|Status||Compulsory/Courses of Limited Choice|
|Level and type||Undergraduate Studies, Academic|
|Field of study||Mathematics and Statistics|
|Academic staff||Inta Volodko, Irīna Eglīte, Ilze Karpinska, Vera Gošteine, Sarmīte Čerņajeva, Vladislavs Kremeņeckis, Ilona Dzenīte, Valentīna Koliškina, Tamāra Kabiša, Sergejs Smirnovs, Marija Iltiņa, Aleksandrs Kovancovs, Svetlana Pavlova, Māra Birze, Kristīne Ševčenko, Līga Ramāna, Ilmārs Iltiņš, Evija Kopeika, Tabita Treilande|
|Credit points||9.0 (13.5 ECTS)|
Linear algebra: matrices, determinants, systems of linear equations. Analytical geometry: vectors, lines, surfaces. Introduction to analysis: limits, continuity. Differential calculus: derivative, differential and their applications..
Integral calculus: indefinite and definite integrals,their applications. Double and triple integrals. Ordinary differential equations. Series..
Goals and objectives
of the course in terms
of competences and skills
|To develop students' understanding of basic mathematical concepts that are necessary to be able to comprehend processes and algorithms in professional study courses. To develop students’ logical thinking and skills necessary to analyse solutions of problems when performing more complicated tasks within the framework of study courses of professional specialization.|
After successful completion of the study course, a student is able to solve systems of linear equations and to perform operations on matrices. - Evaluation of students’ knowledge and skills is based on the results of homework assignments, tests and final examination.
Able to find equation of a straight line in a plane and three-dimensional space; to find equation of a plane in three-dimensional space; to recognize second-order curves and plot them in a plane. - Students’ knowledge and abilities are assessed based on homework assignments, tests and final examination.
Able to compute simple limits; to find derivatives of functions; to analyse the behavior of a function using limits and derivatives and to plot the graph of a function. - Two tests, two homework assignments and several assignments at the final examination are used to assess students’ knowledge on these topics.
Able to find partial derivatives of a function of several variables; to find equations of a tangent plane and normal line to a surface; to determine extrema of a function of two variables. - Students’ knowledge and skills are tested based on homework assignment and an assignment at the final examination.
Able to perform operations on complex numbers in algebraic, trigonometric and exponential form. - Assignments relevant to the material studied are included in the final examination.
Able to integrate simple functions; to find the area of a plane figure, length of a curve and volume of a body of revolution using a definite integral. - Three tests, two homework assignments and assignments at the final examination are used to test students’ knowledge on the above-mentioned topics.
Able to compute simple double and triple integrals, to use them in order to find the area of a plane figure and volume of a body. - Students’ knowledge is assessed based on homework assignment, test and assignments at the final examination.
Able to solve simple first- and second-order ordinary differential equations. - Evaluation of students’ knowledge and skills is based on the results of homework assignments, tests and final examination.
Able to determine whether a series is convergent or divergent; to find the domain of convergence of functional series; ro expand a function into power series; to use series in order to compute a definite integral. - Students’ knowledge and abilities are assessed based on homework assignments, tests and final examination.
|Course prerequisites||The study course is based on the knowledge of mathematics acquired at the secondary school.|