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Mathematical Analysis II

Course code

MLM6502.DT

old course code

Course title in Estonian

Matemaatiline analüüs II

Course title in English

Mathematical Analysis II

ECTS credits

4.0

Assessment form

Examination

lecturer of 2023/2024 Spring semester

Gert Tamberg (language of instruction:Estonian)

lecturer of 2024/2025 Autumn semester

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

Course aims

Core subject of the bachelor level mathematics programme. The idea of the course is to deepen students knowledge of integral calculus functions of one (real) variable. The main attention is focused on theoretical foundations and classical methods of mathematical analysis.

Brief description of the course

Indefinite integral, its properties, technique of integration. Definite integral, its properties, geometric interpretation and conditions for existence. Definite integral as a function of its upper limit. Newton-Leibniz formula. Trapezoidal rule. Simpson's rule.
Attending lectures is a prerequisite of the learning process.

Learning outcomes in the course

Upon completing the course the student:
- knows main notions of integral calculus;
- is familiar with the main properties, relations and theorems of this course;
- is familiar with some proof methods and is able to use them for some theorems of this course;
- is able to use and apply methods taught in a subject in order to solve exercises..

Teacher

Anna Šeletski

The course is a prerequisite

Cosmology (MLF6109.LT)
Differential Equations (MLM6004.DT)
Mathematical Analysis IV (MLM6504.DT)
Methods of Mathematical Physics (MLF6103.LT)
Methods of Mathematical Physics (MLF6102.LT)
Numerical Methods (MLM6246.DT)

Study programmes containing that course