## DAM103 Mathematics

 Code DAM103 Name Mathematics Status Compulsory/Courses of Limited Choice Level and type Undergraduate Studies, Academic Field of study Mathematics and Statistics Faculty Academic staff Inta Volodko, Ilze Karpinska, Nataļja Budkina, Māris Buiķis, Jolanta Goldšteine, Aija Pola, Irina Eglīte, Tamāra Kabiša, Marija Iltiņa, Jeļena Mihailova Credit points 5.0 (7.5 ECTS) Parts 2 Annotation Matrices and determinants. Systems of linear equations. Scalar and vector product. Plane analytic geometry. Functions. Limits. Derivative and its applications. The definite and indefinite integrals. First-order differential equations. Second-order linear differential equations. Functions of several variables, partial derivatives.. 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. Learning outcomes and assessment After successful completion of the study course, a student is able to calculate the determinant, 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 plot graphs of elementary functions, to find the interval of definition for elementary functions, to determine whether the given function is even or odd, to determine the points of intersection with axis. - Students’ knowledge and abilities are assessed based on homework assignments, tests and final examination. Able to find derivatives of functions, to analyse the behavior of a function using 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 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. - Evaluation of students’ knowledge and skills is based on the results of homework assignments, tests and final examination. Able to solve simple first- and second-order ordinary differential equations. - 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.

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