# Syllabus

Course Materials
Homework Assignments
Getting Help

## Prerequisites

You will need basic skills from a college-level algebra course, such as MATH 110 (College Algebra).

## Course Learning Outcomes

1. Review of algebra
• Determine the graph of a line given two points, a point and a slope, the general form of a line, the slope-intercept form of a line.
• Determine the slope of a line given two coordinate points, the equation of a line given the slope and a point, equation of a line given two points, and the x- and y-intercept of a line.
• Find the secant line of a function on an interval, and use that to understand the average rate of change of a function.
• Approximate the tangent line at a point, and use that to understand the instantaneous rate of change of a function.
2. Limits and Derivatives
• Determine the limit of standard functions, e.g., polynomials, rational functions, exponentials, logarithms.
• Determine the limits of more complicated functions composed of simpler functions.
• Define the derivative, take derivatives of polynomials using definition.
• Derive the differentiation rules for polynomials, exponentials, logarithms.
3. Product, Quotient, and Chain Rules
• Derive the product, quotient, and chain rules.
• Use the product, quotient, and chain rules to compute complicated derivatives composed of simpler functions.
4. Optimization and Applications
• State the derivative rules for local extreme.
• Use the derivative rules to find the local extrema of a function on an interval. Then find the global maximum (or minimum) of a function on an interval.
• Use the derivative to solve problems in business, e.g., maximize profits, minimize costs, etc.
• Use Newton's method for root finding to locate local extrema.

## Course Materials

There is no textbook required; this course is self-contained. If you feel you need more information than what is provided in the course, there are many textbooks and online resources available.

## Course Organization

This course is Pass/Fail. It has ten lessons and no submitted homework assignments. There is one proctored final exam that determines the grade. Students have a total of 8 attempts to pass it.

### Homework Assignments

There is a syllabus quiz that you must pass with 100% before you can continue on in the course. It is based on the information in the syllabus and is very straightforward. If you read the syllabus carefully, it will be easy. The syllabus quiz does not count as part of your grade, and you may take it as many times as you need to in order to pass it.

Homework assignments are provided for you to practice working problems. The answers are at the end of the homework. Solutions to the homework are on a separate page and show you how to work the problems. You do not turn in the homework, and the homework is not part of the final grade.

The final grade consists of one final exam that must be passed with 80% or better. You will have 8 attempts to pass the final exam. Each attempt must be proctored.

When you request the final, it is printed out and sent to the proctor of your choice. The exams are not taken on computer. While there is no retake fee, any proctoring fees associated with taking an exam will apply, so it is worth your while to prepare well the first time you take the final exam.

Practice exams and solutions are provided for you to practice solving problems that are similar to what you will see on the final exam. Like the homework assignments, practice exams are not submitted and do not count as part of your grade.

Once you are satisfied with your grade, you must complete the "Post My Grade Assignment" located in the 'Course Completion' section at the end of the course.

## Getting Help

For those students who live near BYU, the BYU Math Lab is a great resource for getting free one-on-one help. You can find information about the location and hours at http://math.byu.edu/home/mathlab. To contact the BYU Math Lab, send an e-mail to labhelp@byu.edu.

If you want even more practice with solving problems, but are concerned that you won't have the answer to check your work against, there are several websites that will solve equations for you. (Three are listed below, but you can find many more by doing an Internet search.) By creating equations similar to what you want to review and typing them into the website, you will get the answer to your equation. It's always nice to know when you've solved a problem correctly!

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.

# Course Policies

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

## Assignments

Homework assignments are provided, but they do not count towards the final grade and are not submitted.

## Exams

1 proctored (printed), computer-graded final exam. 7 attempts are allowed (i.e. 6 retakes for no fee are allowed.) You must pass the final exam to pass the course. (The exam is printed, not taken on computer.)

## Getting Help

The BYU Mathematics Department can answer questions about course policies, grades, and other concerns. You can also contact the Independent Study office at 1-800-914-8931.

## Inappropriate Use of Course Content

All course materials (e.g., outlines, handouts, syllabi, exams, quizzes, media, lecture content, audio and video recordings, etc.) are proprietary. Students are prohibited from posting or selling any such course materials without the express written permission of BYU Independent Study. To do so is a violation of the Brigham Young University Honor Code.

Department of Independent Study
Division of Continuing Education
Brigham Young University
120 MORC
Provo, Utah 84602-1514
USA