Mathematics 2 (5 op)

Osaamistavoitteet (Opintojakso)

Student is able to:
- understand the concept of a function and recognizes the characteristic properties of different basic functions
- solve equations and recognize graphs involving basic functions and apply them in practical problems
- apply the concepts of derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method
- understand basic terminology of integral calculus
- determine integral graphically, numerically and symbolically
- calculate areas using definite integral

Sisältö (Opintojakso)

- Basic functions, terminology, graphs and equations (Polynomial, exponential, logarithmic)
- Derivative
- Graphical, numerical and symbolic differentiation
- Applications of derivative
- Error estimation with differential
- Integral function
- Definite integral
- Graphical, numerical and symbolic integration
- Calculation of areas and volumes with integral

Arviointikriteerit, tyydyttävä (1-2) (Opintojakso)

Understanding of basic concepts related to course topics. Capability to calculate exercises that are similar to discussed examples. Can interpret derivative as rate of change. Can determine derivatives and integrals using graphical and symbolical methods. Can calculate basic areas and volumes with integrals.

Arviointikriteerit, hyvä (3-4) (Opintojakso)

In addition, understanding of advanced and most concepts related to course topics. Ability to apply them in basic technical problems.

Arviointikriteerit, kiitettävä (5) (Opintojakso)

In addition, ability to apply course topics in advanced problems.

Aika ja paikka

Dates and times are shown in TuniMoodle.

Tenttien ja uusintatenttien ajankohdat

There are two exams (part 1, Differential Calculus and part 2, Integral Calculus). The first exam will be held 17th of March and the second one 28th of April. A student has to complete and submit at least 50 % of the exercises to be able to attend the exams.

Two re-sit exams for the both parts:
part 1: 21th of April 2021 and 19th of May 2021
part 2: 19th of May 2021 and 9th of June 2021

Arviointimenetelmät ja arvioinnin perusteet

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

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

Arviointiasteikko

0-5

Opiskelumuodot ja opetusmenetelmät

Lessons, exercises, self-study, videos, exercises, 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 a local library. The solutions for the some homework will be published in TuniMoodle after every deadline.

Sisällön jaksotus

Topics are shown in TuniMoodle.