Course code Mate4028
Credit points 5.25
Mathematics III
Total Hours in Course140
Number of hours for lectures24
Number of hours for seminars and practical classes24
Number of hours for laboratory classes8
Independent study hours84
Date of course confirmation19.10.2011
Responsible UnitInstitute of Mathematics and Physics
Course developers
Svetlana Atslēga
Dr. math.
Ilze Jēgere
Mg. paed.
Liene Strupule
Mg. math.
Replaced courses
Mate4001 [GMAT4001] Mathematics III
Mate4025 [GMAT4025] Mathematics III
Course abstract
Studying the course, students acquire the mathematical knowledge of complex number, first and second order ordinary differential equations, numerical series and series of function, double integral and triple integral. Studying the course, students acquire skills to solve different problems analytic and using software "MathCad".
Learning outcomes and their assessment
• knowledge of complex number, types of first and second order ordinary differential equations and its solving methods, numerical series and series of function, double integral and triple integral and its applications;
• skills add, subtract, multiply and divide the complex numbers in different forms, solve first and second order ordinary differential equations, use the Maclaurin and Taylor series to evaluate function, integrals and differential equations, calculate double integrals and triple integrals, use integrals to calculate area of plane figures, volume, the center of gravity;
• 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. Volodko I. Augstākā matemātika. II daļa. Rīga: Zvaigzne ABC, 2007. 294 lpp.
2. Uzdevumu krājums augstākajā matemātikā. Dz.Bože, L.Biezā, B.Siliņa, A.Strence. Rīga: Zvaigzne, 1996. 328 lpp.
Further reading
1. Brūvere S., Rukmane V. Mācību līdzeklis augstākajā matemātikā LLU inženierzinātņu specialitāšu studijām II daļa. Jelgava: LLU, 2011 2002. 108 lpp.
2. Jēgere I. Patstāvīgā darba uzdevumi Uzdevumi patstāvīgam darbam matemātikā. Matemātika III. Jelgava: LLU, 2006 2000. 60 lpp.
3. Siliņa B., Šteiners K. Rokasgrāmata matemātikā. Rīga: Zvaigzne ABC, 2006. 367 lpp.