Course code Mate4016

Credit points 2

Mathematics I

Total Hours in Course40

Number of hours for lectures16

Number of hours for seminars and practical classes16

Number of hours for laboratory classes8

Date of course confirmation19.10.2011

Responsible UnitDepartment of Mathematics

Course developers

author Matemātikas katedra

Anda Zeidmane

Dr. paed.

author Matemātikas katedra

Ilze Jēgere

Mg. paed.

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 and derivative of function.

Learning outcomes and their assessment

• Knowledge of elements of linear algebra, vector algebra, analytic geometry, limit of function, derivative of function.
• 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 (ability analyze and build mathematical models concerning other area), of aids and tools (ability to make use of and relate to the aids and tools of mathematics.

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. 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, 2002. 96 lpp.
2. Jēgere I., Baumanis A. Uzdevumi patstāvīgam darbam matemātikā. Matemātika I , Matemātika II. Jelgava: LLU, 2000. 51 lpp.
3. Siliņa B., Šteiners K. Rokasgrāmata matemātikā. Rīga: Zvaigzne ABC, 2006. 367 lpp.