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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

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

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.

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

lekt Anna Šeletski

Prerequisite course 1

Mathematical Analysis I (MLM6002.DT)

The course is a prerequisite

Differential Geometry (MLM6407.DT)
Functions of Complex Variable (MLM6207.DT)
Functions of Complex Variable (MLM6010.DT)
Functions of Complex Variable (MLM7007.DT)
Functions of a Complex Variable (MLM6312.DT)
Mathematical Analysis III (MLM6009.DT)
Seminar in Mathematical Analysis and its Applications (MLM6049.DT)
Seminar in Mathematical Analysis and its Applications I (MLM6051.DT)
Work Placement in Mathematics I (MLM6404.DT)

Study programmes containing that course