Course code Mate2039

Credit points 2

Mathematics II

Total Hours in Course80

Number of hours for lectures16

Number of hours for seminars and practical classes16

Independent study hours48

Date of course confirmation06.09.2017

Responsible UnitDepartment of Mathematics

Course developer

author lect.

Liene Strupule

Mg. math.

Prior knowledge

Mate1036, Mathematics I

Course abstract

Studying the course, students acquire the mathematical knowledge and skills needed for the further study of special subjects The second part of course includes derivative applications, indefinite integrals, definite integrals, infinite integrals and its applications, first and second ordinary differential equations.

Learning outcomes and their assessment

• knowledge of derivative of function and applications, indefinite integrals, definite integrals, infinite integrals, types of first and second order ordinary differential equations.
• skills of function integration, with define integrals calculate a area of plane figures and surface area of rotation body, calculate the extremum of function of one variables, solve ordinary differential equations.
• competences of mathematical thinking, of handle symbols and formal mathematics language, of mathematical problem formulating and solving, of reasoning, of modelling (ability analyze and build mathematical models), of tools and of communication (ability to communicate in, with and about mathematics).

Compulsory reading

1. Kronbergs E., Rivža P., Bože Dz. Augstākā matemātika II daļa. Rīga:Zvaigzne, 1988-527 lpp.
2. Siliņa B., Šteiners K. Rokasgrāmata matemātikā. Rīga:Zvaigzne ABC, 2006.-367 lpp.
3. Šteiners K., Siliņa B. Augstākā matemātika. III daļa. Rīga:Zvaigzne ABC, 1998., - 192 lpp.

4. Šteiners K., Siliņa B. Augstākā matemātika. IV daļa. Rīga:Zvaigzne ABC, 1999., - 168lpp.

Further reading

1. Uzdevumu krājums augstākajā matemātikā. Dz. Bože, L.Biezā, B.Siliņa, A.Strence. Rīga:Zvaigzne, 2001. 332lpp
2. Volodko I. Augstākā matemātika. I daļa, Rīga:Zvaigzne ABC, 2007. 294lpp.
3. Volodko I. Augstākā matemātika. II daļa, Rīga:Zvaigzne ABC, 2007. 294lpp.
4. Brūvere S., Rukmane V. Mācību līdzeklis augstākajā matemātikā LLU inženierzinātņu specialitāšu studijām II daļa. Jelgava:LLU, 2002. 108 lpp.

5. Jēgere I., Baumanis A. Uzdevumi patstāvīgam darbam matemātikā. Matemātika I, Matemātika II. Jelgava:LLU, 2000, 51 lpp.