Selected Topics from Mathematical Analysis
Course code
MLM7418.DT
old course code
Course title in Estonian
Matemaatilise analüüsi valitud peatükke
Course title in English
Selected Topics from Mathematical Analysis
ECTS credits
6.0
Assessment form
Examination
lecturer of 2024/2025 Spring semester
Not opened for teaching. Click the study programme link below to see the nominal division schedule.
lecturer of 2025/2026 Autumn semester
Not opened for teaching. Click the study programme link below to see the nominal division schedule.
Course aims
To provide students with an overview of the concepts, methods, and applications of mathematical analysis.
Brief description of the course
The course is delivered online and adapted to individual learning needs. The selection of topics in mathematical analysis (the learning trajectory) depends on the student's prior knowledge and skills.
The course covers history of calculus, concepts of single-variable and multivariable functions, limit and continuity, derivatives of single-variable functions, and partial derivatives, including directional derivatives and gradients in multivariable functions. It also includes extrema of single-variable and multivariable functions, the concept of integrals for single-variable functions, antiderivatives, multiple integrals. Additionally, the course introduces differential equations and series.
For each topic, both theoretical foundations and practical applications are explored, with an emphasis on problem-based learning. Various IT applications are used to support theoretical concepts, visualization, and modeling in the learning process.
The course covers history of calculus, concepts of single-variable and multivariable functions, limit and continuity, derivatives of single-variable functions, and partial derivatives, including directional derivatives and gradients in multivariable functions. It also includes extrema of single-variable and multivariable functions, the concept of integrals for single-variable functions, antiderivatives, multiple integrals. Additionally, the course introduces differential equations and series.
For each topic, both theoretical foundations and practical applications are explored, with an emphasis on problem-based learning. Various IT applications are used to support theoretical concepts, visualization, and modeling in the learning process.
Learning outcomes in the course
Upon completing the course the student:
- knows and understands the concepts covered in the mathematical analysis course;
- knows the historical development of mathematical analysis;
- can apply the mathematical analysis methods covered in the course to solve problems;
- uses IT tools for applying mathematical analysis methods, modeling, and visualization.
- knows and understands the concepts covered in the mathematical analysis course;
- knows the historical development of mathematical analysis;
- can apply the mathematical analysis methods covered in the course to solve problems;
- uses IT tools for applying mathematical analysis methods, modeling, and visualization.
Teacher
Anna Šeletski
Study programmes containing that course