Calculus

 

(A) Differential calculus

Functions of a real variable

1. Limits

2. Continuity

3. Differentiability

4. Mean value theorems

5. Maxima and minima

6. Taylors theorem with remainders

7. Inderminate forms(L-Hospital rule)

8. Higher order derivatives and Leibniz theorem

9. Asymptotes

Functions of several variables:-

1. Limits

2. Continuity

3. Parial derivatives

4. Maxima and Minima

(B) Intigral calculus

1. Area

2. Surface intigral

3. Volume integral

4. Double integral

5. Triple integral