INTERACTIVE CALCULUS PRO

対話的計算の基礎とその応用を学びます

Looking for an app that gives you a strong foundation in calculus? Look no further.

This app teaches you the basics of calculus from the definitions all the way to the application of differentiation and integration.

This app is not like a text book.

You will learn the concepts interactively and progress through the chapter, unlocking practice tests along the way.

You'll be asked questions, given answers and led to derivations.

Topics you get to learn:

Functions and Graphs

Rate of change - average and instantaneous

Concept of differentiation

Rules of differentiation

Product rule and quotient rule for differentiation

Chain rule of differentiation

Derivatives of frequently used functions

Derivative as the slope of tangent drawn to the graph

Increasing and decreasing functions

Maxima and minima of functions

Application of derivative in some simple definitions of physics

Concept of integration

Integration as the reverse process of differentiation

Rules of integration

Product rule for integration

Integration by substitution

Integrals of few frequently used functions

Integral as area between the graph and an axis

Definite integral

Application of integral in some simple definitions of physics

5 question-sets for practice.

You will also have to answer a number of thought-provoking questions as you progress through the chapter.

Prerequisites for this interactive course:

Basic trigonometric functions and trigonometric identities

Knowledge of the natural logarithmic function

Simple knowledge of limit of a function

Please note:

This app is not a question-solver.

This app does not list the formulas of calculus.

Tags: Differentiation, integration, calculus, basics, physics, maths, derivative, integral, tuition