Course Syllabus
Welcome
We are pleased that you selected this course to fulfill your unique educational needs. You are now a member of the Mizzou Academy's global student body.
Course Overview
This is a 19 week online course composed of an orientation week and 18 weekly sessions. Expect to invest about 5 hours a week on course activities and assignments.
The purpose of the course is to give students a great calculus foundation. The course is designed to emphasize the relationships between the various forms of a function: graphs, equations, tables, and verbal expressions. Successful completion of a pre-calculus course is important for success in AP Calculus.
Calculus is the study of change. It is a place in mathematics where we begin examining the changing situations that surround us. Calculus has two main topics: rate of change and area under a curve. In this half unit we will concentrate on finding rates of change; in other words, differentiation. We will be reviewing familiar functions, exploring the concept of limits, and learning differentiation. Activities and assignments with released AP items are incorporated into each unit. AP Calculus is designed to have you look at functions algebraically, graphically, numerically, and verbally. The quizzes and exams will reflect this by allowing you to take parts with the use of a graphing calculator, and parts without. The difference between a calculus course and an AP Calculus course may seem subtle. After all, good calculus is good calculus. The AP requirements expect students to make connections between algebraic, graphic, and numerical pieces of information.
Prerequisites
None.
Course Description
This course provides students with a college-level foundation in calculus. Coursework emphasizes the relationship between the various forms of a function: graphs, equations, tables, and verbal expressions. Calculus has two main topics: rate of change and area under a curve. The fall semester focuses on finding rates of change, i.e. differentiation. Students will review familiar functions and explore the concept of limits and differentiation.
Most AP courses consist of 2 semesters and you should complete semester 1 before starting semester 2. AP exams are offered early in May.
NOTE: If you enroll after the start date in an AP course, it is important that you adjust the pacing chart accordingly so you can complete your course before the scheduled AP exam dates or use this link to find more information about Advanced Placement and to see the AP Exam Calendar.
COURSE OBJECTIVES
At the end of each of the lesson, students should be able to:
Lesson 1
- Sketch the graph of an equation using intercepts, slope, and symmetry.
- Find the points of intersection of two graphs.
- Graph and find formulas for piece-wise defined functions.
- Write the equations of lines including regression lines.
- Interpret slope as a ratio or rate.
- Use function notation to represent and evaluate a function.
- Find the domain, range, and graph of a function.
- Identify transformations of functions including exponential, logarithmic, and trigonometric functions.
- Classify functions and recognize combinations of functions.
Lesson 2
- Distinguish between average speed and instantaneous speed.
- Estimate a limit using a numerical or graphical approach.
- Determine if a limit exists and use the formal definition of a limit.
- Evaluate a limit using the properties of limits, and understand the use of the Sandwich Theorem, which is also known as the Squeeze Theorem.
- Determine infinite limits.
- Determine continuity at a point, on an open interval, and on a closed interval.
- Use properties of continuity.
- Use the Intermediate Value Theorem.
- Determine the slope of a curve at a given point, and write the equation for a tangent.
Lesson 3
- Use the limit definition to find the derivative of a function.
- Find the derivative at a point.
- Use the various notations for derivative.
- Understand the relationship between the graphs of a function and its derivative.
- Understand the situations in which a derivative does not exist, and summarize the relationship between differentiability and continuity.
- Understand the concept of local linearity.
- Evaluate derivatives using a graphing calculator.
Lesson 4
- Find the derivative of a function using the Constant Rule, the Power Rule, the Constant Multiple Rule, and Sum/Difference Rule.
- Find the derivative of a function using the Product and Quotient Rules.
- Find the higher-order derivative of a function.
- Find the connection between the derivative and velocity and acceleration.
- Find the derivative of a trigonometric function.
Lesson 5
- Find the derivative of a composite function.
- Use the "Outside-Inside" Rule to differentiate.
- Differentiate by repeated use of the Chain Rule.
- Use the Power Chain Rule.
Lesson 6
- Distinguish between functions written in implicit form and explicit form.
- Use implicit differentiation to find the derivative of a function.
- Find derivatives of a higher order using implicit differentiation.
- Find tangents and normal lines for implicit functions.
Lesson 7
- Differentiate inverse trigonometric functions.
- Differentiate exponential functions.
- Differentiate logarithmic functions.
Lesson 8
- Find extrema on a closed interval.
- Use the Extreme Value Theorem.
- Find the critical points of a graph of a function.
- Use the Mean Value Theorem.
- Find an antiderivative.
- Determine intervals on which a function is increasing or decreasing.
- Apply the first derivative test to find relative extrema of a function.
- Determine intervals on which a function is concave upward or concave downward.
- Find the points of inflection of the graph of a function.
- Apply the second derivative test to find relative extrema of a function.
- Analyze and sketch the graph of a function.
Required Materials
Textbook
Finney, Ross L., Demana, Franklin D., Waits, Bert K., and Kennedy, Daniel. Calculus: Graphical, Numerical, Algebraic, AP Edition. (Third Edition). Boston: Pearson Prentice Hall, 2007.
