A Little Calculus1.33

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. 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.

TOPICS:
. 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 more features, topics, and background information on each topic.

FEATURES:
. Customize each topic by changing any function, variable, and/or interval and by selecting from a variety of options.
. Save current settings for each topic under the Options menu for easy retrieval.
. 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 10 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.

Version History • New Feature: Save current settings for each topic under the Options menu. Create multiple versions of the same topic for easy retrieval at any time
• New Topics: Logistic Growth and the Derivative of an Exponential Function
• Version History in About This App
• Minor bug fixes and improvements 1.33 08/15/2022 • Updated for iOS 13, requires iOS 10
• Last update before requiring iOS 13
• New topics: Bernstein Polynomials, Cauchy’s Mean Value Theorem, and Tangent & Normal Vectors
• Minor bug fixes 1.32 06/22/2020 • Added support for iPhoneX and iOS 11
• Added support for Dynamic Type in iOS 10 and later
• Fixed a problem with 3D content displaying on older devices 1.31 12/14/2017 • Completely rewritten using Swift and Metal.
• Updated look and feel to all buttons and calculator.
• Polynomials: added option to plot a monic polynomial based on its roots.
• Disk, Washer, and Shell Methods: added option to draw a single cross-section.
• Slope of a Parametric Curve: added option to show the parametric plot of the derivative of a parametric curve.
• Slope of a Polar Curve: added option to show the polar plot of the derivative of a polar curve.
• Created App Previews for the App Store. 1.3 10/16/2017 • Fixed a bug with the cosecant function that caused the app to crash
• Fixed a bug with displaying the intersection of cylinders
• Added a requested feature: option to display graphs with a white background 1.22 01/08/2015 • Fixed bug that caused app to crash in iOS 8
• Updated 3D graphics to appear correctly in iOS 8 1.21 11/13/2014 • Now requires iOS7
• 10 New Topics: compound interest, points of intersection, the Riemann integral, geometric series, geometric spirals, the harmonic series, alternating series, family of parametric curves, family of polar curves, slope of a polar curve
• Background information and examples added to many topics. Increased font size used on iPhone for easier reading.
• Parametric curves can now be entered and stored as a single ordered pair.
• System wide settings for color schemes (black, white, translucent) and presentation options (show screen touches)
• Minor bug fixes and improvements 1.2 08/20/2014 • Added support for iOS 7
• Minor bug fixes and improvements 1.1.1 10/02/2013 • 11 new topics (including conic sections, antiderivatives, volumes by cross-sections, intersecting cylinders, quadric surfaces, least squares, double integrals, and line integrals)
• Minor bug fixes and improvements 1.1 08/16/2013 1.0 04/10/2013