A Little Calculus vs 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.

Study Calculus from A to Z in 10 chapters, all in one app! Then play the in-app Calculus Quiz game to perfect your skills. One Level builds the necessary knowledge for the next Level as you advance. - Suitable for BEGINNERS: Teach yourself Calculus from Zero to the level of a Pro using the HINTS provided. - Adequate for the PROs: Revise and consolidate your Calculus knowledge while facing off with real Pure Math challenges. - Enjoy crisp clear Math text that adjusts its Font size and adapts to both Light and Dark Mode. Featured topics: - Differentiation 1: Curve gradient, Tangents and Normals, Velocity and Acceleration - Differentiation 2: Maxima and Minima, Curve sketching, Second derivative, Small changes - Integration: Reverse differentiation, Area under a curve, Definite integrals, Solids of Revolution, Centres of gravity - Further differentiation: Chain rule, Products and Quotients, Implicit functions, Parameters, Second derivatives - Trigonometry: Radian measure, Trigonometry derivatives, Inverse trigonometry, General solutions - Further Integration 1: Function and derivative, Change of variable, Parameters, Inverse trigonometry - Exponential and Log functions: The exponential function, Deriving y = e^x, The natural logarithm, Logarithmic differentiation - Partial fractions: Linear factors, Quadratic factors, Repeated roots, Improper fractions - Further Integration 2: Integration by parts, Taking dv/dx as 1, Variable t = tan(x/2), Splitting the numerator - Differential equations: Separating variables, Integrating factor, Homogenous equations, Differential problems