Vector Analysis

Vector analysis is a branch of mathematics concerned with differentiation and integration of vector fields

Vector calculus, or vector analysis, is a branch of mathematics concerned with differentiation and integration of vector fields, primarily in 3-dimensional Euclidean space. The term "vector calculus" is sometimes used as a synonym for the broader subject of multivariable calculus, which includes vector calculus as well as partial differentiation and multiple integration. Vector calculus plays an important role in differential geometry and in the study of partial differential equations. It is used extensively in physics and engineering, especially in the description of electromagnetic fields, gravitational fields and fluid flow.

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.

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10.12.2018 at 09:00 - 28.2.2019 at 23:59

Messages

Tuomo Kuusi's picture

Tuomo Kuusi

Published, 28.1.2019 at 16:58

Hi,

Exercise 2.3 has been changed! It should be easier now!

Best,
Tuomo

Timetable

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

DateTimeLocation
Mon 14.1.2019
14:15 - 16:00
Tue 15.1.2019
12:15 - 14:00
Mon 21.1.2019
14:15 - 16:00
Tue 22.1.2019
12:15 - 14:00
Mon 28.1.2019
14:15 - 16:00
Tue 29.1.2019
12:15 - 14:00
Mon 4.2.2019
14:15 - 16:00
Tue 5.2.2019
12:15 - 14:00
Mon 11.2.2019
14:15 - 16:00
Tue 12.2.2019
12:15 - 14:00
Mon 18.2.2019
14:15 - 16:00
Tue 19.2.2019
12:15 - 14:00
Mon 25.2.2019
14:15 - 16:00
Tue 26.2.2019
12:15 - 14:00

Other teaching

17.01. - 28.02.2019 Thu 14.15-16.00
Tuomo Kuusi
Teaching language: English

Material

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.