1. Systems of linear equations, Gaussian elimination
2. Matrix algebra (operations with matrices, Matrix equations)
3. Vector and Euclidean spaces (Dot product and cross product, coordinate system in 3D space. Line and plane in 3D space)
4. Mutual positions and metric properties of subspaces in 3D-Euclidean space
5. Functions of one real variable (definitions and basic properties).
6. Elementary functions. Domains, properties and applications.
7. Limit of the function, continuous functions. Definition of the derivative.
8. Differential calculus functions of one real variable. Derivative (basic rules for differentiation).
9. Parametric differentiation, higher-order derivatives.
10-12. Applications of the derivatives. Tangent line, Taylor polynomial, extremes of a function. Behaviour of the graph. Monotonic functions. Convex and concave functions. Inverse functions. Computation of limits by l'Hopital rule. Asymptotes.
2. Matrix algebra (operations with matrices, Matrix equations)
3. Vector and Euclidean spaces (Dot product and cross product, coordinate system in 3D space. Line and plane in 3D space)
4. Mutual positions and metric properties of subspaces in 3D-Euclidean space
5. Functions of one real variable (definitions and basic properties).
6. Elementary functions. Domains, properties and applications.
7. Limit of the function, continuous functions. Definition of the derivative.
8. Differential calculus functions of one real variable. Derivative (basic rules for differentiation).
9. Parametric differentiation, higher-order derivatives.
10-12. Applications of the derivatives. Tangent line, Taylor polynomial, extremes of a function. Behaviour of the graph. Monotonic functions. Convex and concave functions. Inverse functions. Computation of limits by l'Hopital rule. Asymptotes.