Texas Instruments
Texas Instruments: Exploring the Fundamental Theorem of Calculus
In this Derive activity, students investigate the Fundamental Theorem of Calculus and explore examples of Riemann Sums for approximating the Definite Integral: the Midpoint Sum, the Left Hand Endpoint Sum, the Right Hand Endpoint Sum,...
Math Open Reference
Math Open Reference: Fundamental Theorem of Calculus
Learn about the fundamental theorem of calculus with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
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.
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.
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.
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.
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...
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...
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: 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...
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!
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.
Richland Community College
Richland Community College: Mathematical Information
This site, which is provided for by the Richland Community College, explains the several mathematical theorems.
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.
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.
Texas Instruments
Texas Instruments: Average Value
The definite integral is used to find the average value of a function. It will show the steps of the 2nd Fundamental Theorem and also the alternate approach of having the capabilities of the graphing calculator work the entire problem at...
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...