Resources | Single Variable Calculus | Mathematics | MIT OpenCourseWare

Course Info

Instructor

Prof. David Jerison

Departments

Mathematics

As Taught In

Fall 2006

Level

Undergraduate

Topics

Mathematics

Calculus

Differential Equations

Learning Resource Types

Problem Sets

Exams with Solutions

Lecture Notes

Lecture Videos

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This package contains the same content as the online version of the course, except for the audio/video materials. These can be downloaded below. For help downloading and using course materials, read our FAQs.

Lecture Videos

Lecture 1: Rate of Change

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

Assignments

Exams

Exam 1 Solutions

Exam 2 Solutions

Exam 3 Solutions

Lecture Notes

Lecture 1: Derivatives, Slope, Velocity, and Rate of Change

Lecture 10: Curve Sketching

Lecture 11: Max/Min Problems

Lecture 12: Related Rates

Lecture 13: Newton’s Method and Other Applications

Lecture 14: Mean Value Theorem and Inequalities

Lecture 15: Differentials and Antiderivatives

Lecture 16: Differential Equations and Separation of Variables

Lecture 18: Definite Integrals

Readings

Continuity and Discontinuity

Exercises Sections 1-7

Exponentials and Logarithms

Graphing Functions

Heaviside's Cover-up Method

Improper Integrals

Mean-value Theorem

Properties of Definite Integrals

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