Integral Calculus

Primitive function - definition, properties, existence. Newton and Riemann integrals. Leibniz formula. Methods of calculation. Applications of integral in geometry.

Differential equations

Linear differential equations of the first order. Linear differential equations of the second order with constant coefficients. Equations with separated variables.

Primitive function. Newton and Riemann integral. Methods of integration (by parts, substitution, decomposition into partial fractions). Improper integrals. Applications in geometry.

Differential equations (DE). Linear DE of the 1st order, linear DE of the 2nd order with constant coefficients. DE with separated variables.