View courses by:

Faculty Subject Area Cycle (Bachelor / Master) Semester (Autumn/Spring)

Mathematics II

Field Work language Acad. cycle ECTS credits Semester Course code
Mathematics LV ENG Bachelor 4,5 Autumn MatePA99
Subject Aim

Acquire the theory and practice of integral calculus. To give an insight in development of ordinary differential equations and its systems, their role in science, classification and methods of solving.

Subject Content

The course offers basic notion of the indefinite and definite integrals: the definitions, their properties, and calculus of the indefinite and definite integral, as well as application definite integral to solving geometrical and physical problems.

The second part of course offers consideration of the following basic concept of the First – Order Differential Equations: their order, solutions, geometrical interpretation and solution methods as well as the elements of Higher – Order Differential equations.

Properties of solutions of the Second – Order Linear Homogeneous Equations and solution techniques of the Higher – Order Homogeneous and Nonhomogeneous equations with constant coefficients are discussed.

The System of Linear Equations and solution techniques of linear homogeneous systems with constant coefficients are considered.

It considers some application of Differential Equations.

Expected Results

The students will know the basic concept of indefinite and definite integral and its properties.

They will be able to calculate indefinite and definite integral and acquaint skills to some application of definite integral.

The students will acquaint the knowledges and skills to classification and solve the ordinary differential equations and the linear system of ordinary differential equations and skills to some application of differential equations.

Requirements to gain ECTS

Students have to be able to understand the concepts of indefinite and definite integral. They have to be able to apply the basic formulae and methods for determination of definite and indefinite integrals. They have to be able to understand the use of integral in physics and geometry. As to the theory of differential equations, students have to be able to classify and solve ordinary differential equations. They have to understand the concept of the integral in mathematical modelling. Active participation in seminars and fulfilment of individual tasks.


View courses by:

Faculty Subject Area Cycle (Bachelor / Master) Semester (Autumn/Spring)

Mathematics II

Field Work language Acad. cycle ECTS credits Semester Course code
Mathematics LV ENG Bachelor 4,5 Autumn MatePA99
Subject Aim

Acquire the theory and practice of integral calculus. To give an insight in development of ordinary differential equations and its systems, their role in science, classification and methods of solving.

Subject Content

The course offers basic notion of the indefinite and definite integrals: the definitions, their properties, and calculus of the indefinite and definite integral, as well as application definite integral to solving geometrical and physical problems.

The second part of course offers consideration of the following basic concept of the First – Order Differential Equations: their order, solutions, geometrical interpretation and solution methods as well as the elements of Higher – Order Differential equations.

Properties of solutions of the Second – Order Linear Homogeneous Equations and solution techniques of the Higher – Order Homogeneous and Nonhomogeneous equations with constant coefficients are discussed.

The System of Linear Equations and solution techniques of linear homogeneous systems with constant coefficients are considered.

It considers some application of Differential Equations.

Expected Results

The students will know the basic concept of indefinite and definite integral and its properties.

They will be able to calculate indefinite and definite integral and acquaint skills to some application of definite integral.

The students will acquaint the knowledges and skills to classification and solve the ordinary differential equations and the linear system of ordinary differential equations and skills to some application of differential equations.

Requirements to gain ECTS

Students have to be able to understand the concepts of indefinite and definite integral. They have to be able to apply the basic formulae and methods for determination of definite and indefinite integrals. They have to be able to understand the use of integral in physics and geometry. As to the theory of differential equations, students have to be able to classify and solve ordinary differential equations. They have to understand the concept of the integral in mathematical modelling. Active participation in seminars and fulfilment of individual tasks.


View courses by:

Faculty Subject Area Cycle (Bachelor / Master) Semester (Autumn/Spring)

Mathematics II

Field Work language Acad. cycle ECTS credits Semester Course code
Mathematics LV ENG Bachelor 4,5 Autumn MatePA99
Subject Aim

Acquire the theory and practice of integral calculus. To give an insight in development of ordinary differential equations and its systems, their role in science, classification and methods of solving.

Subject Content

The course offers basic notion of the indefinite and definite integrals: the definitions, their properties, and calculus of the indefinite and definite integral, as well as application definite integral to solving geometrical and physical problems.

The second part of course offers consideration of the following basic concept of the First – Order Differential Equations: their order, solutions, geometrical interpretation and solution methods as well as the elements of Higher – Order Differential equations.

Properties of solutions of the Second – Order Linear Homogeneous Equations and solution techniques of the Higher – Order Homogeneous and Nonhomogeneous equations with constant coefficients are discussed.

