1. Linear algebra - basic matrix operations, second- and third-order determinants.
2. Matrix inversion, specific matrix equations.
3. Systems of linear equations, Gaussian elimination.
4. Function of a single real variable - domain, elementary functions.
5. Graph of a function, inverse functions.
6. Limits of functions.
7. Derivative of a function, geometrical meaning.
8. Higher order derivatives, monotonic functions, local and global extremes of a function.
9. Convex and concave functions, points of inflexion.
10. Function of two real variables - domain, graph, level curves, homogenous functions.
11. Partial derivatives, tangent plane, local extremes, constrained extremes (substitution technique).
12. Integral calculus - basic rules and formulas for indefinite integrals, method of substitution.
13. Areas of regions bounded by continuous curves.
2. Matrix inversion, specific matrix equations.
3. Systems of linear equations, Gaussian elimination.
4. Function of a single real variable - domain, elementary functions.
5. Graph of a function, inverse functions.
6. Limits of functions.
7. Derivative of a function, geometrical meaning.
8. Higher order derivatives, monotonic functions, local and global extremes of a function.
9. Convex and concave functions, points of inflexion.
10. Function of two real variables - domain, graph, level curves, homogenous functions.
11. Partial derivatives, tangent plane, local extremes, constrained extremes (substitution technique).
12. Integral calculus - basic rules and formulas for indefinite integrals, method of substitution.
13. Areas of regions bounded by continuous curves.