Calculus
Course code
MLM7301.DT
old course code
MLM7301
Course title in Estonian
Diferentsiaal- ja integraalarvutus
Course title in English
Calculus
ECTS credits
5.0
Assessment form
Examination
lecturer of 2023/2024 Spring semester
Not opened for teaching. Click the study programme link below to see the nominal division schedule.
lecturer of 2024/2025 Autumn semester
Not opened for teaching. Click the study programme link below to see the nominal division schedule.
Course aims
To facilitate understanding of the fundamental concepts of differential and integral calculus and interconnections thereof;
to introduce the proof methods and applications of differential and integral calculus;
to develop the skills in using the general methods of differential and integral calculus;
to facilitate the development of creative and critical thinking, problem solving, independence and collaborative skills.
to introduce the proof methods and applications of differential and integral calculus;
to develop the skills in using the general methods of differential and integral calculus;
to facilitate the development of creative and critical thinking, problem solving, independence and collaborative skills.
Brief description of the course
The concept and notations of a function. Limit, continuity, a derivative and differential of a function. Main value theorem. Monotonic function. Extremum exercises. L'Hospital's rule. Drawing a graph of a function.
The concept and properties of an integral, calculations thereof. Numerical integration. Calculation of areas and volumes using a definite integral.
Improper integrals and calculation thereof.
The concept and properties of an integral, calculations thereof. Numerical integration. Calculation of areas and volumes using a definite integral.
Improper integrals and calculation thereof.
Learning outcomes in the course
Upon completing the course the student:
The student:
is familiar with the fundamental concepts of differential and integral calculus;
is able to explain the theorems addressed within the course;
is able to solve exercises related to the topics addressed;
is able to draw parallels between the mathematical topics and those of physics and other natural sciences;
is able to present self-made speciality-related study materials using the e-portfolio.
The student:
is familiar with the fundamental concepts of differential and integral calculus;
is able to explain the theorems addressed within the course;
is able to solve exercises related to the topics addressed;
is able to draw parallels between the mathematical topics and those of physics and other natural sciences;
is able to present self-made speciality-related study materials using the e-portfolio.
Teacher
lekt Jüri Kurvits
Study programmes containing that course