Successful completion of the academic discipline program involves obtaining the following learning outcomes:

‒ be able to solve general mathematical tasks in navigational calculations;

‒ understand the basic concepts of "spherical triangle", "arc of a great circle", "orthodrome", "spherical radius", "loxodrome";

‒ understand the relation between spherical trigonometry theorems and orthodrome calculation formulas;

‒ understand the relation between the theorems of spherical trigonometry and the formulas for calculating the altitude and azimuth of a celestial body when using celestial navigation methods;

– understand the basic concepts of probability theory, random variables, numerical characteristics of random variables, distribution the rules of random variables;

– understand the classification of navigational information;

‒ perform navigational data processing and analysis;

‒ understand the causes and occurance of navigational errors and their types;

– understand the basic concepts of "navigation parameter", "navigational isoline", "gradient navigation model", "a line of position";

‒ know the principles of determining the ship’s position;

‒ be able to evaluate the accuracy of determining the ship’s position using figure errors.

The main goal of studying the discipline is to teach future navigators theoretical and practical aspects of navigation, processing of navigational information, the theory of determining and estimating the accuracy of a ship's position, mathematical methods of solving and analyzing applied navigational problems.

Section 1. Auxiliary information in mathematics;

Chapter 2. Spherical trigonometry problems in navigation;

Chapter 3. Basic concepts of probability theory;

Chapter 4. Mathematical statistics and  navigation data processing;

Chapter 5. The theory of determining the ship’s position;

Chapter 6. Assessment of the ship’s position accuracy.