Syllabus
Differential calculus (part 2). Partial derivatives, geometric imterpretation. Total differential, use in estimating errors in calculations. Maxima and minima of functions of one and several variables.
Least squares method.
Investigating the behaviour of a function. Convexity and concavity of a curve. Points of inflection.
Integral calculus. The indefinite integral. Table of integrals. Integration of rational functions, substitution method, integration by parts. The definite integral. Basic properties of the definite integral. Improper integrals. Numerical integration.
Ordinary differential equations. First order equations: variables separable, the linear equation.
Linear second order equations: basic properties, solving equations with constatnt coefficients.
Annotation
Lectures on mathematics for geological programmes. Differential calculus (part 2).
Integral calculus: indefinite integral, definite integral, improper integral. Numerical integration.
Ordinary differential equations: first order equations, second order linear equations.