Mathematical Analysis II
Course code
MLM6003.DT
old course code
MLM6003
Course title in Estonian
Matemaatiline analüüs II
Course title in English
Mathematical Analysis II
ECTS credits
4.0
approximate amount of contact lessons
56
Teaching semester
autumn
Assessment form
Examination
lecturer of 2019/2020  Autumn semester
õppejõud on määramata
lecturer of 2019/2020  Spring semester
lecturer not assigned
Course aims
Core subject of the bachelor level mathematics programme. Extension of Mathematical Analysis I. Knowledge of theoretical foundations, methods and practical applications of differential calculus of functions of several variables. Basics of the theory of series.
Brief description of the course
n-dimensional Euclidean space. Functions of several variables, limits and continuity. Partial derivatives, differentiability and differential of a function of several variables. The tangent plane of a surface. Taylor formula. Implicit functions. Extrema of functions: relative, absolute and conditional extrema. Number series, their properties and conditions for convergence.
Independent work
Homeworks based on lecture materials, literature and problem solving. Preparations for classroom tests and final examination.
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 examination grade is based on the total number of points gained from written tests completed during the semester and a final examination. The maximum number of points (100) is equally divided between current semester work and the final examination.
Teacher
lekt Anna Šeletski
Study literature
Reimers, E. 1988 Matemaatilise analüüsi praktikum II. Tallinn: Valgus;
Kangro, G. 1968 Matemaatiline analüüs II. Tallinn: Valgus.
Replacement literature
Kangro, G. 1968 Matemaatiline analüüs II. Tallinn: Valgus;
Protter, M. H.; Morrey, C. B. 1991 A First Course in Real Analysis. New York-Berlin-Heidelberg: Springer-Verlag;
Tali, A. 2009 Matemaatiline analüüs II (käsikiri);
Fihtengolts, G. M. 2001 Kurs diferentsialnogo i integralnogo istshislenija I (vene keeles). Moskva-Sankt Peterburg: Fizmatlit;
Fihtengolts, G. M. 2001 Kurs diferentsialnogo i integralnogo istshislenija II (vene keeles). Moskva-Sankt Peterburg: Fizmatlit.