A Little Calculus

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.