Additional Materials
You will need a graphing calculator that can find roots and intersections of functions, calculate derivatives and integrals. I would suggest either aTI-83 Plus or TI-84 Plusgraphing calculator (~$110).
These advanced calculators are useful or required for other high school and college courses. Some schools let students check these out. The Silver Edition's added memory is not needed for textbook exercises. The TI-85, 86, and 89 calculators can also be used for this course. However, their keypads operate very differently from the TI-83 Plus and TI-84 Plus calculators. Since the lesson notes and instructions are based on the 83 and 84 configuration, you will need to be proficient in the operation of your calculator if you use one of the other models.
Note: On portions of quizzes and exams, you will be instructed to not use your calculator. You are on your honor to follow these instructions, even when the assessment is not proctored and there are no penalties for using your calculator. You will be required to complete sections of the AP Calculus AB exam without your calculator, and it is to your advantage to get used to working without one now when instructed to do so.
Students will be required to upload documents in Word format (.doc, .docx,) or Rich Text (.rtf) format. These documents can be created in Microsoft Word or another office suite that saves in the .doc, .docx, or .rtf format
Technical Requirements
The most up-to-date requirements can be found here:
- Computer Requirements
- Browser Requirements
- Proctoring Requirements
- Microphone (external or internal)
- Webcam
Additional requirements for the course are below:
- audio and video recording capabilities (e.g. smartphone, camera).
- Scanner - some assignments may require you to scan
Recommended Web Browsers
- Windows: Chrome or Firefox
- Mac OS: Safari, Chrome, or Firefox
Quizzes & Assignments
You should submit all assigned work in sequence (Lesson 1, then Lesson 2, etc.) Assignments for the course are listed at the bottom of this syllabus.
Quizzes
All quizzes for Mizzou Academy / MU High School courses are taken online. After you submit them, you’ll quickly receive a report on how you did.
Assignments
Assignments may consist of written work (essays, compositions, etc.), collaborative wiki projects, journal entries, audio or video recordings, multimedia presentations, graphics, etc. Each assignment will list the instructions for completing that assignment. Assignments may require you to submit your completed work in the form of a file (such as a text document, image, audio or video recording, or multimedia presentation) or a hyperlink for grading. See your Helpful Resources section of your course for tutorials.
Work a Posted Problem
This is a specific problem that I set forth for you to solve. There are 3 opportunities available this semester.
Reading and Using Feedback
After your work has been graded, you will receive a report that provides individualized feedback and comments on your work. Look carefully at what you missed and read any corresponding feedback. Then study the lesson materials to make certain that you can accomplish the associated learning objectives.
Each lesson provides step-by-step instructions on how to submit your work. Be sure to check submitted work carefully for errors (e.g. spelling, grammar, and punctuation) as they may result in points being deducted.
Grades
Your final grade will be based on the number of points you earn on assignments and exams.
To pass the course, you must earn a minimum of 60 percent in the exams assignment group.
You will be able to see your exam percentage in the "Exams" column in your gradebook.
The following grading scale applies only to students who meet this standard:
Grade | Percentage |
---|---|
A | 90–100 |
B | 80–89 |
C | 70–79 |
D | 60–69 |
F | 0–59 |
After completing the course, unofficial transcripts will be available in the Tiger Portal. See this page for information on requesting official transcripts.
Exams
You are required to take two proctored exams for this course.
To pass the course, you must earn a minimum of 60 percent on your exams group (see grades section below for details.) See the "About Exams" in the policies section for additonal information on exams at Mizzou Academy.
AP Exam
When you register for the AP exam, please use the Mizzou Academy/University of MO High School provider code: 041. If you have any questions, please let your AP instructor or our AP Coordinator, Alicia Bixby know. Ms. Bixby’s email is bixbya@missouri.edu.
AP - Discussions and Chats
The chat room is intended to create a more interactive classroom atmosphere. These are usually student-driven. I will take questions over the lesson, examples, or suggested problems from the textbook. Together we will work through these questions and clarify lesson topics. To earn chat points, you must ask or answer at least 2 questions during the course of the chat. You should attend each chat as you would a regular classroom, having read the material and prepared to participate in a discussion of the ideas covered in the lesson.
There will also be an introductory chat offered during the first week of the course. Attendance does not count toward your required chat attendance. However, you are strongly encouraged to attend as this provides you with an opportunity to meet your instructor and classmates and to become familiar with the chat format.
In order to keep the chats manageable and effective for everyone, I ask that you sign up for the chat by the Friday before each chat. Space in the sessions is limited, so contact your instructor to sign up as soon as possible. The introductory chat is the only one for which you are not required to register before attending. If the chat is full, the instructor will contact you via e-mail.
