MATEMATIKA I

Demonstrates a knowledge and understanding of: 1. Basic concepts of mathematical logic; 2. Basic concepts of set theory and operations with set; 3. Calculations with real numbers; 4. Simplifying expressions, solving problem using rations & calculation with decimal numbers; 5. Basic rules of indices (and roots), mantissa and exponent form of number, standard form of number; 6. Calculations approximate values, reciprocals, squares, roots, fractional indices, performing operations on calculator & evaluation of expression; 7. Algebraic expressions (polynomials of one variable) and their factorisation and simplification, linear equation with one variable, application of algebraic rules, quadratic equation & high order polynomial equations 8. Measurement of angles, definition of trigonometric functions, sine and cosine rule & trigonometric identities 9. Measurement of areas and volumes, centroid & centre of volume 10. Drawing of graph 11. Calculations with complex numbers, solving of complex equations, trigonometric form of complex number & De Moivre’s formula 12. Determinants and rules for calculation of determinants; 13. Matrix operation, inverse matrix and solving matrix equations