Volume and Right Circular Cone
ENGINEERING MATHEMATICS 1
(DAS10203)
GROUP ASSIGNMENT
Application of Differentiation
CONTENT
No.
Items
Pages
1.
Theory
3
2.
Problems
5
3.
Fila Table
6
4.
Problem Solving
7
5.
References
10
6.
Minute Meetings
11
THEORY In Isaac Newton's day, one of the biggest problems was poor navigation at sea. Shipwrecks occurred because the ship was not where the captain thought it should be. There was not a good enough understanding of how the Earth, stars and planets moved with respect to each other. Calculus (differentiation and integration) was developed to improve this understanding. Differentiation and integration can help us solve many types of real-world problems.
1. We use the derivative to determine the maximum and minimum values of particular functions (e.g. cost, strength, amount of material used in a building, profit, loss, etc.).
2. Derivatives are met in many engineering and science problems, especially when modelling the behaviour of moving objects.
3. Calculus is also a base of economics.
4. It is used in history, for predicting the life of a stone.
5. It is used in geography, which is used to study the gases present in the atmosphere.
6. It is mainly used in daily by pilots to measure the pressure in the air.
7. Area under a Curve and area in between the two curves are found by Integration.
8. Volume of Solid of Revolution explains how to use integration to find the volume of an object with curved sides, e.g. wine barrels.
9. Electric Charges have a force between them that varies depending on the amount of charge and the distance between the charges. We use integration to calculate the work done when charges are separated.
10. Average Value of a curve can be calculated using integration.
Picture 1 : Before calculus was developed, the stars were vital for navigation. One topic about differentiation is rate of change. Rate of change is if two
(DAS10203)
GROUP ASSIGNMENT
Application of Differentiation
CONTENT
No.
Items
Pages
1.
Theory
3
2.
Problems
5
3.
Fila Table
6
4.
Problem Solving
7
5.
References
10
6.
Minute Meetings
11
THEORY In Isaac Newton's day, one of the biggest problems was poor navigation at sea. Shipwrecks occurred because the ship was not where the captain thought it should be. There was not a good enough understanding of how the Earth, stars and planets moved with respect to each other. Calculus (differentiation and integration) was developed to improve this understanding. Differentiation and integration can help us solve many types of real-world problems.
1. We use the derivative to determine the maximum and minimum values of particular functions (e.g. cost, strength, amount of material used in a building, profit, loss, etc.).
2. Derivatives are met in many engineering and science problems, especially when modelling the behaviour of moving objects.
3. Calculus is also a base of economics.
4. It is used in history, for predicting the life of a stone.
5. It is used in geography, which is used to study the gases present in the atmosphere.
6. It is mainly used in daily by pilots to measure the pressure in the air.
7. Area under a Curve and area in between the two curves are found by Integration.
8. Volume of Solid of Revolution explains how to use integration to find the volume of an object with curved sides, e.g. wine barrels.
9. Electric Charges have a force between them that varies depending on the amount of charge and the distance between the charges. We use integration to calculate the work done when charges are separated.
10. Average Value of a curve can be calculated using integration.
Picture 1 : Before calculus was developed, the stars were vital for navigation. One topic about differentiation is rate of change. Rate of change is if two