Homework Discussion Forum
The homework forum is designed for you to ask your classmates and instructor questions in a timely manner. This gives everyone the opportunity to not only ask their own questions, but also to share their understanding with those in need. Each lesson has a homework forum, and you can receive 5 points per lesson (not per post) for posting. To receive participation points, your posts (minimum of two) must be made within 1 week of the due date for that lesson’s progress evaluation. This is designed to be more of an ongoing conversation and a way to connect to others between chats. Space on these is unlimited, making it a great way to earn online participation points. I will monitor the forum and step in when necessary, but my goal is you to take control of these conversations and make it fit your needs.
AP - Late Work and Absences
Work must be turned in on time for full credit. If you are unable to complete an assignment on time, contact your instructor immediately. Prior permission from the online course instructor must be obained for special circumstances to receive credit for late work. These decisions will be made on an individual basis.
You must notify your instructor if you expect to be offline for more than 1 week.
AP - Exam Prep Through LearningExpress Library
In the next section, you will find "Getting Started Resources." Within the Library Material is LearningExpress Library, which contains AP practice exams and study material, in addition to what is on the AP website.
Below we are providing you with a direct link to the College Prep Center of the LearningExpress Library. You can only launch it through this link. When you arrive, you should see "Mizzou K-12" on the left-hand side, showing that you are with our institution. You will want to create an account in order to save any work or test prep you do.
Once you click the link below, select "Prepare for your AP Exam". Please create a help ticket (Help -> Report a problem) if you cannot find what you are looking for.
Getting Started Resources (Canvas and Other Resources)
View the content below to learn more about each of these elements and how they work in your Mizzou Academy Canvas course.
Academic Integrity
Our academic integrity policy at Mizzou Academy is based on our values of ethical behavior, learning, and giving all stakeholders the benefit of the doubt. Collaboration, research, and technical literacy are vital 21st-century skills when combined with academic integrity.
Definitions
Mizzou Academy's academic integrity policy is aligned with the University of Missouri’s academic integrity policy. The definitions of what constitutes "cheating" and "plagiarism"are posted on the Provost’s Advising Council’s webpage which can be found here: https://advising.missouri.edu/policies/academic-integrity.
Issues Involving Violations of Academic Integrity
If, when completing any of your assignments or exams for this course, you are found to have demonstrated cheating or plagiarism as defined above, this is a violation of academic integrity. At your teacher's discretion, violations of academic integrity may be subject to either or both of the following actions:
- receiving a zero for the assignment or exam
- receiving an F for the course
Accessibility
If you anticipate barriers related to the format or requirements of this course, please let Mizzou Academy know as soon as possible. If disability-related accommodations are necessary (for example, a scribe, reader, extended time on exams, captioning), please contact Mizzou Academy.
About Exams at Mizzou Academy*
*This section describes the policies of exams at Mizzou Academy. This section only applies if you have exams in your course. See the section above to see if you have exams.
ABOUT EXAMS
Your exams are online. It is your responsibility to schedule your exams.
During exams, unless otherwise noted, you are not allowed to navigate away from the exam or use any other resources. If you deviate from the exam guidelines without proper prior permission, it is considered cheating on an exam.
SCHEDULING EXAMS
Global Courses
Mizzou Academy values fair testing and assessment to determine that students master essential course concepts and skills. During a proctored exam, tests are supervised by an impartial individual (a proctor) to help ensure that all exams maintain academic integrity. You will need to use a Mizzou Academy approved proctor. Please see the Exam Proctoring webpage for more information.
- Choose a proctor and make arrangements for taking the exam.
- At least 2 weeks prior to taking your exam, submit your proctor information to Mizzou Academy
- You will be sent an email notice indicating if your chosen proctor has been approved or denied.
- Arrive at your proctor’s testing site at the scheduled time with a photo ID. At testing time, you will log into your Mizzou Academy account and select the exam for your proctor to access and administer.
Global Classroom Courses
If you are taking a global classroom course, work with your local teacher to identify your date of the exam and how you will be proctored. You do not need to request an exam date with the above form.
HOW TO PREPARE FOR EXAMS
- Complete and review all assignments.
- Review the learning objectives; make sure you can accomplish them.
- Be prepared to explain any key terms and concepts.
- Review all the lessons, exercises, and study questions.
- Review any feedback and/or comments on your assignments and previous exams; look up answers to any questions you missed.
Additional Course Policies and links
**Not applicable to World Language courses.
Canvas and Technical Support
Canvas is where course content, grades, and communication will reside for this course.
- courses.mizzouk12.missouri.edu
- This course is mobile-friendly. Download the mobile apps on your iOS, Android device.
- Getting Started with Canvas
- View the Getting Started Canvas Guides.
- For Canvas, Passwords, or any other computer-related technical support create a ticket in Canvas or contact Mizzou Academy Support.
- How to Get Help in Canvas
- Mizzou AcademySupport Phone: +1 855 256-4975
- Tiger Portal login - https://education.missouri.edu/mizzou-academy/
- Mizzou Academy Email - MizzouAcademy@missouri.edu
Course Summary:
Date | Details | Due |
---|---|---|