | 2.00 |

C- | 70-72 | 1.67 |

D+ | 68-69 | 1.33 |

D | 63-67 | 1.00 |

D- | 60-62 | 0.67 |

F | Under 60 | 0.00 |

Grade Appeal

If you believe that the final grade you received for a course is erroneous, unjust, or unfair, please contact your course instructor. This must be done within seven days of the posted final grade. For more information on this topic, please review the Grade Appeal Procedure in the University Catalog.

Participation

Non-participation is characterized by lack of any assignment submissions, inadequate contributions to the Discussion Forums, and/or lack of peer feedback to Discussion/Written Assignments. Also, please note the following important points about course participation:

- Assignments must be submitted on or before the specified deadline. A course timeline is provided in the course schedule, and the instructor will specify deadlines for each assignment.
- Any student showing non-participation for two weeks (consecutive or non-consecutive) is likely to automatically fail the course.
- Occasionally there may be a legitimate reason for submitting an assignment late. Most of the time, late assignments will not be accepted and there will be no make-up assignments.
- All students are obligated to inform their instructor in advance of any known absences which may result in their non-participation.

Academic Honesty and Integrity

When you submit any work that requires research and writing, it is essential to cite and reference all source material. Failure to properly acknowledge your sources is known as “plagiarism” – which is effectively passing off an individual’s words or ideas as your own. University of the People adheres to a strict policy of academic honesty and integrity. Failure to comply with these guidelines may result in sanctions by the University, including dismissal from the University or course failure. For more information on this topic, please review the Academic Integrity Policy in the University Catalog.

Unless otherwise stated, any materials cited in this course should be referenced using the style guidelines established by the American Psychological Association (APA). The APA format is widely used in colleges and universities across the world and is one of several style and citation formats required for publication in professional and academic journals. Purdue University’s Online Writing Lab (OWL) is a free website that provides excellent information and resources for understanding and using the APA format and style. The OWL website can be accessed here: https://owl.purdue.edu/owl/purdue_owl.html

Code of Conduct

University of the People expects that students conduct themselves in a respectful, collaborative, and honest manner at all times. Harassment, threatening behavior, or deliberate embarrassment of others will not be permitted. Any conduct that interferes with the quality of the educational experience is not allowed and may result in disciplinary action, such as course failure, probation, suspension, or dismissal. For more information on this topic, please review the Code of Conduct Policy in the University Catalog.