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Mathematical Analysis III

Course code

MLM6009.DT

old course code

MLM6009

Course title in Estonian

Matemaatiline analüüs III

Course title in English

Mathematical Analysis III

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 introduce the basic properties of number and functional series, multiple, line and surface integrals. To develop basic skills in solving problems and to demonstrate different types of applications.

Brief description of the course

Functional series and their properties, convergence and uniform convergence. Power series, their interval and domain of convergence. The properties of the sum of power series. The Taylor series. The Fourier series. Integrals depending on parameter. Double and triple integrals, line and surface integrals, their properties and existence, evaluation and applications. Formulae of Green, Gauss and Stokes. The elements of field theory.

Learning outcomes in the course

Upon completing the course the student:
- knows mathematical truths and is able to use methods in volume of a subject;
- is able to prove and apply them.

Teacher

dotsent M. Zeltser

Prerequisite course 1

Mathematical Analysis II (MLM6003.DT)

The course is a prerequisite

Differential Geometry (MLM7214.DT)
Fourier Analysis and Its Applications (MLM8001.DT)
Functions of Complex Variable (MLM6207.DT)
Harmonic Analysis and Approximation Theory (MLM8004.DT)
Harmonic Analysis and Approximation Theory (MLM8002.DT)
Metric Spaces (MLM6041.DT)
Numerical Methods (MLM6011.DT)
Topology (MLM6016.DT)

Study programmes containing that course