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Browse materialsMIT 18.01 · Fall 2006

Single Variable Calculus

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

Instructor: Prof. David Jerison
Term: Fall 2006
Level: Undergraduate
What's inside: 36 videos · 10 problem sets · 21 exams · 15 solutions · 1 lecture note · 1 reading · 90 other files · 8 web pages
Materials open: Videos here · files on MIT OCW

Other versions of this course

18.01 · Fall 2020 · On MIT OCW ↗
18.01SC · Fall 2010 · Study here
18.01 · Fall 2006 · Study here (this version)
18.01 · Fall 2005 · On MIT OCW ↗

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About this course

Source: MIT OpenCourseWare 18.01 Single Variable Calculus, Fall 2006, Prof. David Jerison — original course page on ocw.mit.edu ↗. License: CC BY-NC-SA 4.0. Study order: MIT's own listing order, section by section. Taken from MIT's published course files, downloaded from ocw.mit.edu on September 22, 2026. How RedLectern is built.

Materials are grouped the way MIT organized them. A verified, course-wide order has not been established here.

Has MIT solutions 15 files in this course are named by MIT as solutions.

Before you start

Prerequisites are not listed here. Check MIT's own syllabus for this course.

How this course was organized

What's here, and what isn't

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Materials by section

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

Readings

13 files in this section

Course Reader

13 files

Lecture Notes

39 files

Exams

43 files

Other materials from this course

5 files

1 video

Single Variable CalculusVideo Open ↗

36 video transcripts

36 images

MIT OpenCourseWare, Prof. David Jerison, 18.01 Single Variable Calculus, Fall 2006.

License: CC BY-NC-SA 4.0 · Edition: Fall 2006 · Open the original course on OCW ↗

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Single Variable Calculus

Before you start

What's here, and what isn't

Not included here

Materials by section

Readings

Course Reader

Lecture Notes

Exams

Other materials from this course

Lecture 1: Rate of Change

Lecture 2: Limits

Lecture 3: Derivatives

Lecture 4: Chain Rule

Lecture 5: Implicit Differentiation

Lecture 6: Exponential and Log

Lecture 7: Exam 1 Review

Lecture 9: Linear and Quadratic Approximations

Lecture 10: Curve Sketching

Lecture 11: Max-min

Lecture 12: Related Rates

Lecture 13: Newton's Method

Lecture 14: Mean Value Theorem

Lecture 15: Antiderivatives

Lecture 16: Differential Equations

Lecture 18: Definite Integrals

Lecture 19: First Fundamental Theorem

Lecture 20: Second Fundamental Theorem

Lecture 21: Applications to Logarithms

Lecture 22: Volumes

Lecture 23: Work, Probability

Lecture 24: Numerical Integration

Lecture 25: Exam 3 Review

Lecture 27: Trig Integrals

Lecture 28: Inverse Substitution

Lecture 29: Partial Fractions

Lecture 30: Integration by Parts

Lecture 31: Parametric Equations

Lecture 32: Polar Coordinates

Lecture 33: Exam 4 Review

Lecture 35: Indeterminate Forms

Lecture 36: Improper Integrals

Lecture 37: Infinite Series

Lecture 38: Taylor's Series

Lecture 39: Final Review