PRACTICAL OPINION TO DIFFERENTIAL CALCULUS
Differential Calculus is developed by Greek mathematicians and later enhanced in 17th century by Sir Isaac Newton and Gottfried Leibniz. They focused on integrals, limits, derivatives, functions and series, during this century there were too many constraints in terminology and methods by great mathematicians that they later argued about the ideas of differential calculus which is also popular in the term infinitesimal calculus but definitely the popularity and continuity of learning and methodology has been perfected by Newton that has been ideally used in the method of computation and research and brought to a new level of contemporary mathematical knowledge that has been adopted by the present civilization. There are also claims that the theory and development of integral calculus has been perfected by Leibniz however in particular there is still not a single evidence by both Leibniz and Newton who really is in charge of its development because both of them do not necessarily presented a formal printed publication of the official differential calculus and usually the function is the accumulation of all great mathematician in the early times.
Differential Calculus is a versatile tool because it measures motion and changes of almost everything including quantity, area or curve in just one computation and it can be integrated in science, physics or algebra and other mathematical course. Most architects, engineers, economist, business analyst, statistician uses it for their every task. Differential Calculus is used to measure slope of a curve that is a very useful task in computing things around us. Odd shapes can also be measured differently like slopes and curves that cannot be measured using basic mathematical computation. Think of a protractor or a letter X and visualize a graph that intercept both materials, calculus offers a unique method of formulation to compute its derivatives with concrete accuracy and value can best analyze without estimates but a concise measurement, such difficult task can be performed using functions and equation of increase and decrease etc.
Finding the area of a function like a path or driveways can compute the altitude, velocity and acceleration of a landing plane, a car or a bus or other things that moves along the path. Using differential calculus can also do a simple task like calculating the distance between two point of a pole and its arguments and derivatives. Using an optimization function you can easily measure the width, length, height of a box or a refrigerator. Imagine if you are going to build a cabinet or a table calculus can be of good use. Practically there is so much to think about its function and hopefully it will all be stressed up in a classroom study. Calculus is a function that allows you to use graphs and linear or lines to realize the changes of a certain project if you change the settings of points to measure such project. Hopefully it should not be confusing but lines and slopes computed the changing function to identify what to do next.
Try to draw a capital letter L and make it a balances lines with equal measure from its width and height then try to locate the corner between the lines then you already identify the function then try to draw a vertical in the corner point upward then you have already developed a calculus basic that can be used as a pattern to measure the corner of or project for example a house or a fence and any others that you can think of and this is the importance of calculus. There is also a deeper learning when it is used to measure circles or shadow, building or mountains and other constraint that will definitely resulted in more product development not just in engineering or construction but also in other field including industries, education and medicines etc.
Being student it does not occur to us that a slope and linear would need to meet the derivatives like saying that there should be F=x (x+y) (y+x) lxh but it is better for example that the mountain looks like a perfect cone that was measured in reverse but when it rains or landslide happen then there is a difference and it also needs to be measured again the difference of its rate, derivatives, slopes and other functions is practically easier to measure. According to one professor of Calculus by (Lee Lady) the importance of this subject is that it does not provide a solution to your problem or information about the value like if you are lost, it will not provide you a way home but come to think of it, it does provide a solution for most of our day to day problem. Differential calculus starts by computing the unknown then later satisfy human life, at least in this concept students starts to realize its importance.
References:
www.math.hawaii.edu/~lee/calculus/
http://sydney.edu.au/stuserv/documents/maths_learning_centre/differentialcalculus.pdf
http://en.wikipedia.org/wiki/Differential_calculus
http://en.wikipedia.org/wiki/History_of_calculus
http://calculus.nipissingu.ca/calc_app.html
Credit:ivythesis.typepad.com
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