Independent academic archive · Rights remain with the original publishers · Streamed via YouTube
Independent academic archive · Rights remain with the original publishers · Streamed via YouTube

Differentials and Antiderivatives
48:53Mean Value Theorem and Inequalities
49:42Newton's Method and Other Applications
53:23Related Rates
49:56Max-Min Problems
49:42Approximations (cont.); Curve Sketching
51:44Linear and Quadratic Approximations
46:48Exponential and Logarithmic Functions; Logarithmic Differentiation; Hyperbolic Functions
47:57Implicit Differentiation, Inverses
49:01Chain Rule; Higher Derivatives
46:03Hyperbolic Functions (cont.) and Exam 1 Review
50:53Derivatives of Products, Quotients, Sine, and Cosine
49:55Limits, Continuity, and Trigonometric Limits
52:47Derivatives, Slope, Velocity, and Rate of Change
51:33Introduces the concepts of differentials and antiderivatives, fundamental operations in integral calculus, and explores their applications in solving mathematical problems.
Opening lecture of 14-session syllabus
Mean Value Theorem and Inequalities
Professor of Mathematics Emeritus, Massachusetts Institute of Technology
MIT Professor of Mathematics Emeritus whose legendary 18.06 Linear Algebra and 18.085 Computational Science courses educated millions of engineers and mathematicians.
B.A. Balliol College, Oxford (1957, Rhodes Scholar)