I. Linear Algebra and Analytic Geometry
Linear algebra. Vector spaces, bases, dimension. Matrices, rank of a matrix. Determinant. Matrix inversion. Systems of linear equations, Gaussian elimination. Analytic geometry in Euclidean space. Dot product and cross product. Line and plane in 3D-Euclidean space.
II. Functions of one real variable
Definitions and basic properties, elementary functions, inverse function. Parametric and implicit functions. Limit and continuity of the function.
III. Differential calculus functions of one real variable
The derivative of function (basic rules for differentiation), parametric differentiation, higher-order derivative, applications of the derivatives, monotonic functions and extremes of function, convexity and concavity of a function
Linear algebra. Vector spaces, bases, dimension. Matrices, rank of a matrix. Determinant. Matrix inversion. Systems of linear equations, Gaussian elimination. Analytic geometry in Euclidean space. Dot product and cross product. Line and plane in 3D-Euclidean space.
II. Functions of one real variable
Definitions and basic properties, elementary functions, inverse function. Parametric and implicit functions. Limit and continuity of the function.
III. Differential calculus functions of one real variable
The derivative of function (basic rules for differentiation), parametric differentiation, higher-order derivative, applications of the derivatives, monotonic functions and extremes of function, convexity and concavity of a function