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 Moodle.

Tenttien ja uusintatenttien ajankohdat

There are two partial exams (part 1, Differential Calculus, and part 2, Integral Calculus). The first partial exam will be held on xxth of March and the second one on xxth of April.

Two re-attempt exams for the both parts:
part 1: TBA1, TBA2
part 2: TBA1, TBA2

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 partial exam.

40 % -> grade 1
52.5 % -> grade 2
65 % -> grade 3
77.5 % -> grade 4
90 % -> grade 5

In addition, bonus points will be given from submitted homework based on the completion percentage:
Less than 30% done: no bonus points.
30%-50%: 1 bonus point.
50%-70%: 2 bonus points.
70%-90%: 3 bonus points.
Over 90% done: 4 bonus points.
The bonus points are only applied on the first attempts of both partial exam 1 and 2 (i.e. not on retry attempts), and the 40% to pass the partial exams must be reached without the bonus points.

Arviointiasteikko

0-5

Opiskelumuodot ja opetusmenetelmät

Lessons, exercises, self-study, videos, exercises, homework, exam.
A student solves exercises and saves them in TUNI Moodle by given deadlines.

Oppimateriaalit

All material, theory and exercises, can be found in the Moodle page. 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.

Opiskelijan ajankäyttö ja kuormitus

The course duties take approximately 135 hours and consist of
* online lectures held by the teacher (40-50 hours)
* independent working without the teacher (homework, studying the material)
* exam

Sisällön jaksotus

Topics are shown in Moodle.

Toteutuksen valinnaiset suoritustavat

N/A