Course code Mate1017

Credit points 3

Mathematics I

Total Hours in Course81

Number of hours for lectures16

Number of hours for seminars and practical classes16

Independent study hours49

Date of course confirmation22.05.2013

Responsible UnitInstitute of Mathematics and Physics

Course developers

author lect.

Anna Vintere

Mg. math.

author

Līga Ramāna

Dr. math.

Course abstract

Studying the course, students acquire the mathematical knowledge and skills needed for the further study of special subjects. The course includes matrix algebra, analytic geometry, limit of function, derivative of function and its applications, indefinite integrals, definite integrals and its applications.

Learning outcomes and their assessment

• Knowledge of elements of linear algebra, elements of analytic geometry, limit of function, derivative of function and applications, indefinite and definite integrals;
• Skills calculate the determinant, 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 the different methods of integration to indefinite and definite integrals, calculate a area of plane figures;
• 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. Šteiners K., Siliņa B. Augstākā matemātika. I,II,III daļa. Rīga: Zvaigzne ABC, 1997., 1998., 1998. 96,116,192 lpp.
2. Volodko I. Augstākā matemātika. I daļa. Rīga: Zvaigzne ABC, 2007. 294 lpp.
3. Brūvere S., Čerņajeva S. Mācību līdzeklis un patstāvīgā darba uzdevumi augstākās matemātikas kursa pamatu apguvei. Jelgava: LLU, 2002. 169 lpp.
4. Uzdevumu krājums augstākajā matemātikā. / Bože Dz., Biezā L., Siliņa B., Strence A. Rīga: Zvaigzne ABC, 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. Grīnglazs L., Kopitovs J. Augstākā matemātika ekonomistiem. Mācību līdzeklis. Rīga: RSEBAA, 2003. 380 lpp.
3. Siliņa B., Šteiners K. Rokasgrāmata matemātikā. Rīga: Zvaigzne ABC, 2006. 367 lpp.