Wolfram Research
Wolfram Math World: Fundamental Theorem of Calculus
This MathWorld site offers an explanation of the fundamental theorem of calculus includes links to other relevant information.
Texas Instruments
Texas Instruments: Riemann Sums and the Fundamental Theorem of Calculus
In this activity, students learn and explore how Indefinite integrals are used to find the antiderivative of a function. They also learn that Definite integrals can be used to find the area bounded by a function and the X-axis. From...
Department of Defense
Do Dea: Fundamental Theorem of Calculus Part 1
Familiarize yourself with one of the most important theorems in all of calculus, the Fundamental Theorem of Calculus. Plenty of examples and explanations are provided. This is a great review for AP Calculus test!
Department of Defense
Do Dea: Fundamental Theorem of Calculus Part 2
This part of the Fundamental Theorem of Calculus tells us what happens when you take the derivative of an integral that has a variable as an upper limit of integration. Examples and explanations are provided. Great review for the AP...
Paul Dawkins
Paul's Online Notes: Calculus I: Proof of Various Integral Properties
The tutorial examines proofs of several properties of integrals. Topics discussed are the fundamental theorem of calculus, extreme value theorem, work, and mean value theorem. Class notes, proofs, and examples with detailed solutions are...
Other
Karl's Calculus Tutor: Integrals
This site provides a detailed overview of intregals, including a focus on the fundamental theorem of calculus to definite and indefinite integrals. Content includes numerous examples and exercises.
ClassFlow
Class Flow: The Fundamental Theorem of Calculus
[Free Registration/Login Required] Although inverse operations, the two major branches of calculus- differentiated calculus and integrated calculus- are closely related. This connection was discovered by Isaac Newton and Gottfried...
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: The Definite Integral: Algebraic Approach and the Ftc
Students learn how to evaluate the definite integral using an algebraic approach and the Fundamental Theorem of Calculus. Topics examined are the antiderivative, substitution technique, and marginal cost. The tutorial explores the...
University of St. Andrews (UK)
University of St. Andrews: A History of the Calculus
A site detailing the history of calculus. Many links to informative pages on historical figures. Also links to birthplace maps.
Texas Instruments
Texas Instruments: Fundamental Theorem of Calculus
In this activity, students explore the connection between an accumulation function, one defined by a definite integral, and the integrand. They also discover that the derivative of the accumulator is the integrand.
Massachusetts Institute of Technology
Mit: Open Course Ware: Calculus With Theory
The online course consists of educational materials about calculus theory. Lecture notes, syllabus, and assignments with solutions are included.
Department of Defense
Do Dea: Ap Calculus
View xplanations and examples using the Fundamental Theorem of Calculus. Great review for the AP Calculus test!
Department of Defense
Do Dea: Ap Calculus
View explanations and examples using the Fundamental Theorem of Calculus. Great review for the AP Calculus test!
Math Notes and Math Tests
Pre Calculus Notes: The Fundamental Theorem of Algebra (Fta) [Pdf]
Learners examine the fundamental theorem of algebra. The resource investigates the linear factorization theorem, Descartes's rule of signs, and rules for zeros.
Other
Dans Math: Lessons: Calculus (Part 2)
College professor Dan Bach offers a review of the calculus concepts of integrals and vectors. Examples and animated graphs are provided.
Texas Instruments
Texas Instruments: Accumulation Functions
In this activity, students examine functions defined by a definite integral. They create tables and graphs for integration functions. They understand the foundation of the Fundamental Theorem of Calculus.
Paul Dawkins
Paul's Online Notes: Calculus Iii: Line Integrals
The resource examines line integrals and interpretations of the line integral. Topics investigated are the fundamental theorem for line integrals, Green?s theorem, and conservative vector fields. Class notes, definitions, and examples...
Richland Community College
Richland Community College: Mathematical Information
This site, which is provided for by the Richland Community College, explains the several mathematical theorems.
Texas Instruments
Texas Instruments: Solving Diff Eqs: Fundamental Theorem Calculus
This activity exclusively uses the graphing calculator's ability to apply Euler's method to find a solution to a differential equation with a given initial condition.
CK-12 Foundation
Ck 12: Analysis: Fundamental Theorem of Algebra
[Free Registration/Login may be required to access all resource tools.] This lesson shows you how to find any solution, including imaginary ones, to a polynomial. Students examine guided notes, review guided practice, watch instructional...
Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: Roots of Higher Degree Polynomial
Here is a site that clearly and thoroughly explains how to find the roots of polynomials of degree greater than two. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this...
Mathematics Archives
Math Archives: Visual Calculus: Polynomials
The definition and properties of polynomial functions are explained, and their graphs explored. Examples and LiveMath notebook activities make the site interactive in getting the students to test their knowledge of the material.
Wolfram Research
Wolfram Math World: Integral
Good site from MathWorld.com on integration with links to the topics and information needed to help the student understand integration. This site gives the fundamental rules of integration including the integration of the trigonometric...
Texas Instruments
Texas Instruments: What Is the Number "E"?
In this activity, students explore the fundamental theorem of calculus. They apply this theorem to understand the number "e" - the base of the natural logarithm. They also use integration and natural logarithmic function to solve a...