交互式學習微積分的基本知識及其應用
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