Calculus is a branch of mathematics concerned with two types of functions: derivatives and integrals.
The derivative calculates the rate of change of the function at a point on a curved line. This formula also works for a straight line, as well. A derivative of a function is written by adding a apostrophe like this: f'(x). One of the applications of derivatives is to determine velocity and acceleration of an object in motion.
Integrals measure the area under a curved line graph, such as a half circle. The integral symbol looks like a flattened S.
Derivatives and integrals are related in that they are inverse functions of each other. That means the operations will cancel each other out, such as taking the square root of a squared number will give you the original number.
Applications of integrals include calculating areas of plane regions or surfaces, as well as calculating volumes of solids.
Both derivatives and integrals are defined by using the concept of a limit. An example of a limit is where you have the equation 1/x. If you take x to be very large, then 1/x gets closer to 0.
More information
The derivative calculates the rate of change of the function at a point on a curved line. This formula also works for a straight line, as well. A derivative of a function is written by adding a apostrophe like this: f'(x). One of the applications of derivatives is to determine velocity and acceleration of an object in motion.
Integrals measure the area under a curved line graph, such as a half circle. The integral symbol looks like a flattened S.
Derivatives and integrals are related in that they are inverse functions of each other. That means the operations will cancel each other out, such as taking the square root of a squared number will give you the original number.
Applications of integrals include calculating areas of plane regions or surfaces, as well as calculating volumes of solids.
Both derivatives and integrals are defined by using the concept of a limit. An example of a limit is where you have the equation 1/x. If you take x to be very large, then 1/x gets closer to 0.
More information
Subcategories 9
Related categories 5
Sites 22
Offers downloadable pdf files covering a range of integrals, derivatives and theorems.
[pdf]
Contains information of the history, principles, and applications of calculus.
Covers almost all topics in Calculus. Every note has illustrations and a lot of examples.
An internet tutoring utility for learning and practicing calculus. C.O.W. gives the student or interested user the opportunity to learn and practice problems. Instant feedback for the correctness of answers.
Features topic summaries with practice exercises for derivative and integral calculus. Includes solutions. Authored by D. A. Kouba.
This is a clearly written tutorial with plenty of graphic aids. Meant as an introduction for nonspecialists. Covers many of the basics, including differentiation.
Offers a reference containing the main theories and equations of calculus
Directory of calculus links for tutorials, homework help, history sample tests, and tips on exam preparation.
An online differential calculus textbook including practice activities.
Features practice exams and worked out solutions covering limits, derivatives and integrals. In PDF format.
An online symbolic derivative calculator that supports partial derivatives and shows the input as a graphical formula.
Online course providing tutorials on subjects ranging from precalculus to differential equations. Includes math tools and resource links.
An online book by H. Jerome Keisler. Covers differentiation, continuous functions, integration, limits, applications, infinite series, vector calculus and differential equations.
Graphical demonstrations developed by Douglas N. Arnold for the first year calculus student.
This site is dedicated to help students achieve an intuitive grasps of the concepts in basic calculus while still being able to solve the problems they may find in a regular course.
Topics include limits, derivatives, integrals, infinite sequences and Fourier series.
Explains concepts in detail of limits, convergence of series, finding the derivative from the definition and continuity. Some basic formula conversions are given.
Covers wide range of caclulus topics: from pre-calculus (definition of function) to multivariable calculus (double integrals).
Humorous approach to lessons , which are given using Real Player video clips. Topics cover the concept of limit, derivatives, and summation series.
A free, complete 360 page book covering all the basics of Calculus.
Offers calculus application examples for the mathematical properties of a rainbow, the fundamental theorem of calculus, methods of maximizing structural beams in a building, and modeling population growth. Includes general formulas to go along with the word problems and a variety of questions in relation to each exercise.
An overview of calculus ideas. Covered are derivative rules and formulas as well as some basic integration rules.
Covers wide range of caclulus topics: from pre-calculus (definition of function) to multivariable calculus (double integrals).
Covers almost all topics in Calculus. Every note has illustrations and a lot of examples.
Topics include limits, derivatives, integrals, infinite sequences and Fourier series.
An online symbolic derivative calculator that supports partial derivatives and shows the input as a graphical formula.
This site is dedicated to help students achieve an intuitive grasps of the concepts in basic calculus while still being able to solve the problems they may find in a regular course.
Offers downloadable pdf files covering a range of integrals, derivatives and theorems.
[pdf]
Online course providing tutorials on subjects ranging from precalculus to differential equations. Includes math tools and resource links.
This is a clearly written tutorial with plenty of graphic aids. Meant as an introduction for nonspecialists. Covers many of the basics, including differentiation.
Contains information of the history, principles, and applications of calculus.
An online book by H. Jerome Keisler. Covers differentiation, continuous functions, integration, limits, applications, infinite series, vector calculus and differential equations.
Offers a reference containing the main theories and equations of calculus
An internet tutoring utility for learning and practicing calculus. C.O.W. gives the student or interested user the opportunity to learn and practice problems. Instant feedback for the correctness of answers.
Features topic summaries with practice exercises for derivative and integral calculus. Includes solutions. Authored by D. A. Kouba.
Features practice exams and worked out solutions covering limits, derivatives and integrals. In PDF format.
Humorous approach to lessons , which are given using Real Player video clips. Topics cover the concept of limit, derivatives, and summation series.
Offers calculus application examples for the mathematical properties of a rainbow, the fundamental theorem of calculus, methods of maximizing structural beams in a building, and modeling population growth. Includes general formulas to go along with the word problems and a variety of questions in relation to each exercise.
Graphical demonstrations developed by Douglas N. Arnold for the first year calculus student.
Explains concepts in detail of limits, convergence of series, finding the derivative from the definition and continuity. Some basic formula conversions are given.
A free, complete 360 page book covering all the basics of Calculus.
Directory of calculus links for tutorials, homework help, history sample tests, and tips on exam preparation.
An online differential calculus textbook including practice activities.
An overview of calculus ideas. Covered are derivative rules and formulas as well as some basic integration rules.
Other languages 2
Last update:
October 18, 2023 at 6:45:06 UTC
Check out
Science: Technology: Civil Engineering: History: People: de Lesseps, Ferdinand
- Recently edited by merlin1
- Recently edited by merlin1