Integral Calculus (3 op)

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.

Tenttien ja uusintatenttien ajankohdat

The exam will be held on Monday, 24th of April at 15.00-18.00.
Two resit exams, the first one on Friday 5th of May at 11.00-14.00 in Juhlasali D1-04, the second one on Thursday 11th of May at 17.00-20.00 in Juhlasali D1-04.

Arviointimenetelmät ja arvioinnin perusteet

The final grade is based on the exam and the homework. A homework package is given weekly (appr. 7 packages). One point is given for every submitted homework package in Moodle. Homework packages are not accepted by email. The maximum points for the test is appr. 43 points. The homework and the exam together give the maximum of 50 points. The grade is based on the following table

12,5 points -> grade 1
20 points -> grade 2
27,5 points -> grade 3
35 points -> grade 4
42,5 points -> grade 5

Arviointiasteikko

0-5

Opiskelumuodot ja opetusmenetelmät

Lessons, exercises, self-study, videos, exercises, homework, exam.

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.

Opiskelijan ajankäyttö ja kuormitus

A student is expected to work 27 hours / credit unit.

Sisällön jaksotus

Topics are shown in TuniMoodle.

Lisätietoja opiskelijoille

A student is expected to have a calculator and a formula book.