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Browse materialsMIT 18.01SC · 1. Differentiation

Single Variable Calculus — 1. Differentiation

Subjects: Calculus · Mathematics

Art: Anonymous painter,15th century, Westerner and Arab practicing geometry 15th century manuscript, 15th… · Public domain

About this course

Source: MIT OpenCourseWare 18.01SC Single Variable Calculus, Fall 2010, Prof. David Jerison — original course page on ocw.mit.edu ↗. License: CC BY-NC-SA 4.0. Study order: this unit's sessions in MIT's listing order. Taken from MIT's published course files, downloaded from ocw.mit.edu on September 22, 2026. How RedLectern is built.

Instructor
Prof. David Jerison
Term
Fall 2010
Level
Undergraduate
What's inside
81 videos · 1 problem set · 46 other files
Materials open
Videos here · files on MIT OCW
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Materials by section

Grouped by section, as MIT organized them. Not sequenced or ordered.

Session 1: Introduction to Derivatives
Session 2: Examples of Derivatives
Session 3: Derivative as Rate of Change
Session 4: Limits and Continuity
Session 5: Discontinuity
Session 7: Derivatives of Sine and Cosine
Session 8: Limits of Sine and Cosine
Session 9: Product Rule
Session 10: Quotient Rule
Session 11: Chain Rule
Session 12: Higher Derivatives
Problem Set 1
Session 13: Implicit Differentiation
Session 14: Examples of Implicit Differentiation
Session 15: Implicit Differentiation and Inverse Functions
Session 16: The Derivative of aˣ
Session 17: The Exponential Function, its Derivative, and its Inverse
Session 19: An Interesting Limit Involving e
Session 20: Hyperbolic Trig Functions
Problem Set 2
Session 22: Materials for Exam 1