Selected Topics in Mathematical Analysis
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Course code
MLM7409.DT
old course code
Course title in Estonian
Matemaatilise analüüsi valitud peatükke
Course title in English
Selected Topics in Mathematical Analysis
ECTS credits
5.0
Assessment form
Examination
lecturer of 2021/2022 Spring semester
Anna Šeletski (language of instruction:Estonian)
lecturer of 2022/2023 Autumn semester
lecturer not assigned
Course aims
The goal of the subject is: To offer to the students an overview of terms and notions of mathematical analysis, which are useful for those who choose to teach mathematics at the secondary school level.
Brief description of the course
Course covers selected topics of mathematical analysis. The concept of a function. Limit of a function and of a sequence, its properties and conditions for existence. Derivative of a function, its properties. Mean value theorems in differential calculus. Taylors formula. Least squares approximation. Indefinite integral and definite integral, their properties and applications. Functions of several variables, limits and continuity. Partial derivatives and differentiability of a function of several variables. The tangent plane of a surface. Extrema of functions: relative, absolute and conditional extrema. Differential equations as mathematical models. Separable variables, first-order linear equations. Applications in geometry, physics and economics.
Attending lectures is a prerequisite of the learning process.

Learning outcomes in the course
Upon completing the course the student:
- knows main notions of the subject;
- is familiar with the main methods and their applications;
- is able to solve the standard exercises.
Teacher
Anna Šeletski
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