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Integrals and differentials: general overview
Calculus Differentiation Formulas, Derivatives-Chain and Power Rules, Derivatives-Product and Quotient Rules, Curve Sketching, Integration Formulas, Integration by Parts, Integration by Partial Fractions, Integration by Substitution, Infinite Series: Popular Series, Infinite Series: Popular Limits, Infinite Series: Covergance/Divergance, Infinite Series
Difference equations to differential
Integrals, Definite Integral and Differential Equations Integrals, Definite Integral and Differential Equations
Karl's calculus tutorial derivative, integral, limit, continuity, continuous, function, L'Hopital, converge, differential, number systems, real numbers, rational numbers, counting numbers, integer, exponential, logarithm, trigonometry, min-max
Mathpages various mathematical topics: number theory, calculus and differential equations, geometry, combinatorics
UBC calculus
Visual calculus pre calculus, limits and continuity, derivatives, applications of differentiation, integration, applications of integration, sequences and series. Javascript and flash involved a tip
Differentials: topics
Calculus and differential equations a tip
Continuity and differentiability
Differential equations differential equations, First-order differential equations, Direct integration, Separable equations, Making an equation separable by changing the variable, Finding and using an "Integrating Factor" , Second-order differential equations, Homogeneous constant-coefficient equations, Inhomogeneous constant-coefficient equations
Differential equations differential equations and electrical circuits
Definition of derivative at a point In this tutorial, we define what is meant by the derivative of a function f at a point x = a. This concept is motivated by the definition of the tangent line to the graph of f at a point x = a. Several examples are provided including a couple of examples where the derivative does not exist
Definition of definite integrals
Definition of the derivative
Definition of the derivative The essence of calculus is the derivative. The derivative is the instantaneous rate of change of a function with respect to one of its variables. This is equivalent to finding the slope of the tangent line to the function at a point. Let's use the view of derivatives as tangents to motivate a geometric definition of the derivative
Derivative pdf file
Derivatives of exponentials & logarithms pdf file
Derivatives of logarithmic and exponential functions
Derivatives of Trigonometric Functions
Differential equations pdf file
Differential equations a differential equation is an equation involving an unknown function and its derivatives, first order differential equations, second order differential equations, higher order linear equations, Laplace transform, Fourier series, Bessel's inequality and Parseval formula - the energy theorem
Differentiating the exponential and logarithm functions pdf file
Differentiation and integration of vector valued functions
Differentiations definition of the derivative, chain rule, implicit differentiation
Euler and differentials pdf file
Function analysis
Hyperbolic functions pdf file
Implicit differentiation find the derivative of an implicitly defined function using implicit differentiation
Implicit differentiation how Implicit differentiation works
Limit of a Function The following applet can be used to examine the limit of the function f(x) as x approaches a
Limit definition of the derivative pdf file
Limits, continuity, and the derivative This section contains a sketch of the formal mathematics that is required to fully develop the concept of the derivative
logarithmic differentiation the process of logarithmic differentiation
Logarithmic or inverse tangent The following problems involve the integration of rational functions, resulting in logarithmic or inverse tangent functions
Mathematics reference: rules for differentiation
Partial differentiation
The Fundamental Theorem of Calculus The Fundamental Theorem of Calculus expresses a relationship between integration and differentiation
Integrals: topics
Applications of the definite integral to calculating volume and length pdf file
Applications of the de definite integral to calculating volume and length pdf file
Area Between Curves Area Between Curves
Area Between Two Curves Recall that the area under a curve and above the x axis can be computed by the definite integral
Area of a Circle Applications of Integration
Average value Average Value of a Function
Definite Integral The Length of a Curve, Volumes of Revolution, Area of Surface of Revolution
Definite Integral The Length of a Curve
Finding areas by integration Integration can be used to calculate areas. In simple cases, the area is given by a single definite integral, pdf file
Finding the Area Between Curves
Integrals Understand the definition of an integral, Cite the general laws of an integration, Recognize the integrals of some common functions, Calculate an integral
Integrals of Trigonometric Functions
Integration covers the uniqueness theorem, inverse property and applications of indefinite integrals, a tip
Integration and applications antiderivatives, substitution, integration of exponentials and logs, the first fundamental theorem of calculus, area between two curves, Riemann Sums, volumes of revolution
Integration as summation Integration as summation, pdf file
Integration as the reverse of differentiation Integration can be introduced in several different ways. One way is to think of it as differentiation in reverse. This approach is described in this leaflet, pdf file
Integration by parts
Integration by substitution Integration by substitution, This technique involves making a substitution in order to simplify an integral before evaluating it, pdf file
Integration of inverse trigonometric functions integration of inverse trigonometric functions, pdf file
Integration of rational functions integration of rational functions, pdf file
Improper integrals how Improper integrals work
Improper integrals
Mathematics reference: rules for integration
Multiple integrals double integrals, triple integrals
Multiple integrals multiple integrals
Multiple integrals multiple integrals, pdf file
Multiple integration iterated integrals and area, double integrals and volume, double integration in polar coordinates, center of mass and moment of inertia, surface area, triple integrals, triple integrals in cylindrical and spherical coordinates, Jacobians
Table of elementary indefinite integrals
Techniques of integration substitution, integration by parts, partial fractions and logistics growth, trapezoidal and Simpson's rule, improper integrals, derivatives of trigonometric functions, integrals of trigonometric functions
The Fundamental Theorem of Calculus The Fundamental Theorem of Calculus expresses a relationship between integration and differentiation
Trigonometric functions
Trigonometric substitutions solving integrals using trigonometric substitutions, pdf file
Volumeberekening van omwentelingslichamen ppt file
Volume by Discs and Washers
Volumes of solids of revolution The volume of a sphere, The volume of a cone, pdf file
Volumes of solids of revolution Volumes of solids of revolution

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Last updated on: 2011-01-22 | Copyright © 2011-2021 Educypedia.