Course code Mate2019

Credit points 3.50

Mathematics I

Total Hours in Course140

Number of hours for lectures24

Number of hours for seminars and practical classes24

Number of hours for laboratory classes8

Independent study hours84

Date of course confirmation19.10.2011

Responsible UnitDepartment of Mathematics

Course developers

author Matemātikas katedra

Liene Strupule

Mg. math.

author Matemātikas katedra

Ilze Jēgere

Mg. paed.

Replaced course

Mate1001 [GMAT1001] Mathematics I

Course abstract

Studying the course, students acquire the mathematical knowledge and skills needed for the further study of special subjects The first part of course includes matrix algebra, vector algebra, analytical geometry, limit of function, derivative of function and its applications. Students acquire skills to work with the software "MathCad".

Learning outcomes and their assessment

• Knowledge of elements of linear algebra, vector algebra, analytic geometry, limit of function, derivative of function and applications.
• Skills calculate the determinant, find the solution of a system of linear equations, solve problems using vectors, recognise and use the standard equation of a straight line, recognize and interpret the equations of an ellipse, hyperbola, parabola, circle, calculate the limits of the functions, use the different rules of differentiation to differentiate functions of one variables, use the derived function to solve different problems use an appropriate software “MathCad” to evaluate stated above problems;
• Competence: of mathematical thinking, of handle symbols and formal mathematics language, of mathematical problem formulating and solving, of reasoning, of modeling, of aids and tools and of communication.

Compulsory reading

1. Volodko I. Augstākā matemātika. I daļa. Rīga: Zvaigzne ABC, 2007. 294 lpp.
2. Uzdevumu krājums augstākajā matemātikā./ Dz.Bože, L.Biezā, B.Siliņa, A.Strence. Rīga: Zvaigzne, 2001. 332 lpp.

Further reading

1. Brūvere S., Rukmane V. Mācību līdzeklis augstākajā matemātikā LLU inženierzinātņu specialitāšu studijām I daļa. Jelgava: LLU, 2008 2002. 96 lpp.
2. Jēgere I., Baumanis A. Patstāvīgā darba uzdevumi Uzdevumi patstāvīgam darbam matemātikā. Matemātika I, Matemātika II. Jelgava: LLU, 2003 2000. 51 lpp.
3. Siliņa B., Šteiners K. Rokasgrāmata matemātikā. Rīga: Zvaigzne ABC, 2006. 367 lpp.