The two major concepts that calculus is based on are derivatives and integrals.The derivative of a function is the measure of the rate of change of a function. It gives an explanation of the function at a specific point. The integral is the measure of the area under the curve of the ...
What Is Calculus?Calculus is a branch of mathematics that studies continuously changing quantities. Its devel-opment is credited to (归功于) two late 17th-century mathematicians, Gottfried Leibniz andIsaac Newton. Calculus is more or less a combination of algebra and geometry. If you are fa-...
This unique book provides a new and well-motivated introduction to calculus and analysis, historically significant fundamental areas of mathematics that are widely used in many disciplines. It begins with familiar elementary high school geometry and algebra, and develops important concepts such as ...
曲线下面积的积分 114-What is Integration Finding the Area Under a Curve 08:18 积分基本定理:重新定义积分 115-The Fundamental Theorem of Calculus Redefining Integration 09:38 积分的性质和定积分的计算 116-Properties of Integrals and Evaluating Definite Integrals 09:48 计算不定积分 117-Evaluating...
There are two types of calculus: Differential calculus determines the rate of change of a quantity, while integral calculus finds the quantity where the rate of change is known. Who Invented Calculus? Calculus was developed in the latter half of the 17th century by two mathematicians, Gottfried ...
What is Calculus ? What are the types of Calculus ? 01:07 Define Average speed ? 01:08 Distinguish between Path length and Displacement. 02:11 What is the SI unit of Average speed and Average velocity ? 01:34 Write the component form of the momentum. 02:33 Define relative velocity. 02...
The following video provides an outline of all the topics you would expect to see in a typicalSingle-Variable Calculus 1class (i.e., Calculus 1, Business Calculus 1, AB Calculus, BC Calculus, or IB HL 2 Mathematics). All of the topics are covered in detail in ourOnline Calculus 1 Cour...
Both parts of calculus are based on limits! The limit of a function is the value that f(x)f(x) gets closer to as xx approaches some number. Examples Example 1 Let's look at the graph of f(x)=43x−4f(x)=43x−4, and examine points where xx is "close" to x=6x=6. We...
Applications of Calculus Calculus Calculusis a Latin word for stone, or pebble. The use of this word has seeped into mathematics from the ancient practice of using little stones to perform calculations, such as addition and multiplication. While the use of this word has, with time, disappeared...
calculus course. This episode is simply what I wished my professors had done on the first day of class. We jumped right into solving problems and never took a few minutes to step back and address why we were taking this course and what the entire branch of mathematics called calculus was ...