Course code Mate1026

Credit points 4.50

Mathematics I

Total Hours in Course120

Number of hours for lectures16

Number of hours for seminars and practical classes32

Number of hours for laboratory classes8

Independent study hours64

Date of course confirmation20.02.2013

Responsible UnitInstitute of Mathematics and Physics

Course developers

author

Ilze Jēgere

Mg. paed.

author Matemātikas un fizikas institūts

Anda Zeidmane

Dr. 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 linear algebra, vector algebra, analytical geometry, limit of function and derivative of function and its application

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, and matrix, 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 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 mathemats.

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. 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.