The System of Linear Equations and solution techniques of linear homogeneous systems with constant coefficients are considered.

It considers some application of Differential Equations.

Expected Results

The students will know the basic concept of indefinite and definite integral and its properties.

They will be able to calculate indefinite and definite integral and acquaint skills to some application of definite integral.

The students will acquaint the knowledges and skills to classification and solve the ordinary differential equations and the linear system of ordinary differential equations and skills to some application of differential equations.

Requirements to gain ECTS

Students have to be able to understand the concepts of indefinite and definite integral. They have to be able to apply the basic formulae and methods for determination of definite and indefinite integrals. They have to be able to understand the use of integral in physics and geometry. As to the theory of differential equations, students have to be able to classify and solve ordinary differential equations. They have to understand the concept of the integral in mathematical modelling. Active participation in seminars and fulfilment of individual tasks.


View courses by:

Faculty Subject Area Cycle (Bachelor / Master) Semester (Autumn/Spring)

Mathematics II

Field Work language Acad. cycle ECTS credits Semester Course code
Mathematics LV ENG Bachelor 4,5 Autumn MatePA99
Subject Aim

Acquire the theory and practice of integral calculus. To give an insight in development of ordinary differential equations and its systems, their role in science, classification and methods of solving.

Subject Content

The course offers basic notion of the indefinite and definite integrals: the definitions, their properties, and calculus of the indefinite and definite integral, as well as application definite integral to solving geometrical and physical problems.

The second part of course offers consideration of the following basic concept of the First – Order Differential Equations: their order, solutions, geometrical interpretation and solution methods as well as the elements of Higher – Order Differential equations.

Properties of solutions of the Second – Order Linear Homogeneous Equations and solution techniques of the Higher – Order Homogeneous and Nonhomogeneous equations with constant coefficients are discussed.

The System of Linear Equations and solution techniques of linear homogeneous systems with constant coefficients are considered.

It considers some application of Differential Equations.

Expected Results

The students will know the basic concept of indefinite and definite integral and its properties.

They will be able to calculate indefinite and definite integral and acquaint skills to some application of definite integral.

The students will acquaint the knowledges and skills to classification and solve the ordinary differential equations and the linear system of ordinary differential equations and skills to some application of differential equations.

Requirements to gain ECTS

Students have to be able to understand the concepts of indefinite and definite integral. They have to be able to apply the basic formulae and methods for determination of definite and indefinite integrals. They have to be able to understand the use of integral in physics and geometry. As to the theory of differential equations, students have to be able to classify and solve ordinary differential equations. They have to understand the concept of the integral in mathematical modelling. Active participation in seminars and fulfilment of individual tasks.


View courses by:

Faculty Subject Area Cycle (Bachelor / Master) Semester (Autumn/Spring)

Mathematics II

Field Work language Acad. cycle ECTS credits Semester Course code
Mathematics LV ENG Bachelor 4,5 Autumn MatePA99
Subject Aim

Acquire the theory and practice of integral calculus. To give an insight in development of ordinary differential equations and its systems, their role in science, classification and methods of solving.

Subject Content

The course offers basic notion of the indefinite and definite integrals: the definitions, their properties, and calculus of the indefinite and definite integral, as well as application definite integral to solving geometrical and physical problems.

The second part of course offers consideration of the following basic concept of the First – Order Differential Equations: their order, solutions, geometrical interpretation and solution methods as well as the elements of Higher – Order Differential equations.

Properties of solutions of the Second – Order Linear Homogeneous Equations and solution techniques of the Higher – Order Homogeneous and Nonhomogeneous equations with constant coefficients are discussed.

The System of Linear Equations and solution techniques of linear homogeneous systems with constant coefficients are considered.

It considers some application of Differential Equations.

Expected Results

The students will know the basic concept of indefinite and definite integral and its properties.

They will be able to calculate indefinite and definite integral and acquaint skills to some application of definite integral.

The students will acquaint the knowledges and skills to classification and solve the ordinary differential equations and the linear system of ordinary differential equations and skills to some application of differential equations.

Requirements to gain ECTS

Students have to be able to understand the concepts of indefinite and definite integral. They have to be able to apply the basic formulae and methods for determination of definite and indefinite integrals. They have to be able to understand the use of integral in physics and geometry. As to the theory of differential equations, students have to be able to classify and solve ordinary differential equations. They have to understand the concept of the integral in mathematical modelling. Active participation in seminars and fulfilment of individual tasks.