Calculus is an indispensable branch of mathematics which is also known as ‘language of numbers’. Students pursuing Mathematics in the higher studies or have taken this subject in Graduation or post Graduation have different views regarding the role and application of calculus. Some students may find its usefulness and importance, but others consider it an academic nuisance. The reason behind this fatalistic outlook has occurred from the frustration of getting poor marks in the examination.
Solving the calculus problems demands in-depth analytical knowledge and tight grip over the formula of Calculus. It is quite natural that all the math students do not have the capability to encounter the difficulties of the critical issues of calculus. The complexity, time-consuming nature of the subject, the learners prefers to take assistance from the MyMathLab answers. This is a new innovative system and the latest addition in the academic course which guides the students in solving critical calculus problems.
Do You Know?
The origin of the word “calculus” has an interesting anecdote. The name itself suggests that it has a connection with the words like ‘calculate’ and ‘calculation’. All these mentioned words derive from a Latin root word that means “pebble”. In the ancient times, calculi were stone beads used to keep track of grain reserves and livestock. The twist resides in the fact that today; ‘calculi’ refers to the small stones that form in the kidneys, gallbladder, or other parts of the body. Isn’t it interesting?
History of Calculus
Calculus is a branch of mathematics was invented in the 17th century by British scientist Isaac Newton and German scientist Gottfried Leibnitz who developed the principles of Calculus according to the traditions of symbolic mathematics and geometry.
How does Math Lab tool Help to Learn the Two important Concepts of Calculus?
Calculus is an important mathematical discipline that is concerned with the notions of limits, functions, derivatives, integrals and many others. There are 2 different disciplines of calculus namely Differential Calculus and Integral Calculus.
Using the concept of Differential calculus, one can determine the rates of change of functions. With the help of the math lab answer, you will be introduced to this branch of calculus in detail. You will learn to find out the derivative of a function.
Integral Calculus is basically the exact reverse process of differentiation focused on the concepts of the anti-derivative. Math lab tools help the students to detect the primitive Functions. Even though these two branches are different from each other, they are interconnected by the fundamental theorem of calculus.
The Rudimentary Theorem of Calculus
Integrals are calculated with an appropriate area and then using methods from geometry to inspect the area. This method can be successfully applied for very simple integrals. The primary outcome of this segment is the fundamental theorem of calculus. The theorem incorporates a very vital formula for assessing the integrals. It also exhibits the process of how evaluating antiderivatives can ease the way of evaluating the integrals.
The theorem establishes a relationship between the integral, which may be interpreted as an area, and the antiderivative, which is inversely related to the derivative; that is, it connects the derivative and the area.
Limits are the most elementary concept of calculus. The students need to grasp the theories and the concepts. The novice learners struggle hard to land on the perfect approach to solving the problem. In this circumstance, they can operate the math lab system to get a fruitful solution.
Derivatives focus on the rate of change, direction, a function at any of its points. On the base of this concept, the pupils need to measure how rapidly the position of the object changes with the progression of times. Students require immense concentration and focus while working on this segment because this task demands accuracy. The lack of accuracy accompanies with the lack of time when it comes for solving calculus problems. Our math lab tools experts help students to solve difficult problems on derivatives depending on the correct way which they teach.
Functions are the basic objects that take the main part in calculus. Functions can be expressed in the structure of a table, an equation, a graph or words. The learners need to apply these functions as the mathematical models along with the description of the method. Owing to many years of experience, our experts can represent the function step by step with the aid of the math lab.
Integration is mainly applied to detect volume, areas and central points. In calculus, math students need to find out the area under the curve of a function. Even minor errors can ruin the calculation entirely. Math lab introduces many techniques that can effectively help the candidates to combat with the integration-related problems in Calculus.
To conclude with, the features of the MyMathLab tool have functioned in great lengths to help the students with some personalized calculus concepts learning tricks. The features have helped the learners to cope up with calculus in a customized pattern according to their convenience. Those features also provide flexibility to the instructors and the students to launch unique methods of solving calculus problems for the beginners and the novice students.