Articles
- Higher-order derivatives and differentials.
- Sequence. Boundedness and monotonicity of a sequence. Limit of a sequence.
- The limit of a function, computing limits.
- The derivative of an inverse function.
- Approximate calculations using differentials
- The geometric interpretation of the derivative.
- The differential of a function. First-order differentials.
- The derivative of a function. Calculating first-order derivatives.
- Calculation of higher-order derivatives.
- Calculation of higher-order differentials.
- L'Hôpital's Rule.
- Taylor's Formula.
- Function analysis using derivatives.
- Antiderivative and indefinite integral
- Integration using variable substitution
- Integration by parts method.
- Integration of rational functions.
- Integration of irrational functions
- Integration of trigonometric functions.
- Evaluation of definite integrals.
- Geometrical Application of Definite Integral and Application of Riemann Integral in Mechanics and Physics.
- Numerical series.
- Multiple and iterated limits of functions of several variables.
- Partial derivatives, differential, directional derivative, gradient.
- Tangent plane and normal to an explicitly defined surface.
- Differentiation of complex and implicitly defined functions.
- Substitution of variables in differential expressions.
- Investigation of functions for local extrema.
- Investigation of functions for constrained extrema.
- Computing double integrals
- Plotting graphs of functions defined explicitly in the Cartesian coordinate system.