# Syllabus

Course Materials
Assignments
Exams

## Course Description

Calculus AB is a culminating event for many students in high school mathematics. Everything that students have learned about algebra and geometry that didn’t seem to have a purpose comes together as students take this class. In addition to providing students with a head start in college mathematics, calculus AB also opens doors of opportunity in engineering, physics, astronomy, economics, cryptography, and many other careers.

## Learning Outcomes

The following learning outcomes come from the College Board’s calculus course description and represent well the learning outcomes of this course:

1. Students should be able to work with functions represented in a variety of ways: graphical, numerical, analytical, or verbal. They should understand the connections among these representations.
2. Students should understand the meaning of the derivative in terms of a rate of change and local linear approximation, and should be able to use derivatives to solve a variety of problems.
3. Students should understand the meaning of the definite integral both as a limit of Riemann sums and as the net accumulation of change, and should be able to use integrals to solve a variety of problems.
4. Students should understand the relationship between the derivative and the definite integral as expressed in both parts of the fundamental theorem of calculus.
5. Students should be able to communicate mathematics and explain solutions to problems both verbally and in written sentences.
6. Students should be able to model a written description of a physical situation with a function.
7. Students should be able to use technology to help solve problems, experiment, interpret results, and support conclusions.
8. Students should be able to determine the reasonableness of solutions, including sign, size, relative accuracy, and units of measurement.
9. Students should develop an appreciation of calculus as a coherent body of knowledge and as a human accomplishment.1

## Course Materials

You will need a graphing calculator for this course. If you are looking to purchase a new calculator and if you want lots of support in how to use the calculator, then we recommend the TI-84 Plus. The TI-83 Plus would also work great, but it lacks some of the features that the TI-84 Plus has. Both of these calculators have lots of tutorials on YouTube, and they are so similar that tutorials using one will probably also work for the other. There are several other options that are cheaper if you are willing to take the time to figure things out on your own. [ LINK REMOVED ] Here is a list of all the calculators that you can use on the AP test.

This course will use animated video lessons from StudyForge. These materials present the content in a dynamic and engaging way, thus helping the student to learn the concepts better. The cost for access to this resource is assumed in the registration fee. Thus, there are no additional expenses for the student.

As a supplement to student learning, we will also use CK-12’s calculus book and Khan Academy’s online calculus lessons. These resources are complete with detailed explanations and practice problems. Both of these resources are free for the students to access and use. StudyForge, CK-12, and Khan Academy are all very generous to offer their resources for little or no cost to you as a student.

A headset/speakers and microphone are necessary to conduct required free-response prep sessions; a webcam is preferred but not required. For optimal connection speeds during free-response prep sessions, it is recommended that you use a hard-wired, high-speed internet connection.

## Assignments

### Lesson Quizzes

There will be a lesson quiz as part of each lesson. Students can retake the lesson quiz as many times as they want, and the highest score will be recorded to the gradebook. The purpose of the lesson quizzes is to help the students gauge to what degree they have mastered a given learning objective. The lesson quizzes will have between 5 and 15 questions.

### Unit Quizzes

There are a total of 5 unit quizzes in the course. Students may retake the unit quiz once. The number of questions on each quiz will range from 20 to 30, depending on the content and number of objectives for the lessons they cover. Unit quiz questions will be similar to mastery quizzes, so it is wise to study the mastery quizzes carefully.

Unit quizzes are meant to prepare students for the final exam and AP test. Since the final exam and AP test are cumulative—meaning they cover all the objectives in the course—the unit quizzes will also have questions from the previous units on them. The proportion of questions from previous units will be significantly smaller than the proportion of questions from the current unit. Each unit will provide a focused review of the previous units so that the student can prepare effectively for each unit quiz.

### Explorations

Student exploration is a necessary component to AP calculus because it fosters understanding of concepts at a deeper level. There are four explorations in the course, and they contain the following components:

1. Task: Students work through some problems and submit their solutions to the teacher.
2. Discussion Board: Students participate in a discussion board with their peers about the problems they worked through alone.
3. “Big Ideas” Page: Students review the big ideas that they were supposed to get out of this experience.

Students are graded according to the logic of their responses and participation. What is expected of the students in each of these components is explained in greater detail when they come to this assignment.

There will be lesson quiz and unit quiz questions associated with each exploration.

### Free-Response Preparation Session

Students are required to attend at least one free-response preparation session before they can take the final. Sessions will be offered between 4 and 8 times a month. Students may attend these anytime while they are in the course, but it is recommended that they wait until they have completed unit 2. Students may attend more than one session.

### Practice Test Assignments

Students will complete two full-length practice AP calculus tests in preparation for the final and AP exams. Students will identify the concepts that they are weakest on and work to improve their understanding of them. They will then report to the teacher on this activity and will receive a grade. More information is provided in the actual assignment (see unit 6).

