MATH 121
Differential and Integral Calculus
Differentiation:
- Introduction to Differential Calculus
- Continuity and Differentiability
- Successive Differentiation
- Leibnitz's Theorem
- General theorem and Expansion
- Indeterminant Form
- Partial Differentiation
- Euler's Theorem
- Tangent and Normal
- Sub Tangent and Sub Normal
- Maxima and Minima
- Curvature
- Asymptotes
Integral Calculus:
Introduction to integral calculus, methods of integration, standard integrals, integration by the method of successive reduction and more reduction formulae, definite, integrals and its uses, summing series, Walli’s formula, improper integrals, Beta function and Gamma function, multiple integral with its application, application of integration: arc length of curves, area under a plane curve, area of the region enclosed by two curves, the volume of solid revolution.
TEXT/REFERENCE:
l. Calculus, by I-Iaward Anton, Stephen Davis.
2. Differential and Integral Calculus, Das and Mukherjce.
3. A Text Book on Integral Calculus, Mohammad, Bhattachaijee & Latif.
4. Differential and Integral Calculus by Matin Chakraborty.
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