18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

2. Applications of Differentiation

Part C: Mean Value Theorem, Antiderivatives and Differential Equations

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The Mean Value Theorem is the key to proving that our abstract definition of a “derivative” faithfully describes our informal notion of a “rate of change.” The second half of this part of the course introduces notation for and discusses the possibility of reversing the process of differentiation.

» Session 34: Introduction to the Mean Value Theorem
» Session 35: Using the Mean Value Theorem
» Session 36: Differentials > » Session 37: Antiderivatives
» Session 38: Integration by Substitution > » Session 39: Introduction to Differential Equations > » Session 40: Separation of Variables > » Problem Set 5

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Course Info

As Taught In
Fall 2010
Learning Resource Types
Exams with Solutions
Lecture Notes
Lecture Videos
Problem Sets with Solutions
Recitation Videos