Course Syllabus


This course includes the study of limits, continuity, derivatives, integrals, and transcendental functions. Properties and applications of the above.

Credits: 4



Complete one of the following:

Take the following:

MATH 109 - Precalculus (5)

Take the following:

MATH 110X - College Algebra (3)

MATH 111 - Trigonometry (2)

ACT 27 or SAT 620 or 2016 SAT 640 or ALEKS 85

The first quiz you complete in this class with further help to determine whether you are ready for this course or need to take a different course. If you have any questions pertaining to your preparation for this course, please contact your instructor or your academic adviser right away.

Required Resources

This course uses a low-cost, auto-access homework and assessment provider called Knewton. Opting out of Knewton will make it impossible to complete homework assignments or assessments, so we recommend you do not opt out.

Resource Title/Description
(books, software, etc.)
Author/Provider Ed./Vol. 13-Digit ISBN (if applicable)

Knewton - homework and assessment provider

This comes with the course. You will be charged first day of class.


Calculus Volume 1

This textbook is included in your course. The entire textbook can be accessed for free at Calculus Volume 1.

by Gibert Strang and Edwin "Jed" Herman

Web Version Last Updated: Jan 16, 2020


Calculus Volume 2

Only part of this textbook is used for this course. This textbook is included in your course. The entire textbook can be accessed for free at Calculus Volume 2.

by Gibert Strang and Edwin "Jed" Herman Web Version Last Updated: Jan 16, 2020 978-1-947172-14-2

Webcam and Microphone

You will need these to meet in groups twice a week in Zoom.


Scientific Calculator

Graphing calculators are not allowed.


(Optional) Mathematica

Use Mathematica to check your homework problems. Free download.


Proctored Exams and Assessments

This course will use an online proctoring software called Proctorio. This makes it possible for students to take assessments and exams without a human proctor present. Proctored exams can be accessed like any other exam, once the software has been installed. Exams will be recorded by Proctorio and reviewed by the BYUI Testing Center. Any questionable exams will be forwarded to the instructor for further review.

For step-by-step instruction on Proctorio installation, please refer to this help guide article.


Course Outcomes (CO)

  1. Understand the meaning of the limit of a function.
  2. Prove a function is continuous or discontinuous at a point.
  3. Find limits of various functions analytically.
  4. Use the definition to find the derivative of a function. Describe when a derivative exists.
  5. Apply basic differentiation rules to various functions.
  6. Understand and use the Chain Rule to solve various problems including those involving implicit differentiation.
  7. Use the derivative to solve application problems including optimization and related rates.
  8. Find antiderivatives of various functions.
  9. Use the Fundamental Theorem of Calculus to evaluate definite integrals. Use different integration techniques including change of variables and integration by parts.
  10. Use integrals to solve various application problems including volumes, arc length, area of a surface revolution, and work.

Major Assignments

The table below is meant to help you see the relevance of each major assignment as it pertains to the course outcomes (CO).

Major Assignment Description CO#
Exam 1


  • Limit of a Function
  • Limit Laws
  • One-Sided Limits
  • Continuity
  • Infinite Limits
  • Derivative at a Point
  • Derivative as a Function
  • Differentiation Rules
Exam 2


  • Differentiation Rules
  • Derivatives of Trig Functions
  • Chain Rule
  • Implicit Differentiation
  • Derivatives of Exponential and Logarithmic Functions
  • Inverse Trig Functions
  • Derivative as a Rate of Change
  • Related Rates
  • Extreme Value 
  • Mean Value Theorem
  • First Derivative Test
#1, 5–7
Exam 3


  • Concavity and Sketching
  • Applied Optimization
  • L'Hopital's Rule
  • Antiderivatives
  • Area and Finite Sums
  • Definite Integrals
  • Fundamental Theorem of Calculus
#1, 5–10
Final Exam


  • U-Substitution
  • Area Between Curves
  • Volume-Cross Sections
  • Volume-Washers
  • Volume-Shells
  • Work
  • Integration by Parts
  • Improper Integrals
  • Material from the rest of the class

Weekly Patterns

The table below displays typical weekly activities, due dates, and activity descriptions.

