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
approximate amount of contact lessons
78
Teaching semester
spring
Assessment form
Examination
lecturer of 2019/2020  Autumn semester
õppejõud on määramata
lecturer of 2019/2020  Spring semester
lecturer not assigned
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
Knows mathematical truths and is able to use methods in volume of a subject, is able to prove and apply them.
Assessment methods
The two classroom tests and individual homework provide 50% and an examination provides the remaining 50% of the total score.
Teacher
dotsent M. Zeltser
Study literature
Reimers, E. 1988 Matemaatilise analüüsi praktikum II. Tallinn, Valgus.
Kangro, G. 1968 Matemaatiline analüüs II. Tallinn: Valgus
Replacement literature
(tähtsuse järjekorras)
Piskunov, N. 1983 või 1966 Diferentsiaal- ja integraalarvutus II. Tallinn. Valgus. (olemas ka vene k);
Tammeraid, I. 2002 Matemaatiline analüüs II. Tallinn: TTÜ;
Loone, L.; Soomer, V. 2007 või 2009 Matemaatilise analüüsi algkursus. Tartu: TÜ kirj;
Lõhmus, A.; Petersen, I.; Roos, H. 1982 Kõrgema matemaatika ülesannete kogu;
Protter, M. H.; Morrey, C. B. 1991 A First Course in Real Analysis. New York-Berlin-Heidelberg: Springer-Verlag.