Course code MateB003
Credit points 2
Mathematics I
Total Hours in Course40
Number of hours for lectures8
Number of hours for seminars and practical classes14
Number of hours for laboratory classes8
Independent study hours24
Date of course confirmation12.12.2023
Responsible UnitInstitute of Mathematics and Physics
Course developer
Svetlana Atslēga
Dr. math.
Replaced course
Mate1031 [GMAT1030] Mathematics I
Course abstract
The aim of the study course is to acquire the mathematical knowledge and practical skills for applying math techniques to study different problems related to Civil Engineering science and related fields.
The study course deals with elements of linear algebra, vector algebra, analytic geometry.
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, analytic geometry. 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)
In part-time correspondence studies:
1. Matrices and determinants. Evaluation of a determinant and matrices (10 h)
2. Solutions of systems of linear equations (8 h)
3. Vector algebra: dot product of two vectors, cross product of two vectors, triple scalar product (8 h)
4. Conic sections: ellipse, hyperbola, parabola (6 h)
Requirements for awarding credit points
Assessment: Test (pass/fail).
Description of the organization and tasks of students’ independent work
The following independent works must be completed in writing form:
Independent work 1. Linear algebra
Independent work 2. Vector algebra
Independent work 3. Conic sections
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.
Compulsory reading
1. Volodko I. Augstākā matemātika. I daļa. Rīga: Zvaigzne ABC, 2007. – 294 lpp
2. Kronbergs E., Rivža P., Bože Dz. Augstākā matemātika I daļa. Rīga: Zvaigzne, 1988. – 534 lpp.
3. Kronbergs E., Rivža P., Bože Dz. Augstākā matemātika II daļa. Rīga: Zvaigzne, 1988. – 527 lpp.
Further reading
1. Šteiners K. Augstākā matemātika. I , II, III daļa. Rīga: Zvaigzne ABC, 1997. - 96 lpp.,1998. - 116 lpp., 1998. - 192 lpp.
2. Roland E. Larson. Brief calculus: an applied approach. Belmont, CA: Brooks/Cole, Cengage Learning, c2009 xxi, 569,112 lpp.
3. Kuldeep S. Engineering mathematics through applications. Basingstoke: Palgrave Macmillan, 2011. xvi, 927 lpp.
4. Uzdevumu krājums augstākajā matemātikā. / Dz.Bože, L.Biezā, B.Siliņa, A.Strence. Rīga: Zvaigzne, 2001. 332 lpp.
Notes
First-level professional higher education study program "Construction"