MATA182 Vector calculus 2 (4 cr)

Open the course unit brochure on Sisu
Study level:
Intermediate studies
Grading scale:
0-5
Language:
English, Finnish
Responsible organisation:
Department of Mathematics and Statistics
Curriculum periods:
2020-2021, 2021-2022, 2022-2023

Description

Two and three dimensional integration, iterated integrals. Polar, cylindrical and spherical coordinates. Vector fields, line integrals, the fundamental theorem for line integrals, Green's theorem. Parametric surfaces and surface integrals. Stokes' theorem and the divergence theorem.

Learning outcomes

After the course the student

  • knows the basic integration techniques for functions of two and three variables
  • understands the concept of vector field and their geometric interpretation
  • can find and use parametrizations for surfaces
  • can apply the most important integration by parts formulas for vector fields

Description of prerequisites

Calculus 1-3. (or Introduction to mathematical analysis 1-3 and Calculus 3). Vector calculus 1.

Study materials

Adams: Calculus, chapters 14-16.

Literature

  • Adams, Robert A. Calculus: a complete course, 8. painos, Pearson 2013.; ISBN: 978-0-321-78107-9

Completion methods

Method 1

Evaluation criteria:
Course exam, weekly tests and exercises
Time of teaching:
Period 2
Select all marked parts

Method 2

Evaluation criteria:
Final exam
Select all marked parts
Parts of the completion methods
x

Teaching (4 cr)

Type:
Participation in teaching
Grading scale:
0-5
Evaluation criteria:
Course exam, weekly tests and exercises
Language:
Finnish
Study methods:

28 h lectures (in Finnish), 7 exercise sessions

Study materials:

Adams: Calculus, chapters 14-16.

Literature:
  • Adams, Robert A. Calculus: a complete course, 8. painos, Pearson 2013.; ISBN: 978-0-321-78107-9

Teaching

x

Exam (4 cr)

Type:
Exam
Grading scale:
0-5
Evaluation criteria:
Final exam
Language:
English, Finnish
Study methods:

Final exam

Study materials:

Adams: Calculus, chapters 14-16.

Literature:
  • Adams, Robert A. Calculus: a complete course, 8. painos, Pearson 2013.; ISBN: 978-0-321-78107-9

Teaching