Applied Mathematics in Engineering 2

Contents:

• Differential equations: basic concepts, first-order differential equations, differential equation with two separable variables, first-order linear differential equation, second-order differential equations, second-order linear differential equation, examples.
• Functions of several variables.
• Partial derivatives, bound extrema
• Vector analysis, scalar field, vector field, gradient, divergence, rotor.
• Probability calculus: Basics of probability calculus, definition of probability, properties of probability, conditional probability, relay experiments, perfect probability, Bayes' formula. Sequences of independent events. Random variables.
• Basics of statistics, data collection and editing, data processing. Measures, estimators, properties and methods for obtaining estimators.
• Mean values, variance.
• Some continuous and discrete distributions.
• Time series, regression analysis, correlation analysis.
• Hypothesis testing. Tests for parameters of the normal distribution. Other parametric tests. Examples.