Calculus Revisited: Single Variable Calculus

MIT OCW - Calculus Revisited: Single Variable Calculus (Res.18-006). This consists of 39 video lectures taught by Professor Herbert Gross, giving an overview of the topics: sets, functions, differential calculus, integral calculus, trigonometric functions, logarithms, and infinite series. Calculus Revisited is a series of videos and related resources that covers the materials normally found in a freshman-level introductory calculus course. The series was first released in 1970 as a way for people to review the essentials of calculus. It is equally valuable for students who are learning calculus for the first time. (from ocw.mit.edu)

Course Introduction Part IV - The Definite Integral (4)
Part I - Sets, Functions and Limits (6) P4Lec 1 - The Definite Integral
P1Lec 1 - Analytic Geometry P4Lec 2 - Marriage of Differential and Integral Calculus
P1Lec 2 - Functions P4Lec 3 - Three-Dimensional Area
P1Lec 3 - Inverse Functions P4Lec 4 - One-Dimensional Area
P1Lec 4 - Derivatives and Limits Part V - Transcendental Functions (4)
P1Lec 5 - A More Rigorous Approach to Limits P5Lec 1 - Logarithms without Exponents
P1Lec 6 - Mathematical Induction P5Lec 2 - Inverse Logarithms
Part II - Differentiation (11) P5Lec 3 - What a Difference a Sign Makes
P2Lec 1 - Derivatives of Some Simple Functions P5Lec 4 - Inverse Hyperbolic Functions
P2Lec 2 - Approximations and Infinitesimals Part VI - More Integration Techniques (4)
P2Lec 3 - Composite Functions and the Chain Rule P6Lec 1 - Some Basic Recipes
P2Lec 4 - Differentiation of Inverse Functions P6Lec 2 - Partial Fractions
P2Lec 5 - Implicit Differentiation P6Lec 3 - Integration by Parts
P2Lec 6 - Continuity P6Lec 4 - Improper Integrals
P2Lec 7 - Curve Plotting Part VII - Infinite Series (6)
P2Lec 8 - Maxima and Minima P7Lec 1 - Many Versus Infinite
P2Lec 9 - Rolle's Theorem and its Consequences P7Lec 2 - Positive Series
P2Lec 10 - Inverse Differentiation P7Lec 3 - Absolute Convergence
P2Lec 11 - The "Definite" Indefinite Integral P7Lec 4 - Polynomial Approximations
Part III - The Circular Functions (2) P7Lec 5 - Uniform Convergence
P3Lec 1 - Circular Functions P7Lec 6 - Uniform Convergence of Power Series
P3Lec 2 - Inverse Circular Functions


Web.. Calculus Revisited: Single Variable Calculus
Instructor: Professor Herbert Gross. Lecture Notes. Assignments and Solutions. Calculus Revisited covers the materials normally found in a freshman-level introductory calculus course.
ocw.mit.edu/resources/res-18-006-calculus-revisited-fall-2010/