Topics from Calculus
- Graphs of simple functions, limits, continuty and differentiability. (56 concepts)
- Differentiation of the sum, difference, product and quotient of two functions (16 concepts)
- Differentiation of trigonometric, inverse trigonometric, logarithmic exponential, composite and implicit functions (16 concepts)
- Derivatives of order upto two (1 concepts)
- Rolle's and Lagrange's Mean Value theorems (5 concepts)
- Monotonic- increasing and decreasing functions (8 concepts)
- Apllications of derivatives monotonic, maxima and minima of functions of one variable, tangents and normals (34 concepts)
- Integral as an anti-derivative, fundamental integrals algebraic, trigonometric, exponential and logarithmic functions (37 concepts)
- Integration by substituion using trigonometric identities (14 concepts)
- Integral as limit of a sum, fundamental theorem of calculus (4 concepts)
- Properties of definite integrals, evaluation of definite integrals (21 concepts)
- Determining areas of the regions bounded by simple curves in standard form (9 concepts)
- Ordinary differential equations, their order and degree (8 concepts)
- Formation of differential equations (2 concepts)
- Solution of differential equations by the method of separation of variables (12 concepts)
- Solution of homogeneous and linear differential equations (26 concepts)