Overview
Lecturer
Pax Dorin Wainberg-Drăghiciu
Seminar tutor
Pax Dorin Wainberg-Drăghiciu
Type of course
Compulsory
Language of instruction
English
Erasmus language
English
Domain
Electronic engineering and telecommunications
Field of study
Applied Electronics
Form of education
Full-time
Form of instruction
Class
Credit awarded by
Grade
Teaching methods
Lecture, conversation, exemplification.
Entry requirements
Linear Algebra, Mathematical Analysis
Aims
Modelling and solving some medium complexity level problems, using the mathematical and engeneering sciences knoweledges.
To be able to predict the systems behavior in other circumstances. The learning integrates theory and application using a problem-based approach. This will relieve the student of performing, by hand, many of the detailed calculations needed.
Prepares the student for future learning in relation to problem solving and decision-making; technical competence; teamwork and leadership; and reflection.
Course contents
CAP. I DIFFERENTIAL EQUATIONS
1. First order differential equations
2. Differential equations of higher order
3. Systems of linear differential equations; Systems of linear differential equations with constant coefficients
4. Partial differential equations of the first order linear; Partial differential equations of the second order - the equations of mathematical physics.
CAP. II ELEMENTS OF THE THEORY OF FIELDS
5. Scalar field; vector field
6. Divergence and rotor of a vector field; Hamilton's operator.
CAP. III FUNCTIONS OF A COMPLEX VARIABLE COMPLEX
7. Complex numbers. geometrical interpretation
8. Functions of a complex variable
9. Derivative of a complex function of a complex variable: Cauchy-Riemann conditions; analytical function
10. Advanced functions Elementary
CAP. IV PROBABILITY AND STATISTICS
11. Random variables; Field of probabilities, conditional probabilities
12. Laws classical probability
13. Functions distributions, probability density
14. Representations of statistical distributions
Learning outcomes
Modelling and solving some medium complexity level problems, using the mathematical and engeneering sciences knoweledges.
Assessment
Written paper 50%; mid-term test 30%; seminar activities 20%.
Recommended reading
• Peter V. O’Neil, Advanced Engineering Mathematics, Thomson, 2007
• Erwin Kreyszig, Advanced Engineering Mathematics, John Wiley & Sons Inc. 9th Edition, 2006.
• D. G. Zill, M.R. Cullen, Differential Equations with Boundary Problems, 6th Edition, Brooks/Cole Publishing Company, 2005.
• Lisei, H., Micula, S., Soos, A., Probability Theory trough Problems and Applications, Cluj University Press, 2006.
• Milton, J.S., Arnold, J. C., Introduction to Probability and Statistics: Principles and Applications for Engineering and the Computing Sciences, McGraw-Hill, New York, 1995.