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Homework Assignments
Exam and Grading
Getting Help


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.

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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.

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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.

Final Exam and Grading

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.

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Getting Help

The BYU Mathematics Department can answer questions about course policies, grades, and other concerns. Additionally, each semester there is a graduate student teaching assistant (TA) in the Mathematics Department assigned to help you and answer your questions. Send your e-mails to

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 To contact the BYU Math Lab, send an e-mail to

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!

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Course Policies

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


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


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.

Copyright © 2016 Brigham Young University. All rights reserved.

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Department of Independent Study
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Brigham Young University
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Provo, Utah 84602-1514

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Copyright notice for specific, individual copies
All copies are intended for non-commercial, educational purposes in connection with this registered course and only for students enrolled in this course. Any copying or further dissemination of these materials may be subject to applicable U.S. Copyright Laws.