Integral CalculusLaajuus (3 ECTS)

Objective

On completion of the course students are able to integrate elementary functions. They understand the geometric interpretation of definite integral and the connection between indefinite and definite integral. They are also able to use definite integrals in simple applications.

Content

1. Definite integral
2. Indefinite integral
3. Fundamental theorem of calculus
4. Improper integral
5. Applications

Qualifications

Real Functions, Differential Calculus

Assessment criteria, satisfactory (1)

1. The student is able to integrate elementary functions.
2. The student understands the geometric interpretation of definite integral.
3. The student knows the connection between indefinite and definite integral.
4. The student is able to use definite integrals in simple applications.

Assessment criteria, good (3)

As level 1. Further, the student is familiar with the more advanced integrating methods such as the substituting method, the partial fractions and the integration by parts. The participant is active during lessons.

Assessment criteria, excellent (5)

As level 3. Further, the student understands the meaning of the Fundamental Theorem of Calculus. The participant also knows how to apply numerical calculus in solving more demanding integrals. The student does lots of homework.