1. Limits | Measures the value a function approaches as its input gets indefinitely close to a given point. |
2. Derivatives | Describes the rate at which a function changes at each particular point. |
3. Integrals | Measures the area under the curve of a function over a given interval. |
4. Differential Equations | Involves equations with unknown variables and their derivatives. Used to model various systems. |
5. Power Rule | Used to compute the derivatives of power functions. |
6. Chain Rule | A technique for finding the derivative of composite functions. |
7. Product Rule | Used for finding derivative of a product of two functions. |
8. Quotient Rule | Used for finding derivative of a quotient of two functions. |
9. Implicit Differentiation | A procedure to find the derivative of a relation defined implicitly. |
10. L’Hopital’s Rule | Explains a method to evaluate limits of indeterminate forms. |
11. Fundamental Theorem Of Calculus | Relates the process of differentiation and integration. |
12. Rate Of Change | The speed at which a variable changes over a specific period of time. |
13. Mean Value Theorem | Guarantees at least one stationary point for continuous functions over a closed interval. |
14. Taylor Series | A representation of a function as an infinite sum of terms calculated from the function’s derivatives at a certain point. |
15. Substitution Method | Used to simplify difficult problems in integration by changing variables. |
16. Trig Substitution | Substituting trigonometric functions for other expressions to calculate complex integrals. |
17. Integration By Parts | Used to integrate products of two functions. |
18. Partial Derivatives | Derivatives of functions with several variables with respect to one of those variables. |
19. Multiple Integration | The integration of more than one variable. |
20. Vector Calculus | Branch of Calculus dealing with vector fields. |