Información del curso
Calculus One (SEM 3)
(CALCULO I)
Calculus One
Bart Snapp
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
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:
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
Course Syllabus
Week One: Functions and Limits
Week Two: Infinity and Continuity
Week Three: Basics of Derivatives
Week Four: Curve Sketching, The Product Rule and Quotient Rule
Week Five: The Chain Rule
Week Six: The Derivatives of Trigonometric Functions and their Inverses
Week Six: The Derivatives of Trigonometric Functions and their Inverses
Week Seven: Applications of Differentiation
Week Eight: Optimization
Week Nine: Linear Approximation
Week Ten: Antiderivatives
Week Eleven: Integrals
Week Twelve: The Fundamental Theorem of Calculus
Week Thirteen: Techniques of Integration
Week Fourteen: Applications of Integration
Week Fourteen: Applications of Integration
Recommended Background
Previous exposure to calculus is not expected; to succeed, a student should have seen algebra and trigonometry at the high school level.
If you already know some calculus, you might consider the more advanced course by UPenn's Robert Ghrist, available at https://www.coursera.org/course/calcsing, or our Calculus Two course, available at https://www.coursera.org/course/sequence.
If you are concerned about the background needed to begin calculus, you might consider the pre-calculus course by UCI's Sarah Eichhorn, available at https://www.coursera.org/course/precalculus
Suggested Readings
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.
Other free resources will be provided during the course.
Course Format
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.
FAQ
Will I get a certificate after completing this class?
Mathematics is a human activity: to participate, pen and paper is highly recommended.
What is the coolest thing I'll learn if I take this class?
Yes. Students who successfully complete the class will receive a certificate signed by the instructor.
Other than an Internet connection, what resources will I need for this class?Mathematics is a human activity: to participate, pen and paper is highly recommended.
What is the coolest thing I'll learn if I take this class?
The coolest thing you'll learn is that all the cool things you learn are connected at the deepest level: whether it's where three bubbles meet, how to tell time with water, or how to calculate square roots by hand, there is one system which binds them together.