A LITTLE CALCULUS is a collection of more than 70 interactive topics from a first year calculus course. To be used by both teachers and students, this app is designed to aid in the teaching and learning of calculus and should serve as a nice supplement to any introductory calculus textbook. While this app cannot be used to obtain solutions to calculus problems, it can be used to numerically and/or graphically verify computations for a wide variety of problems. Ultimately, the purpose of this app is to interact with and to gain a conceptual understanding of the fundamental topics of calculus.
Graph functions of one variable, as well as parametric and polar curves.
Investigate precalculus topics such as the equation of a line, graphing polynomials, Pythagorean Theorem, trigonometric functions, etc.
Understand the fundamental notion of a limit from a formal or informal point of view.
Study rates of change using the ideas from differential calculus (e.g., secant and tangent lines, derivatives, Mean Value Theorem, Newton's method, etc.)
Calculate the area of a region or surface, length of a curve, and volume of a solid using the techniques of integral calculus.
Interact with parametric and polar curves (e.g., slopes, areas, arc lengths, etc.)
Learn about sequences and series (geometric, harmonic, alternating, etc.) and approximate functions using Taylor polynomials.
Future releases to include many more features, topics, and background information on each topic.
Customize each topic by changing any function, variable, and/or interval and by selecting from a variety of options.
Interact with every graph (drag to change the value of a variable or to move/rotate the graph, pinch to zoom, etc.)
Universal App (requires iOS 7.0 or later running on iPad, iPhone, or iPod Touch.)
Fully functional, built-in calculator.
No internet required, except for initial download and updates.
No in-app purchases or advertising.
Requires iOS 7.0 or later. Compatible with iPhone, iPad, and iPod touch.
» version 1.22 - posted on 2013-04-10