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