Details
Calculus One is a first introduction to differential and integral calculus, emphasizing engaging examples from everyday life.
Workload: 6-10 hours/week
About the Course
Recommended Background
About the Course
Calculus is about the very large, the very small, and how things change. The surprise is that something seemingly so abstract ends up explaining the real world. Calculus plays a starring role in the biological, physical, and social sciences. By focusing
outside of the classroom, we will see examples of calculus appearing in daily life.
This course is a first and friendly introduction to calculus, suitable for someone who has never seen the subject before, or for someone who has seen some calculus but wants to review the concepts and practice applying those concepts to solve problems. One learns calculus by doing calculus, and so this course encourages you to participate by providing you with:
Course Syllabus
This course is a first and friendly introduction to calculus, suitable for someone who has never seen the subject before, or for someone who has seen some calculus but wants to review the concepts and practice applying those concepts to solve problems. One learns calculus by doing calculus, and so this course encourages you to participate by providing you with:
- instant feedback on practice problems
- interactive graphs and games for you to play
- calculus projects and demos you can try at home
- opportunities for you to explain your thought process
Week One: Limits
Week Two: Infinity and Continuity
Week Three: The Derivative
Week Four: Techniques of Differentiation
Week Five: The Chain Rule
Week Six: Derivatives of Transcendental Functions
Week Seven: Applications of Derivatives
Week Eight: Optimization
Week Nine: Linear Approximation
Week Ten: Antidifferentiation
Week Eleven: Integration
Week Twelve: The Fundamental Theorem of Calculus
Week Thirteen: Techniques of Integration
Week Fourteen: Applications of Integration
Previous exposure to calculus is not expected; to succeed, a student should have seen algebra and trigonometry at the high school level.
Suggested Readings
If you already know some calculus, you might consider the more advanced course by UPenn's Robert Ghrist, available athttps://www.coursera.org/course/calcsing
If you are concerned about the background needed to begin calculus, you might consider the pre-calculus course by UCI's Sarah Eichhorn, available athttps://www.coursera.org/course/precalculus
Throughout this course, students can refer to our free online calculus textbook. A preliminary version (which will be updated once the course starts) is available here: http://mooculus.osu.edu
Other free resources will be provided during the course.
Course Format
Other free resources will be provided during the course.
The course consists of short lecture videos, typically between five and fifteen minutes in length. Homework assignments, three midterms, and a final exam provide opportunities for feedback.
Outline
Speaker/s
Bart Snapp
Bareis Lecturer
Mathematics
The Ohio State University
Bareis Lecturer
Mathematics
The Ohio State University
Bart Snapp teaches mathematics at OSU. His research interests include commutative ring theory, number theory, and recreational mathematics. He enjoys exploring connections between mathematics and the real-world problems, art, and music. As an undergraduate, he was involved in distance teaching and learning though OSU's CROSU program.
Prior to OSU, he worked at Coastal Carolina University. Bart earned his Ph.D. from the University Illinois at Urbana-Champaign.
In addition to teaching Calculus One, Bart leads the development of the the textbook and contributes to exercises used in this course.
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