Integral Calculus (3op)

Osaamistavoitteet (Opintojakso)

After completing this course student is able to understand basic terminology of integral calculus, determine integral graphically, numerically and symbolically, calculate areas using definite integral, solve basic differential equations and use differential equations for modeling physical phenomena.

Sisältö (Opintojakso)

Integral Function, Definite Integral, Graphical Integration, Numerical Integration, Symbolic Integration, Calculation of Areas and Volumes with Integral, Differential Equations and Applications.

Esitietovaatimukset (Opintojakso)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills.

Arviointikriteerit, tyydyttävä (1-2) (Opintojakso)

Student understands the basic concepts of integral calculus and is able to solve simple applications that are similar to the model problems solved during the course.

Arviointikriteerit, hyvä (3-4) (Opintojakso)

In addition, student is able to apply the methods of integral calculus in various problems and is able to explain the methods of her/his solutions.

Arviointikriteerit, kiitettävä (5) (Opintojakso)

In addition, student has an overall understanding of using integral calculus to solve various applications and the ability to present and justify the chosen methods of solution.

Aika ja paikka

Dates and times are shown in TuniMoodle.

Arviointimenetelmät ja arvioinnin perusteet

The final grade is based on the exam. To pass the exam a student has to get at least 40 % of the maximum points.

40 % -> grade 1
52,5 % -> grade 2
65 % -> grade 3
77,5 % -> grade 4
90 % -> grade 5

Arviointiasteikko

0-5

Opiskelumuodot ja opetusmenetelmät

Distance lessons, exercises, self-study, videos, homework, exam.
A student solves mandatory exercises and saves them in TuniMoodle by given dead-lines.

Oppimateriaalit

All material, theory and exercises, can be found in TuniMoodle. If necessary, a student can use math books he/she has used before and the Internet to search more information about the topics. A student can borrow books in TAMK library. The solutions for the some homework will be published in TuniMoodle after every deadline.

Sisällön jaksotus

Topics are shown in TuniMoodle.

Toteutuksen valinnaiset suoritustavat

The exam will be held on Monday, 28th of April. A student has to complete and submit at least 50 % of the exercises to be able to attend the exam.
Two re-sit exams, the first one on Wednesday, 19st of May 2021 and the second one on Wednesday, 9th of June 2021. (More information later.)