Due Date* Learning Model Activity Title Description
Midweek Prepare Introduction Watch a video demonstrating the purpose of learning the material for the week.
Midweek Prepare Study Study the material for the week using the textbook, videos, and practice problems and solution videos.
Midweek Ponder and Prove Homework 1 Practice the material learned.
Midweek Ponder and Prove Homework 2 Practice the material learned.
Midweek Teach One Another Study Group Meet with your group to work on problems together.
Midweek Prepare Self Check (Optional) Practice for the weekly quiz.
End of Week Prepare Study Study the material for the week using the textbook, videos, and practice problems and solution videos.
End of Week Ponder and Prove Homework 1 Practice the material learned.
End of Week Ponder and Prove Homework 2 Practice the material learned.
End of Week Teach One Another Synchronous Recitation Meet with the instructor or TA to practice problems and ask questions.
End of Week Prepare Self Check (Optional) Practice for the weekly quiz.
End of Week Prove Weekly Quiz Show your understanding of that material learned this week.

*Set your time zone within user preferences so the dates and times for course activities will display correctly for your time zone.

Learning Model


You will prepare to complete your assignments using the Study pages each week. In the Study pages, you have access to the textbook, instructional videos, and practice problems and solution videos.

Teach One Another

You will love, serve, and teach one another by meeting with your group. By the beginning of Week 03, you will meet with your group once a week to complete exam type practice problems. These group meetings are an important part of the course and are mandatory. You will self select a group based on a day and time that works for you. Come prepared to each meeting to ask and answer questions. Your group should also function like a study group. Contact one another throughout the week as questions arise. 

Once a week you will also attend a synchronous recitation where you will meet for an hour with either the instructor or the class TA. During this time the instructor/TA will go over concepts that students are struggling with for the first 30 minutes. The last 30 minutes is time for you as the student to ask questions and get help with problems that you're stuck on.


It is through homework that you will ponder and master the concepts and techniques you learn.

The quizzes you take weekly will be based upon your homework problems. 

In addition to the homework and the homework quizzes, you will also take exams in this course. There are three exams and a final. Each exam is cumulative. Full details are provided in the course.



Online students are expected to spend 3–4 hours per week per credit hour. For a 4-credit class you should be spending 12–16 hours per week on the class.

Each week is divided into two due dates. During the first half of the week you will study two topics, do homework covering both topics, meet as a group, and complete an optional self check assignment. The second half of the week follows the same pattern. At the end of the week you will take a quiz over the material covered.

Group Work

First Weekly Group Meeting— Beginning in Week 03 you will meet with your group once a week and work on "exam like" problems.

Synchronous Recitation— Beginning in Week 02 you will meet with your instructor or the TA once a week. Attend one of the times that the instructor/TA is available to receive some instruction and ask questions or work on problems together.

Late Work

As a sign of professionalism and respect, you should complete your work on time. However, your instructor has the discretion to accept late work or extend due dates as appropriate. 

Grading Scale

Letter Grade Percent
A 100%–93%
A- 92%–90%
B+ 89%–87%
B 86%–83%
B- 82%–80%
C+ 79%–77%
C 76%–73%
C- 72%–70%
D+ 69%–67%
D 66%–63%
D- 62%–60%
F 59% and lower

University Policies

Students with Disabilities

Brigham Young University-Idaho is committed to providing a working and learning atmosphere that accommodates qualified persons with disabilities. If you have a disability and require accommodations, please contact the Disability Services Office at (208) 496-9210 or visit their website and follow the Steps for Receiving Accommodations. Reasonable academic accommodations are reviewed for all students who have qualified documented disabilities. Services are coordinated with students and instructors by the Disability Services Office.

This course includes required synchronous meetings. If you are currently registered with the Disability Services Office and need an interpreter or transcriber for these meetings, please contact the deaf and hard of hearing coordinator at (208) 496-9219.

Other University Policies

Student Honor and Other Policies

Please read through the document called University Policies. It gives important information about the following topics:

  • Student Honor
    • Academic Honesty
    • Student Conduct
      • Sexual Harassment
  • Student with Disabilities
  • Complaints and Grievances
  • Copyright Notice

Go to the Student Resources module to review further resources and information.

Course Summary:

Date Details Due