2013
Country: USA
Subject: Mathematics
18:26:28
English
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.
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: Fundamental Theorem of Calculus
Week Thirteen: Techniques of Integration
Week Fourteen: The Substitution Rule
Week Fifteen: Volume
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