Syllabus of lectures
1 Functions of one real variable (definitions and basic properties). Inverse functions.
2 Elementary functions. Parametric and implicit functions.
3 Limit of the function, continuous functions.
4 Differential calculus functions of one real variable. Derivative (basic rules for differentiation). Parametric differentiation, higher-order derivatives.
5 Applications of the derivatives, l'Hospital rule. Taylor polynomial.
6 Applications of the derivatives on the behaviour of the graph. Monotonic functions. Convex and concave functions.
7 Asymptotes. Constructing graph of a function.
8 Linear algebra. Vector spaces, bases, dimension.
9 Matrices, rank of a matrix.
10 Determinant. Matrix inversion.
11 Systems of linear equations, Gaussian elimination.
12 Analytic geometry in Euclidean space. Dot product and cross product.
13 Line and plane in 3D-Euclidean space.
14 Reserve.
Syllabus of tutorials
1 Functions of one real variable (definitions and basic properties). Inverse functions.
2 Elementary functions. Parametric and implicit functions.
3 Limit of the function, continuous functions.
4 Differential calculus functions of one real variable. Derivative (basic rules for differentiation). Parametric differentiation, higher-order derivatives.
5 Applications of the derivatives, l'Hospital rule. Taylor polynomial.
6 Applications of the derivatives on the behaviour of the graph. Monotonic functions. Convex and concave functions.
7 Asymptotes. Constructing graph of a function.
8 Linear algebra. Vector spaces, bases, dimension.
9 Matrices, rank of a matrix.
10 Determinant. Matrix inversion.
11 Systems of linear equations, Gaussian elimination.
12 Analytic geometry in Euclidean space. Dot product and cross product.
13 Line and plane in 3D-Euclidean space.
1 Functions of one real variable (definitions and basic properties). Inverse functions.
2 Elementary functions. Parametric and implicit functions.
3 Limit of the function, continuous functions.
4 Differential calculus functions of one real variable. Derivative (basic rules for differentiation). Parametric differentiation, higher-order derivatives.
5 Applications of the derivatives, l'Hospital rule. Taylor polynomial.
6 Applications of the derivatives on the behaviour of the graph. Monotonic functions. Convex and concave functions.
7 Asymptotes. Constructing graph of a function.
8 Linear algebra. Vector spaces, bases, dimension.
9 Matrices, rank of a matrix.
10 Determinant. Matrix inversion.
11 Systems of linear equations, Gaussian elimination.
12 Analytic geometry in Euclidean space. Dot product and cross product.
13 Line and plane in 3D-Euclidean space.
14 Reserve.
Syllabus of tutorials
1 Functions of one real variable (definitions and basic properties). Inverse functions.
2 Elementary functions. Parametric and implicit functions.
3 Limit of the function, continuous functions.
4 Differential calculus functions of one real variable. Derivative (basic rules for differentiation). Parametric differentiation, higher-order derivatives.
5 Applications of the derivatives, l'Hospital rule. Taylor polynomial.
6 Applications of the derivatives on the behaviour of the graph. Monotonic functions. Convex and concave functions.
7 Asymptotes. Constructing graph of a function.
8 Linear algebra. Vector spaces, bases, dimension.
9 Matrices, rank of a matrix.
10 Determinant. Matrix inversion.
11 Systems of linear equations, Gaussian elimination.
12 Analytic geometry in Euclidean space. Dot product and cross product.
13 Line and plane in 3D-Euclidean space.