Course code Mate2036

Credit points 4

Mathematics II

Total Hours in Course160

Number of hours for lectures24

Number of hours for seminars and practical classes40

Number of hours for laboratory classes8

Independent study hours88

Date of course confirmation09.06.2014

Responsible UnitDepartment of Mathematics

Course developer

author Matemātikas katedra

Svetlana Atslēga

Dr. math.

Prior knowledge

Mate1031, Mathematics I

Course abstract

Studying the course, students acquire the mathematical knowledge and skills needed for the further study of special subjects. The study course includes limit of function, derivative of function and its applications, indefinite integrals, differential equations. Students acquire skills to work with the software “Mathcad”.

Learning outcomes and their assessment

• Knowledge of derivative of function and applications, indefinite integrals, definite integrals, differential equations.
• Skills calculate the limits of the functions, use the different rules of differentiation to differentiate functions of one variables, 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, solve the differential equations.
• Competence of mathematical thinking, of handle symbols and formal mathematics language, of mathematical problem formulating and solving, of reasoning, of modelling, of aids and tools and of communication.

Compulsory reading

1. Kronbergs E., Rivža P., Bože Dz. Augstākā matemātika. I daļa. Rīga: Zvaigzne, 1988. 534 lpp.
2. E-studiju materiāli
3. Volodko I. Augstākā matemātika. II daļa. Rīga: Zvaigzne ABC, 2007. 294 lpp.
4. 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, 2011. 108 lpp.
2. Siliņa B., Šteiners K. Rokasgrāmata matemātikā. Rīga: Zvaigzne ABC, 2006. 367 lpp.