Because calculus is a very tough course, most students have no idea what it entails. One good thing about calculus is that if you understand algebra, then it won’t be a complicated topic. This blog post will explain everything about calculus, its importance, and how it came to existence.
Calculus is the scientific study of motion and change, while algebra studies rules of relations and operations. Geometry is the study of shapes. Mainly calculus defines derivatives, functions limits, and integrals. The limit concept lays the foundation for both derivatives and integrals.
Calculus was developed by two mathematicians Isaac newton and Goffried Leibniz, in the 17th century. Newton first came up with calculus and used it directly to understand physical systems.
Then Leibniz came up with notations that are commonly used in calculus. Basic math uses simple operations like minus, plus, division and multiplication, whereas calculus uses functions and integrals when calculating the rate of change.
Using these tools, Newton and Leibniz could find out the exact slope of the curve at any given point. Newtons’ fundamental calculus theorem is fundamental.
Unlike static geometry, calculus makes it possible for mathematicians and engineers to understand motion and dynamic change in the world we live in. For example, how planets orbit, fluids motion, etc.
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We can classify calculus into two broad sections:-
- Differential Calculus
- Integral Calculus
Differential calculus vs. Integral Calculus
Differential calculus is the study of derivatives, while Integral calculus is the study of integral. In differential calculus, you can determine the rate of change of quantity, for example, slopes and curves.
This calculus branch is more concerned about how functions change regarding their variables by using derivatives and differentials.
In integral calculus seeks to find quantity where the rate of change is unknown. This calculus branch focuses on concepts like tangent lines slopes, and velocities. While differential calculus mainly focuses on the curve, integral calculus looks into the space or area.
During the 17th and 18th-century, calculus was essential in navigating routes. It made it possible for sailors to position the moon to determine local time. Measuring both time and angles, navigators could also chart their position on the deep sea.
Using both derivative and integral calculus, sailors could determine their distance around the curve to reach a specific location.
Application of Calculus
Calculus is a common language for scientists, engineers, economists, sailors, etc. The impact that calculus has on our lives is enormous because, from cell phones, cars, satellite systems, shipping of goods, microwaves, and medicine in one way, they use calculus.
If you are a student its the high time you start taking calculus homework seriously. If you are not good at calculus, know that you can hire or pay someone to do your calculus homework and help you understand different calculus concepts and functions. You can contact Speedywriters for calculus homework consultation services.