 Calculus Video Lectures Return to Mathematics Internet Library   Updated 2/12/20   Please link to ,use as textbook/supplement, and share.
 What is Calculus? Calculus I in 20 Minutes  is a great preview/review. Return to Our  Calculus I, 2, 3 Courses khanacademy.org/ videos run about 4-20 minutes each. Limits and Derivatives Introduction to Limits Limit Examples Limit Examples 2 Limit Examples 3 Limit Examples 4 The Squeeze Theorem Proof lim (Sin x / x) = 1 More limit problems Epsilon Dela Limit Definition 1 Delta Limit Definition 2 Calculus: Derivatives 1 (new version) or Calculus Derivatives 1   Derivatives 2 New or Calculus Derivatives 2                            Derivatives 2.5 Calculus: Derivatives 4: The Chain Rule Calculus: Derivatives 6 Derivatives part 7 Product Rule Calculus Derivative 8 Calculus Derivatives 9  Proof: d/dx(x^n) Proof: d/dx(sqrt(x)) Proof: d/dx(ln x) = 1/x Proof: d/dx(e^x) = e^x Proofs of Derivatives of Ln(x) and e^x Derivative of x^(x^x) Calculus Graphing with Derivatives Example   Optimization with Calculus 1 Optimization with Calculus 2 Optimization with Calculus 3 Optimization Example 4   Introduction to rate-of-change problems Mean Value Theorem AP Calculus BC Exam Problems 2008 1 a   2008 2 a 2008 2 b &c 2008 2d Integrals and Differential Equations Indefinite integrals (part II) Indefinite Integration (part III)  Indefinite Integration (part IV) Indefinite Integration (part 7) Another u-substation example   Introduction to definite integrals Definite integrals 2 Definite Integrals 3 (area under a curve) Definite Integrals 4 Definite Integrals 5 Definite integral with substitution   Integrals: Trig Substitution 1 Integrals: Trig Substitution 2 Integrals: Trig Substitution 3 (long problem)   Introduction to differential equations Separable Differential Equations Separable differential equations 2 Exact Equations Example 1 Exact Equations Example 2 Exact Equations Example 3 Integrating factors 1 Integrating factors 2 First order homogenous equations First order homogenous equations 2 2nd Order Linear Homogeneous Equations 1 2nd Order Linear Homogeneous Equations 2 2nd Order Linear Homogeneous Equations 3 2nd Order Linear Homogeneous  Equations 4 Complex roots of the characteristic equations 1 Complex roots of the characteristic equations 2 Repeated roots of the characteristic equation Repeated roots of the characteristic equations part 2 Undetermined Coefficients 1 Undetermined Coefficients 2 Undetermined Coefficients 3 Undetermined Coefficients 4 Laplace Transform 1 Laplace Transform 2 Laplace Transform 3 (L{sin(at)}) Laplace Transform 4 Laplace Transform 5 Laplace Transform 6 Laplace Transform to solve an equation Laplace Transform 2 Laplace Transform 3 (L{sin(at)}) Laplace Transform 4 Laplace Transform 5 More Laplace Transform tools Laplace Transform to solve a nonhomogenous equation Laplace Transform of : L{t} Introduction to the Convolution Using the Convolution Theorem for Initial Value ProbIntroduction to L'Hopital's Rule L'Hopital's Rule Example 1 L'Hopital's Rule Example 2L' Hopital's Rule Example 3 Sequences and Series part 1) Sequences and series  part 2 Advanced Topics   Polynomial approxi of functions 7   Advanced Proof Field from infinite plate 1 Taylor Polynomials Exponential Growth Divergence 1 Double Integrals 3 Double Integrals 4 Line Integral Example 2 (part 1)   Vector valued function derivative example Scalar Field Line Integral Independent of Path Direction Vector Field Line Integrals Dependent  on Path Direction Closed Curve Line Integrals of Conservative Vector Field Second Example of Line Integral of Conservative Vector Field Green's Theorem Proof (part 2) Introduction to Parametrizing a Surface with Two Parameters Example of calculating a surface integral part 3