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# Why learn Calculus?

‘Calculus’ singular or ‘Calculi’ plural – is a Latin word which means ‘small pebble’ – small stones used for counting in the abacus by the Romans. It was used for the counting of infinitely small numbers. Calculus is math in motion. It’s the calculation of change used to help describe the dynamic nature of our world. It is used to calculate changes in quantities and systems. Calculus helps to analyze, find optimal solutions and predict the future. Calculus has given us incredible power over the world because of its ability to model and control systems.

It is the language spoken by Engineers, Physicists, Economists, Quantity Surveyors, inventors, and Space explorers.

Calculus is used in every branch of the physical sciences, actuarial science, computer science, statistics, engineering, economics, business, medicine, demography, and in other fields wherever a problem can be mathematically modeled and an optimal solution is desired.

#### Level - 1

1. Week 1- Basic review of functions: trig functions, inverse functions, logarithmic, and exponential functions

2. Week 2- Introduction to limits & limit laws

3. Week 3 - Test on limits/functions ; Defining the derivative

4. Week 4- Differentiation Rules

5. Week 4 - Chain rule

6. Week 5 - Implicit differentiation and Deriv. Of inverse, log, exponential functions

7. Week 6- Applications of Derivatives

8. Week 7 - Applications of derivatives & Derivatives test

9. Week 8- Approximating Areas and the Definite Integral

10. Week 9- Indefinite Integrals and Substitution

11. Week 10- Integrals of exponential, logarithmic, and trig functions

12. Week 11 - Applications of Integrals

13. Week 12 - Applications of Integrals & Integrals Test

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