Derivatives, Slope, Velocity, Rate of Change
00:51:33David Jerison, Calculus — Massachusetts Institute of Technology
Course
Single Variable Calculus
This introductory calculus course covers differentiation and integration of functions of one variable, with applications.
46 Lectures
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Limits, Continuity, Trigonometric Limits
00:52:47David Jerison, Calculus — Massachusetts Institute of Technology
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Derivatives of Products, Quotients, Sine, Cosine
00:49:55David Jerison, Calculus — Massachusetts Institute of Technology
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Chain Rule, Higher Derivatives
00:46:03David Jerison, Calculus — Massachusetts Institute of Technology
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Implicit Differentiation, Inverses
00:49:01David Jerison, Calculus — Massachusetts Institute of Technology
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Hyperbolic Functions (cont.) and Exam 1 Review
00:50:53David Jerison, Calculus — Massachusetts Institute of Technology
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Linear and Quadratic Approximations
00:46:48David Jerison, Calculus — Massachusetts Institute of Technology
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Sets, Functions & Limits- Preface
00:32:06Herbert Gross, Calculus — Massachusetts Institute of Technology
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Sets, Functions & Limits- Derivatives and Limits
00:45:00Herbert Gross, Calculus — Massachusetts Institute of Technology
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A More Rigorous Approach to Limits
00:46:13Herbert Gross, Calculus — Massachusetts Institute of Technology
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Sets, Functions & Limits- Mathematical Inductions
00:29:24Herbert Gross, Calculus — Massachusetts Institute of Technology
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Derivatives of Some Simple Functions
00:28:17Herbert Gross, Calculus — Massachusetts Institute of Technology
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Approximations and Infinitesimals
00:34:36Herbert Gross, Calculus — Massachusetts Institute of Technology
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Composite Functions and the Chain Rule
00:39:16Herbert Gross, Calculus — Massachusetts Institute of Technology
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Differentiation of Inverse Functions
00:28:55Herbert Gross, Calculus — Massachusetts Institute of Technology
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Differentiation- Continuity
00:22:49Herbert Gross, Calculus — Massachusetts Institute of Technology
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Differentiation- Curve Plotting
00:31:49Herbert Gross, Calculus — Massachusetts Institute of Technology
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Differentiation- Maxima and Minima
00:34:53Herbert Gross, Calculus — Massachusetts Institute of Technology
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Differentiation- Rolle's Theorem and its Consequences
00:30:28Herbert Gross, Calculus — Massachusetts Institute of Technology
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Differentiation- Inverse Differentiation
00:42:59Herbert Gross, Calculus — Massachusetts Institute of Technology
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Differentiation- The "Definite" Indefinite Integral
00:29:16Herbert Gross, Calculus — Massachusetts Institute of Technology
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Marriage of Differential and Integral Calculus
00:30:31Herbert Gross, Calculus — Massachusetts Institute of Technology
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Logarithms without Exponents
00:34:46Herbert Gross, Calculus — Massachusetts Institute of Technology
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What a Difference a Sign Makes
00:27:43Herbert Gross, Calculus — Massachusetts Institute of Technology
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Inverse Hyperbolic Functions
00:29:55Herbert Gross, Calculus — Massachusetts Institute of Technology
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More Integration Techniques- Some Basic Recipes
00:30:29Herbert Gross, Calculus — Massachusetts Institute of Technology
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More Integration Techniques- Partial Functions
00:32:29Herbert Gross, Calculus — Massachusetts Institute of Technology
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More Integration Techniques- Integration by Parts
00:27:01Herbert Gross, Calculus — Massachusetts Institute of Technology
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More Integration Techniques- Improper Integrals
00:29:39Herbert Gross, Calculus — Massachusetts Institute of Technology
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Infinite Series- Many Versus Infinite
00:26:31Herbert Gross, Calculus — Massachusetts Institute of Technology
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Infinite Series- Positive Series
00:34:50Herbert Gross, Calculus — Massachusetts Institute of Technology
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Infinite Series- Absolute Convergence
00:21:09Herbert Gross, Calculus — Massachusetts Institute of Technology
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Infinite Series- Polynomial Approximations
00:32:42Herbert Gross, Calculus — Massachusetts Institute of Technology
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Infinite Series- Uniform Convergence
00:28:57Herbert Gross, Calculus — Massachusetts Institute of Technology