Course code Mate3021
Credit points 3.75
Mathematics II
Total Hours in Course100
Number of hours for lectures16
Number of hours for seminars and practical classes16
Number of hours for laboratory classes8
Independent study hours60
Date of course confirmation19.10.2011
Responsible UnitInstitute of Mathematics and Physics
Course developers
lect.
Liene Strupule
Mg. math.
Ilze Jēgere
Mg. 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, functions of two variables. Students acquire skills to use the software "MathCad" to calculate the integrals and function of two variables.
Learning outcomes and their assessment
• Knowledge of indefinite integrals, definite integrals, infinite integrals, functions of two variables and its application.
• 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, use integrals to solve problems in physics and mechanics, differentiate functions of two variables, compose equations of normal and tangent surface, calculate the extremum of function of two variables.
• 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. 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.