Course code Mate2028
Credit points 6
Mathematics II
Total Hours in Course162
Number of hours for lectures32
Number of hours for seminars and practical classes24
Number of hours for laboratory classes8
Independent study hours98
Date of course confirmation19.10.2011
Responsible UnitInstitute of Mathematics and Physics
Course developer
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 second part of course includes indefinite integrals, definite integrals, infinite integrals and its applications, of first and second order ordinary differential equations and its solving methods, numerical series and series of function.
Learning outcomes and their assessment
• Knowledge of indefinite integrals, definite integrals, infinite integrals, of first and second order ordinary differential equations and its solving methods, numerical series and series of function.
• Skills use the different methods of integration to indefinite and definite integrals, calculate a area of plane figures, length of line arc, volume and surface area of rotation body, solve first and second order ordinary differential equations, use the series to evaluate function, integrals and differential equations,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. Volodko I. Augstākā matemātika. II daļa. Rīga: Zvaigzne ABC, 2007. 294 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 II daļa. Jelgava: LLU, 2002. 108 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.