Week |
Subject |
Related Preparation |
1) |
Review of single-variable calculus. |
|
2) |
Functions of several variables. Partial derivatives, differentials, implicit functions, Jacobian. |
|
3) |
Vector functions. Gradient, divergence, curl and Laplacian. Directional derivative. |
|
4) |
Maxima and minima, Lagrange multipliers. |
|
5) |
Multiple integrals. Line integrals, Green's theorem. |
|
6) |
Surface integrals, the divergence theorem, Stoke's theorem. |
|
7) |
Cylindrical and spherical coordinates. |
|
8) |
Applications of vector calculus. |
|
9) |
Functions of a complex variable. Continuity and differentiation. |
|
10) |
Complex integration. Cauchy's theorem and integral formula. |
|
11) |
Taylor and Laurent series. Poles and residues. |
|
12) |
Conformal mapping and applications. |
|
13) |
Fourier series. |
|
14) |
Fourier transform. |
|
|
Program Outcomes |
Level of Contribution |
1) |
Gains an academic background and abilities for making scientific research; analysis, interpretation and application of knowledge in subjects of Mechatronics Engineering. |
5 |
2) |
Acquires an ability to select, apply and develop modern techniques and methods for mechatronics engineering applications. |
2 |
3) |
Develops new and innovative ideas, procedures and solutions in the design of mechatronics systems, components and processes. |
1 |
4) |
Gains an ability for experimental design, data accumulation, data analysis, reporting and implementation. |
1 |
5) |
Acquires abilities for individual and team-work, communication and collaboration with team members and interdisciplinary cooperation. |
1 |
6) |
Gains an ability to communicate effectively oral and written; and a knowledge of English sufficient to follow technical developments and terminology. |
1 |
7) |
Acquires recognition of the need for, and an ability to access and report knowledge, to engage in life-long learning. |
3 |
8) |
Gains an understanding of universal, social and professional ethics. |
1 |
9) |
Acquires a knowledge of business-oriented project organization and management; awareness of entrepreneurship, innovation and sustainable development |
|
10) |
Gains awareness for the impact of mechatronics engineering applications on human health, environmental, security and legal issues in a global and social context. |
|