## Exams

There will be one final exam. The final exam is half multiple choice and half free response, mirroring the structure of the AP test. A scoring rubric will be developed for the free-response questions similar to that used in the AP tests. Exam questions will be similar to lesson assignments, mastery quizzes, and unit quizzes. Due to the nature of this course’s learning outcomes, the exams are only available in a paper format. Please plan for shipping time.

Assessment Quantity Total Percentage of Grade
Lesson Quizzes 21 30%
Unit Quizzes 5 20%
Explorations 4 6%
Free-Response Prep Session 1 4%
Practice Test Assignments 2 10%
Final Exam 1 30%
A 93–100%
A− 90–92%
B+ 87–89%
B 83–86%
B− 80–82%
C+ 77–79%
C 73–76%
C− 70–72%
D+ 67–69%
D 63–66%
D− 60–62%
E (fail) 0–59%

The materials used in connection with this online course are only for the use of students enrolled in this course for purposes associated with this course and may not be retained or further disseminated. Any copying or further dissemination of these materials may be subject to applicable U.S. Copyright Laws. For questions or more information, please visit the BYU Copyright Licensing Office website.

“Members of the BYU community who willfully disregard this Copyright Policy or the BYU Copyright Guidelines place themselves individually at risk of legal action and may incur personal liability for their conduct. The unauthorized use or distribution of copyrighted material, including unauthorized peer-to-peer file sharing, may subject individuals to civil and criminal liabilities, including actual and statutory damages, costs and fees of litigation, fines, and imprisonment

Violations of the Copyright Policy may result in university disciplinary action including termination of university enrollment or employment.” (Emphasis added. Excerpt taken from the BYU Copyright Policy)

## Preventing & Responding to Sexual Misconduct

In accordance with Title IX of the Education Amendments of 1972, Brigham Young University prohibits unlawful sex discrimination against any participant in its education programs or activities. The university also prohibits sexual harassment—including sexual violence—committed by or against students, university employees, and visitors to campus. As outlined in university policy, sexual harassment, dating violence, domestic violence, sexual assault, and stalking are considered forms of "Sexual Misconduct" prohibited by the university.

University policy requires all university employees in a teaching, managerial, or supervisory role to report all incidents of Sexual Misconduct that come to their attention in any way, including but not limited to face-to-face conversations, a written class assignment or paper, class discussion, email, text, or social media post. Incidents of Sexual Misconduct should be reported to the Title IX Coordinator at t9coordinator@byu.edu or (801) 422-8692. Reports may also be submitted through EthicsPoint at https://titleix.byu.edu/report or 1-888-238-1062 (24-hours a day).

BYU offers confidential resources for those affected by Sexual Misconduct, including the university’s Victim Advocate, as well as a number of non-confidential resources and services that may be helpful. Additional information about Title IX, the university’s Sexual Misconduct Policy, reporting requirements, and resources can be found at http://titleix.byu.edu or by contacting the university’s Title IX Coordinator.

## Accessibility Notice

BYU is committed to providing a working and learning atmosphere which reasonably accommodates persons with disabilities who are otherwise qualified to participate in BYU's programs and activities. In this spirit, BYU Independent Study aspires to improve web accessibility for users. While not required by law, the Web Content Accessibility Guidelines (WCAG) 2.0 Levels A and AA provide a wide range of helpful recommendations to make Web content more accessible. BYU Independent Study strives to apply WCAG 2.0 recommendations where feasible, but may deviate from any recommendations that would result in an undue hardship to BYU Independent Study or alterations to program and course content and objectives. If you have questions about accessibility, or if you need to report problems with any accessibility features please see our Accessibilities and Accommodations Web Page.

1. The College Board, AP Calculus AB Course Description (n.p.: The College Board, 2012), 6, http://media.collegeboard.com/digitalServices/pdf/ap/ap-calculus-course-description.pdf.

# Course Policies

These policies are specific to this course. For additional information about general policies, please refer to Independent Study Course Policies page.

### Assignments

Summary: 26 computer-graded quizzes (may be resubmitted); 11 instructor-graded assignments (no resubmissions allowed)

### Final Exam

Summary: one proctored, multiple-choice and free-response, instructor-graded exam (one retake allowed), must pass with 60% or better to earn credit for the course

## Course Duration

You have 1 year to complete this course. You may purchase one 3-month extension if you need more than a year to complete this course. Because of the nature of some assignments, you will not be able to complete this course in less than 2 months.

## Getting Help

See the “Contact Information” page if you need help.

## Discussion Board Policies

This course contains several discussion boards which allow you to interact with your peers and teacher. As you use this discussion board, be aware that the following things are prohibited:

• use of offensive or derogatory language
• bullying behavior
• discussion of topics unrelated to the course