Course Syllabus

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Syllabus   CALCULUS

First Half Unit

Mizzou Academy

Welcome

Welcome to Calculus, First Half Unit.

We are pleased that you selected this self-paced course to fulfill your unique educational needs. You are now a member of the Mizzou Academy's large and diverse student body—a student body that comes from all parts of the United States and many parts of the world.

Although the freedom to choose when and where to study is a privilege, it is also a responsibility that requires motivation and self-discipline. To succeed at self-paced learning, you will need to develop a study plan by setting realistic goals and working toward them.

Course Overview

Calculus, First Half Unit, is designed to provide an overview of mathematical analysis through the study of functions. Functions have been introduced in your algebra classes. Graphing and functions are reviewed in the first lesson of this course. The course continues with the study of limits, a fundamental concept for calculus. Limits are then used to define a fundamental operation of calculus, differentiation. Several topics are covered that apply the use of differentiation. The Fundamental Theorem of Calculus is used for integration, the inverse operation of differentiation. The course ends with differentiation and integration of the natural logarithmic function.

This course is designed to provide an overview of mathematical analysis through the study of functions, which were introduced in the algebra courses. Beginning with a review of graphing and functions, the course continues with the study of limits and differentiation. The Fundamental Theorem of Calculus is used for integration, the inverse operation of differentiation. The course also covers differentiation and integration of the natural logarithmic function.

Pacing

This course can be completed in as few as six weeks or take up to 6 months (180 calendar days). The six weeks are counted from the date of the first lesson submission and not the date of enrollment.

Required Materials

Textbook

Larson, Ron, Robert P. Hostetler, Bruce H. Edwards, and David E. Heyd. Calculus of a Single Variable. (7th Edition). Boston: Houghton-Mifflin, 2002.

MATERIALS

  • You will need a graphing calculator (preferably a Ti-83 or Ti-84).
  • Students will need Microsoft Word to render MathType

Quizzes & Assignments

You should submit all assigned work in sequence (Lesson 1, then Lesson 2, etc.) Assignments for the course are listed in the lesson modules.

Quizzes

The work you will submit for this course consists of 10 computer-evaluated quizzes that are scored instantaneously. They appear in each lesson. Quizzes are open-book assignments that test your knowledge and understanding of the course material presented in a particular lesson's commentary or textbook reading assignment. You may use any assigned readings, your notes, and other course-related materials to complete these assignments. The points you earn on your submitted work count toward your final course grade. Each quiz consists of 20 multiple-choice and true/false questions worth 1 point each for a total of 20 points.

Quizzes are taken online. After you submit them, you’ll quickly receive a report on how you did. Unlike exams, you may use any assigned readings, your notes, and other course-related materials to complete graded quizzes and assignments. 

 

Technical Requirements

The most up-to-date requirements can be found here: 

Additional requirements for the course are below: 

  • audio and video recording capabilities (e.g. smartphone, camera)

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.

Exams

You are required to take two proctored exams for this course.

Exam Matrix
Midterm Exam (through Lessons 5) Final Exam (through Lesson 10)
When to request an exam after you receive your feedback for Lesson 5 after you receive your feedback for Lesson 10
Questions and Type 35 multiple-choice 35 multiple-choice
Points Possible 175 points 175 points
Time Limit 150 minutes 150 minutes
Allowed Materials Pencil, Scratch/Graph Paper, Calculator, Formula Packet Pencil, Scratch/Graph Paper, Calculator, Formula Packet

See the "About Exams" in the policies section for additional information on exams at Mizzou Academy.

Grades

Your final grade will be based on the number of points you earn on quizzes and exams.

Points Distribution
Source Available Points
Progress Evaluations 200
Midterm Exam 175
Final Exam 175
Total 550

You will be able to see your exam percentage in the "Exams" column in your grade book.

Grading Scale
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. 

Canvas and Technical Support

Canvas will be used as the primary platform for accessing course materials and assignments for this class.

Credits and Attributions

Course Credits

Developer
Brennan Ransdell with Mizzou Academy
Instructional Editor
Kimberly Small
Copyeditor
Adrian Corman

Image and Multimedia Attributions

Title graphic
The image in the background of the title graphic is © iStockphoto/rubenhi.
Calculator images
All images of calculators and calculator windows are courtesy of Texas Instruments.
Check Your Understanding icon
Image is © Microsoft Office Online Clip Art and Media.
Lesson 1: Preparation for Calculus
Figure 1.1, the dollar sign, was obtained from Wikimedia Commons courtesy of Anonymoususer and was released into the public domain by its author.
Lesson 2: Limits and Their Properties
Figure 2.1, the speed limit sign, was obtained from Wikimedia Commons courtesy of Ltljltlj and was released into the public domain by its author.
Lesson 3: The Derivative and Differentiation Rules
Figure 3.1, the bouncing basketball, was obtained from Wikimedia Commons courtesy of Richard Bartz and is licensed under the Creative Commons Attribution ShareAlike 3.0 Unported license.
Lesson 4: The Chain Rule, Implicit Differentiation, and Related Rates
Figure 4.1, the hourglass, was obtained from Wikimedia Commons courtesy of S Sepp and is licensed under the GNU Free Documentation license.
Lesson 5: Finding Extrema on an Interval and the First Derivative Test
Figure 5.1, the speedometer, was obtained from Wikimedia Commons courtesy of FlickreviewR and is licensed under the Creative Commons Attribution 2.0 Generic license.
Lesson 8: Integration
Figure 8.1, the theme park, was obtained from Wikimedia Commons courtesy of Angcr and is licensed under the Creative Commons Attribution 3.0 Unported license.

Rights holders of any materials not credited on this page or cited within the course should contact Mizzou K-12 Online / MU High School.

Course Summary:

Course Summary
Date Details Due