Mathematical Analysis III
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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
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