Kaisa_2012_3_photo by Veikko Somerpuro

### Timetable

Here is the course’s teaching schedule. Check the description for possible other schedules.

DateTimeLocation
Mon 10.9.2018
14:15 - 16:00
Mon 17.9.2018
14:15 - 16:00
Mon 24.9.2018
14:15 - 16:00
Mon 1.10.2018
14:15 - 16:00
Mon 8.10.2018
14:15 - 16:00
Mon 15.10.2018
14:15 - 16:00

### Other teaching

10.09. - 15.10.2018 Mon 14.15-16.00
Ritva Hurri-Syrjänen
Teaching language: Finnish
11.09. - 16.10.2018 Tue 10.15-12.00
Ritva Hurri-Syrjänen
Teaching language: Finnish
12.09. - 17.10.2018 Wed 14.15-16.00
Ritva Hurri-Syrjänen
Teaching language: Finnish
13.09. - 18.10.2018 Thu 12.15-14.00
Ritva Hurri-Syrjänen
Teaching language: Finnish
14.09. - 19.10.2018 Fri 10.15-12.00
Ritva Hurri-Syrjänen
Teaching language: Finnish
14.09. - 19.10.2018 Fri 10.15-12.00
Ritva Hurri-Syrjänen
Teaching language: Finnish

### Description

Compulsory

Derivatives and integrals of one variable, basic linear algebra

The student is able to master the basic concepts of the differential and integral calculus of several variables. After completing the course the student is able to apply the theory to solve simple extreme value problems, and is be able to compute simple surface areas and volumes.

- See the competence map ( https://flamma.helsinki.fi/content/res/pri/HY348496).

Second year

I period, and in English in III period, 2019.

The core content of the course is the differeantal calculus of several variables, and the determination of multiple dimensional integrals in Euclidean space. The terms used are applied, for example. to solve extreme value problem. During the course, the gradient, together with its geometric meaning, is introduced. Moreover, solving contrained extremal problems via Lagrange multipliers is discussed, and basics of integration in multi-dimensional space and on surfaces are introduced.

Lecture notes. In Finnish Vektorianalyysi (Limes ry) by Martio, Olli.

See the competence map (https://flamma.helsinki.fi/content/res/pri/HY348496)

Lectures and solving exercises is essential.

Final exam, points from exercises, and quizzes in the beginning of classes,

Weekly lectures and exercise class.