Course code Mate4029

Credit points 1

Total Hours in Course40

Number of hours for lectures4

Number of hours for seminars and practical classes12

Independent study hours24

Date of course confirmation12.04.2021

Responsible UnitDepartment of Mathematics

Matemātikas katedra
## Svetlana Atslēga

Dr. math.

Mate1023, Mathematics I

Mate1024, Mathematics II

Mate2040, Mathematics III-1

The study course deals with ordinary differential equations and applications. The study course is intended to acquire the mathematical knowledge and practical skills needed to study future special subjects, as well as to acquire skills for applying math techniques to study different problems related to Civil Engineering science and related fields.

Upon successful completion of this course:

1. Students are able to manage and demonstrate knowledge and critical understanding of ordinary differential equations. Students manage the application of the acquired topics in practical examples related to the specialty of the Civil Engineering science and related fields. – **practical works**.

2. Students are able to show understanding of the corresponding concept and regularities, to perform necessary calculations and operations. – **practical works**.

3. Working in a group or doing work independently, student is able to apply the mathematical calculations corresponding to the specialty problem situation, to make a professional assessment and interpretation of the intermediate result of the calculations and the final results – **independent works**.

1. First order ordinary differential equations. Equations with separable variables (4 h)

2. Linear ordinary differential equations (3 h)

3. Second order differential equations (3 h)

4. Second order homogeneous linear equations (2 h )

5. Second order nonhomogeneous linear equations (4 h)

Assessment: Test (pass/fail).

In writing form the following independent works must be completed at times specified by the teaching staff:
**Independent work 1.** First order ordinary differential equations
**Independent work 2.** Second order ordinary differential equations

The **written test** (pass/fail) can be arranged at the time indicated by the teaching staff, if all the independent works are defended.

1. Šteiners K. Augstākā matemātika. IV daļa. Rīga: Zvaigzne ABC, 1998. 168 lpp.

2. Šteiners K. Augstākā matemātika. V daļa. Rīga: Zvaigzne ABC, 2000. 129 lpp.

3. Lewin J. An Interactive Introduction to Mathematical Analysis. Cambridge University Press.2003.- 492 P

The study course is included in the compulsory study course of Second level professional higher education study programme “Civil Engineering”.