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Calculus Revisited: Single Variable Calculus

Calculus Revisited: Single Variable Calculus (Res.18-006, MIT OCW). Taught by Professor Herbert Gross, this course gives an overview of single variable calculus covering various 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 I - Sets, Functions and Limits (6) Part IV - The Definite Integral (4)
P1Lec 01 - Analytic Geometry P4Lec 01 - The Definite Integral
P1Lec 02 - Functions P4Lec 02 - Marriage of Differential and Integral Calculus
P1Lec 03 - Inverse Functions P4Lec 03 - Three-Dimensional Area
P1Lec 04 - Derivatives and Limits P4Lec 04 - One-Dimensional Area
P1Lec 05 - A More Rigorous Approach to Limits Part V - Transcendental Functions (4)
P1Lec 06 - Mathematical Induction P5Lec 01 - Logarithms without Exponents
Part II - Differentiation (11) P5Lec 02 - Inverse Logarithms
P2Lec 01 - Derivatives of Some Simple Functions P5Lec 03 - What a Difference a Sign Makes
P2Lec 02 - Approximations and Infinitesimals P5Lec 04 - Inverse Hyperbolic Functions
P2Lec 03 - Composite Functions and the Chain Rule Part VI - More Integration Techniques (4)
P2Lec 04 - Differentiation of Inverse Functions P6Lec 01 - Some Basic Recipes
P2Lec 05 - Implicit Differentiation P6Lec 02 - Partial Fractions
P2Lec 06 - Continuity P6Lec 03 - Integration by Parts
P2Lec 07 - Curve Plotting P6Lec 04 - Improper Integrals
P2Lec 08 - Maxima and Minima Part VII - Infinite Series (6)
P2Lec 09 - Rolle's Theorem and its Consequences P7Lec 01 - Many Versus Infinite
P2Lec 10 - Inverse Differentiation P7Lec 02 - Positive Series
P2Lec 11 - The "Definite" Indefinite Integral P7Lec 03 - Absolute Convergence
Part III - The Circular Functions (2) P7Lec 04 - Polynomial Approximations
P3Lec 01 - Circular Functions P7Lec 05 - Uniform Convergence
P3Lec 02 - Inverse Circular Functions P7Lec 06 - Uniform Convergence of Power Series

References
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.