Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Quiz: Techniques and Applications of the Integral
The online quiz assesses student comprehension of techniques and applications of integration. The quiz consists of true/false questions on the calculus concepts.
Other
Calculus Preview
The resource gives students a preview of topics learned in Calculus. Concepts included are graphs, speed, and integration. Graphs, tables, and an interactive applet are used to investigate the examples.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Substitution in the Indefinite Integral
Students learn how to integrate using the technique of substitution. The tutorial explores the calculus concept through notes and examples. Review exercises, a chapter summary, and chapter quiz are included.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Topic Summaries: Techniques and Applications of the Integral
The topic summary outlines techniques and applications of integration. Some topics reviewed are integration by parts, area between two curves, and improper integrals. The resource consists of definitions, notes, and examples.
Paul Dawkins
Paul's Online Notes: Calculus Iii: Multiple Integrals
The resource examines applications of partial derivatives. Topics investigated are double integrals, triple integrals, surface area, and iterated integrals. Class notes, definitions, and examples with detailed solutions are included. The...
Other
Jfm: The Definition of Riemann Definite Integral
This site introduces Riemann definite integral on the closed interval of real. If you are interested in exploring definite integrals, this site may interest you.
Wolfram Research
Wolfram Mathworld: Definite Integral
Good site explaining the definite integral. This site also gives the integration rules for Definite Integrals, along with definitions and examples.
Other
Karl's Calculus Tutor: Methods of Integration
This site provides a detailed overview of the various methods of integration. This first page covers the "gist" of the methods available, followed by much more detail on subsequent pages.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Topic Summaries: The Integral
The topic summary outlines integration. Some topics reviewed are antiderivatives, integration rules, and integrals. The resource consists of definitions, notes, and examples.
Paul Dawkins
Paul's Online Notes: Calculus Ii: Integration Techniques
The resource examines various integration techniques. Topics investigated are integration by parts, partial fractions, comparison test, and trigonometric substitutions. Class notes, definitions, and examples with detailed solutions are...
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...
University of Maryland
Evaluating Double Integrals
Comprehensive resource that explains the Double Integral.
Paul Dawkins
Paul's Online Notes: Calculus Iii: Surface Integrals
The resource examines surface integrals. Topics investigated are parametric surfaces, surface integrals, Stokes? theorem, and the divergence theorem. Class notes, definitions, and examples with detailed solutions are included. The notes...
Other
Seton Hall University: Riemann Integral
On-line tutorial explaining the Riemann Integral. Gives good diagrams, charts, and examples.
Paul Dawkins
Paul's Online Notes: Calculus I: Applications of Integrals
The tutorial investigates applications of integrals. Topics discussed are average function value, area between two curves, volumes of solids of revolution, and work. Class notes, definitions, and examples with detailed solutions are...
Paul Dawkins
Paul's Online Notes: Calculus I: Constants of Integration
The resource examines the constant of integration. Class notes, methods, and examples with detailed solutions are included. The notes are available in pdf format.
Paul Dawkins
Paul's Online Notes: Calculus Ii: Applications of Integrals
The resource examines applications of integration. Topics investigated are arc length, surface area, center of mass, hydrostatic pressure, and probability density functions. Class notes, definitions, and examples with detailed solutions...
Other
Seton Hall University: The Riemann Integral
This resouce, which is provided for by the Seton Hall University, is a detailed lesson explaining the The Riemann Integral. With definitions and examples
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Topic Summaries: Functions of Several Variables
The topic summary outlines functions of several variables. Some topics reviewed are partial derivatives, double integrals, real-valued function, and three-dimensional space. The resource consists of definitions, notes, and examples.
Analyze Math
Analyze Math: Integral Form of the Definition of Natural Logarithm Ln(x)
The applet examines the definition of the natural logarithm ln(x).
Texas Instruments
Texas Instruments: Ti 89 Riemann Sum Activities for Calculus
In this Computer Algebra System (CAS) activity students use Riemann sums to estimate the distance traveled on a trip at various speeds. They utilize the concept of Riemann sums to calculate the area under a curve. Students find limits of...
Paul Dawkins
Paul's Online Notes: Calculus Ii: Series and Sequences
The resource examines sequences and infinite series. Topics investigated are power series, convergence, comparison test, integral test, ratio test, and Taylor series. Class notes, definitions, and examples with detailed solutions are...
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...
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!