Continuous Structures

Course code

MLM6406.DT

old course code

Course title in Estonian

Pidevad struktuurid

Course title in English

Continuous Structures

ECTS credits

6.0

Assessment form

Examination

lecturer of 2024/2025 Autumn semester

Not opened for teaching. Click the study programme link below to see the nominal division schedule.

lecturer of 2024/2025 Spring semester

Not opened for teaching. Click the study programme link below to see the nominal division schedule.

Course aims

To develop the skills for applying important mathematical methods from the field of calculus in solving various problems in natural sciences as well as socioeconomic fields.

To facilitate the emergence of connections between mathematical topics and real-life problems.

To facilitate the development of creative and critical thinking, problem solving, independence and collaborative skills.

To facilitate the emergence of connections between mathematical topics and real-life problems.

To facilitate the development of creative and critical thinking, problem solving, independence and collaborative skills.

Brief description of the course

Acquisition of the following topics is organized through problem based learning.

Collection and presentation of data using tables and graphs, relationships. Fitting experimental data using the method of least squares. The concept of a function.

Deciding and "prognosing" through functions in practical situations. Functions used in socioeconomic areas and natural sciences.

Limits and their proporties.

Continuity of a function.

Velocity, acceleration, and other rates of change. The derivative and the differential of a function. Application of differentiation in real-life problems.

Approximation.

Optimization problems.

Cumulative change. The concept and properties of an integral, integration techniques. Applications of integration. Average value of a function.

Exponential growth law, its differential equation.

Collection and presentation of data using tables and graphs, relationships. Fitting experimental data using the method of least squares. The concept of a function.

Deciding and "prognosing" through functions in practical situations. Functions used in socioeconomic areas and natural sciences.

Limits and their proporties.

Continuity of a function.

Velocity, acceleration, and other rates of change. The derivative and the differential of a function. Application of differentiation in real-life problems.

Approximation.

Optimization problems.

Cumulative change. The concept and properties of an integral, integration techniques. Applications of integration. Average value of a function.

Exponential growth law, its differential equation.

Learning outcomes in the course

Upon completing the course the student:

- is familiar with the fundamental concepts of calculus and is able to use corresponding methods to solve mathematical exercises;

- is able to use the mathematical methods from the field of calculus in solving practical problems including use of ICT.

- is familiar with the fundamental concepts of calculus and is able to use corresponding methods to solve mathematical exercises;

- is able to use the mathematical methods from the field of calculus in solving practical problems including use of ICT.

Teacher

lekt Jüri Kurvits, lekt Anna Šeletski

The course is a prerequisite

Study programmes containing that course

Primary School Teacher (KAKLI/16.HR)

Primary School Teacher (KAKLI/15.HR)

Mathematics, Mathematical Economics and Data Analysis (MLMB/17.DT)

Computer Science (IFIFB/16.DT)

Integrated Natural Sciences (MLLB/00.LT)

Mathematics, Mathematical Economics and Data Analysis (MLMB/16.DT)

Integrated Natural Sciences (MLLB/16.LT)

Integrated Natural Sciences (MLLB/15.LT)

Mathematics, Mathematical Economics and Data Analysis (MLMB/00.DT)

Primary School Teacher (KAKLI/15.HR)

Mathematics, Mathematical Economics and Data Analysis (MLMB/17.DT)

Computer Science (IFIFB/16.DT)

Integrated Natural Sciences (MLLB/00.LT)

Mathematics, Mathematical Economics and Data Analysis (MLMB/16.DT)

Integrated Natural Sciences (MLLB/16.LT)

Integrated Natural Sciences (MLLB/15.LT)

Mathematics, Mathematical Economics and Data Analysis (MLMB/00.DT)