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ECTS - PWSZ im. Witelona w Legnicy

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The Witelon University of Applied Sciences in Legnica - Field: Computer science<br />

<strong>ECTS</strong> Course Catalogue 2010/2011<br />

<strong>ECTS</strong> credits<br />

5<br />

1. Course title<br />

Mathematical analysis and linear algebra.<br />

2. Course contents<br />

Lecture<br />

Sequences and series of numbers, functional series. Differential calculus of functions of one and several<br />

variables. Integral calculus: definite and indefinite integral, applications of definite integrals. Introduction to<br />

differential equations and their applications. Matrices, determinants, systems of linear equations and Gauss<br />

el<strong>im</strong>ination. Elements of analytical geometry. Groups, rings of polynomials and modular arithmetic.<br />

Classes<br />

Computation methods of l<strong>im</strong>its of sequences, convergence of series. Computation methods of l<strong>im</strong>its of functions.<br />

Computations of derivatives of functions. Applications of differential calculus. Computations of definite and<br />

indefinite integrals. S<strong>im</strong>ple differential equations. Operations on matrices. Computations of determinants of<br />

matrices. Methods of solving systems of linear equations. Distances and angles in the three-d<strong>im</strong>ensional space.<br />

Operations on polynomials, zeros of polynomials.<br />

3. Prerequisites<br />

None.<br />

4. Learning outcomes<br />

Student applies the language of mathematical analysis to the description of different problems; uses the methods<br />

of rings of polynomials and modular arithmetic; formulates problems in terms of matrices and performs<br />

operations on matrices; is able to solve systems of linear equations.<br />

5. Recommended reading<br />

1. K. Selwat, Wybrane zagadnienia matematyki, Seria Wydawnicza <strong>PWSZ</strong> <strong>im</strong>. <strong>Witelona</strong> w <strong>Legnicy</strong>,<br />

Legnica, 2009.<br />

2. M. Gewert, Z. Skoczylas, Analiza matematyczna 1 i 2, Oficyna Wydawnicza GiS, Wrocław, 2008.<br />

3. T. Jurlewicz, Z. Skoczylas, Algebra liniowa 1, Oficyna Wydawnicza GiS, Wrocław, 2008.<br />

4. G.M. Fichtenholz, Rachunek różniczkowy i całkowy. Tom I, PWN, Warszawa, 2007.<br />

5. W. Krysicki, L. Włodarski, Analiza matematyczna w zadaniach, PWN, Warszawa, 2006.<br />

6. M. Gewert, Z. Skoczylas, Równania różniczkowe zwyczajne, Oficyna GiS, Wrocław, 2004.<br />

6. Type of course<br />

Obligatory.<br />

7. Teaching team<br />

Department of Basic Sciences.<br />

8. Course structure<br />

Form Number of hours<br />

Semester year<br />

Lecture 30/36 I 1<br />

Classes<br />

Laboratory<br />

Project<br />

Seminar<br />

Other<br />

30/24 I 1<br />

Total student’s<br />

150<br />

workload<br />

9. Assessment methods:<br />

Lecture - written examination, classes - credit on the basis of written tests<br />

10. Language of instruction:<br />

Polish.<br />

349

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