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 2019/2020 Spring semester

õppejõud on määramata

lecturer of 2020/2021 Autumn 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

The course is a prerequisite

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.

Tammeraid, I. 2002 Matemaatiline analüüs I;

Ellis, R.; Gulick, D. 1991 Calculus.