Course Information

Name:	Massachusetts Institute of Technology (MIT)
Type:	University

Support the MIT OpenCourseWare program

Name

David Jerison

18.01 Single Variable Calculus

Video Lectures

Displaying all 23 video lectures.

I. Derivatives
Lecture 1 Play Video	Derivatives, Slope, Velocity, Rate of Change
Lecture 2 Play Video	Limits, Continuity, Trigonometric Limits
Lecture 3 Play Video	Differentiation Formulas
Lecture 4 Play Video	Chain Rule and Implicit Differentiation
Lecture 5 Play Video	Implicit Differentiation and Inverses
Lecture 6 Play Video	Exponential, Log, Logarithmic Differentiation, Hyperbolic Functions
Lecture 7 Play Video	Hyperbolic Functions (cont.) and Review
II. Applications of Differentiation
Lecture 9 Play Video	Linear and quadratic approximations
Lecture 10 Play Video	Curve sketching
Lecture 11 Play Video	Max-min problems
Lecture 12 Play Video	Related rates
Lecture 13 Play Video	Newton's Method and Other Applications
Lecture 14 Play Video	Mean Value Theorem and Inequalities
Lecture 15 Play Video	Differentials & Antiderivatives
Lecture 16 Play Video	Differential Equations & Separation of Variables
III. Integration
Lecture 18 Play Video	Definite integrals
Lecture 19 Play Video	First Fundamental Theorem of Calculus
Lecture 20 Play Video	Second Fundamental Theorem
Lecture 21 Play Video	Applications to Logarithms and Geometry
Lecture 22 Play Video	Volumes by Disks and Shells
Lecture 23 Play Video	Work, Average Value and Probability
Lecture 24 Play Video	Numerical Integration
Lecture 25 Play Video	Exam 3 Review