Course code Mate1031

Credit points 1

# Mathematics I

Total Hours in Course40

Number of hours for lectures8

Number of hours for seminars and practical classes8

Number of hours for laboratory classes8

Independent study hours16

Date of course confirmation12.04.2021

Responsible UnitDepartment of Mathematics

### Course developer

Matemātikas katedra

## Svetlana Atslēga

Dr. math.

### Course abstract

The study course deals with elements of linear algebra, vectors algebra. 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.

### Learning outcomes and their assessment

Upon successful completion of this course:
1. Students are able to manage and demonstrate knowledge and critical understanding of linear algebra, vectors algebra. 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.

### Course Content(Calendar)

1. The theory of matrices and determinants (6 h)
2. Solution of systems of linear equations (Cramers rule, Gaussian elimination method) (6 h)
3. Vectors and properties. Addition of vectors and vector subtraction (6 h)
4. The scalar product and the vector product of two vectors, applications. Scalar triple product or vector triple product, applications (6 h)

### Requirements for awarding credit points

Assessment: Test (pass/fail).

### Description of the organization and tasks of students’ independent work

In writing form the following independent works must be completed at times specified by the teaching staff:
Independent work 1. Elements of linear algebra
Independent work 2. Vector algebra

### Criteria for Evaluating Learning Outcomes

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

### Further reading

1. Šteiners K. Augstākā matemātika. I daļa. Rīga: Zvaigzne ABC, 1997. 96 lpp.
2. Šteiners K. Augstākā matemātika. II daļa. Rīga: Zvaigzne ABC, 1998. 116 lpp.
3. Lewin J. An Interactive Introduction to Mathematical Analysis. Cambridge University Press.2003.- 492 p

### Notes

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