Mathematics for Textile Engineering 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

Part 1: Differential Calculus
The exam will be held on Wednesday, 7th of March at 14.15-17.00 in the auditorium D1-04.
Two resit exams: the first one on Wednesday, 21st of March at 14.15-17.00 in the classroom B2-25 and the second one on Thursday, 11th of April at 14.00-17.00 in the classroom B2-25.

Part 2: Integral Calculus
The exam will be held on Tuesday, 16th of April at 11.15-14.00 in the auditorium D1-04.
Two resit exams: the first one on Wednesday, 15th of May at 17.00-20.00 in the classroom B4-18 & B4-27 and the second one on Wednesday, 5th of June at 17.00-20.00 in the classroom B4-18 & B4-27.

Arviointimenetelmät ja arvioinnin perusteet

The final grade is based on two exams and the homework. A homework package is given weekly (approximately 11 packages). One point is given for every submitted homework package in Moodle. Homework packages are not accepted by email. The maximum points for the part 1 (Differential Calculus) is 43 points and part 2 (Integral Calculus) is 28 points. The homework and the exams together give the maximum of 82 points. The grade is based on the following table

20 points -> grade 1
32,5 points -> grade 2
45 points -> grade 3
57,5 points -> grade 4
70 points -> grade 5

Arviointiasteikko

0-5

Opiskelumuodot ja opetusmenetelmät

Contact lessons, exercises, self-study, videos, homework, exam.
A student solves 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.

Opiskelijan ajankäyttö ja kuormitus

A student is expected to student 27 hours / credit unit (135 hours / 5 credit units).

Sisällön jaksotus

Topics are shown in TuniMoodle.