Final Management

Question: Write a summary on Final Project. Answer: Summary of the final project: The current project is the discussion of real time application of limits, derivatives and integration principles. The report consists of real time applications, appreciation of the concept and calculation of the real time values. The project is of three parts, each part discussing the principle of each of the calculus principles, viz., limits, derivatives and integration. The Part (A) of the project is the application of the principle of limits for evaluating the velocity of a car moving on highway. Considering a car moving on high way and its movement with time and the changes in its position are considered for evaluating the velocity. Part(B) of the project is the application of derivatives in evaluating parameters of physical significance. Considering the same case of car moving on road, its rate of change of velocity is determined from the principles of derivation and the subsequent application of the derivative principles will be employed for the determination of acceleration and distance travelled. Part(C) of the project is the estimation of the volume of the metal required to prepare a casting of a given complex shape. A particular example of casting shape will be selected and the volume of the metal required for filling the shape in the mould will be calculated. All the three parts of the projects are discussed with the application of the principles of the calculus. Model calculations or real time calculations are performed applying the numerical values to the find the final outcomes. References: Kreyszig, E. (2010).Advanced engineering mathematics. John Wiley Sons. Timoshenko, S. P. Y. (1956).Engineering mechanics(No. 620.1 T55 1956).