Calculus
Course code
MLM6022.DT
old course code
MLM6022
Course title in Estonian
Kõrgem matemaatika: diferentsiaal- ja integraalarvutus
Course title in English
Calculus
ECTS credits
5.0
approximate amount of contact lessons
56
Teaching semester
autumn
Assessment form
Examination
lecturer of 2020/2021  Autumn semester
õppejõud on määramata
lecturer of 2020/2021  Spring semester
lecturer not assigned
Course aims
To develop student’s basic skills for using the main mathematical methods. Focus subject.
Brief description of the course
Functions, limits, continuity and differentiability. Monotonic function. Maxima and minima in practice. Approximation of functions, solution of equations by iteration. Integral and integration, numerical integration. Volume of a solid and work done by force. Cash flow as an integral. Functions of more than one variable. Partial differentiation. Error propagation. Maxima and minima problems. Optimisation within constraints. Least squares method. Exponential law in nature and in economics
Independent work
Home assignments.
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 maximal number of credit points (100) is equally divided between current semester work and the final examination.
Teacher
lektor Jüri Kurvits
Replacement literature
Piskunov, N. 1965, 1966; 1981, 1983; (olemas ka vene k.) Diferentsiaal- ja integraalarvutus I, II;
Tammeraid, I. 2002 Matemaatiline analüüs I;
Ellis, R.; Gulick, D. 1991 Calculus.