Syllabus
Antiderivative, definition, properties, existence, basic formulas, methods (by parts, substitution, partial fraction decomposition)
Definite integral, Newton and Riemann integrals, Leibniz formula, methods of calculation, applications of integral in geometry (area, length of curve, solid of revolution volume and surface)
Differential equations , linear differential equations of the first order, linear differential equations of the second order with constant coefficients, equations with separated variables
Annotation
Antiderivative, integral (Riemann, Newton), geometrical meaning, physical applications, elementary differential equations (especially linear equations).