MIT OCW - 18.01 Single Variable Calculus (Fall 2006)

MIT OCW - 18.01 Single Variable Calculus (Fall 2006). This consists of 39 video lectures given by Professor David Jerison, on single variable calculus. This is an introductory calculus course covering differentiation and integration of functions of one variable, with applications: differentiation, application of differentiation, definite integral and its applications, techniques of integration, and a brief discussion of infinite series. (from ocw.mit.edu)

01 - Derivatives, slope, velocity, rate of change 21 - Applications to Logarithms and Geometry
02 - Limits, Continuity 22 - Volumes by Disks and Shells
03 - Derivatives 23 - Work, Average Value, Probability
04 - Chain Rule 24 - Numerical Integration
05 - Implicit Differentiation 25 - Exam 3 Review
06 - Exponential and Log 26 - Lecture
07 - Hyperbolic Functions 27 - Trigonometric integrals and substitution
08 - Lecture 28 - Integration by inverse substitution
09 - Linear and Quadratic Approximations 29 - Partial Fractions
10 - Curve Sketching 30 - Integration by Parts
11 - Max-min Problems 31 - Parametric Equations
12 - Related Rates 32 - Polar Coordinates
13 - Newton's Method and other applications 33 - Exam 4 Review
14 - Mean Value Theorem 34 - Lecture
15 - Differentials, Antiderivatives 35 - Indeterminate Forms
16 - Differential Equations 36 - Improper Integrals
17 - Lecture 37 - Infinite Series
18 - Definite Integrals 38 - Taylor's Series
19 - First Fundamental Theorem 39 - Final Review
20 - Second Fundamental Theorem


Web.. 18.01 Single Variable Calculus
Instructors: Prof. David Jerison. Lecture Notes. Exams and Solutions. Subtitles/Transcript. Assignments (no Solutions). This covers differentiation and integration of functions of one variable, with applications.
ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/