Mechatrοniсs

Bachelor's degree (or equivalent) in mechanical engineering.

The following knowledge is also required:

1. 30 ECPS in Mathematics, as follows:
   1. 12 ECPS in Foundations of differential and integral calculus of one and several variables: convergence of sequences and series; continuous and differentiable functions; power series and elementary functions; integration theory in one variable (proper + improper integrals, fundamental theorem, integration rules, parameter-dependent integrals); integrals over general regions; periodic functions and Fourier series; implicit functions; minimization under equality constraints.
   2. 8 ECPS in Linear Algebra: general vector spaces (subspaces, inner and cross product, Euclidean vector spaces); systems of linear equations (Gauß elimination, inverse matrices, block matrices, determinants); linear mappings (basis transformation, orthogonal matrices); orthogonal projection in R^n, Gram-SchmidtOrthonormalization; eigenvalues (diagonalizing matrices, normal matrices, symmetric and Hermitian matrices, Jordan normal form); matrix factorizations (LU, QR, Schur, SVD).
   3. 7 ECPS in Differential and partial differential equations.
   4. 3 ECPS in Complex Analysis: Complex differentiation; Cauchy’s integral formula; Laurent series, singularities, and residuals.
2. 21 ECPS in Mechanics, as follows:
   1. 6 ECPS in Statics.
   2. 3 ECPS in Strength/mechanics of materials.
   3. 12 ECPS in Kinematics, dynamics, impact problems, analytical mechanics, multibody systems, oscillations.
3. 6 ECPS in Control Theory: Control engineering (Control theory and control systems).
4. 6 ECPS in Fundamentals of Mechatronics Engineering, as follows:
   1. 3 ECPS in Fundamentals of mechatronic systems.
   2. 3 ECPS in Mechatronic system modeling and simulation.
5. 48 ECPS in Fundamentals of Mechanical Engineering, as follows:
   1. 6 ECPS in Materials science (material properties, material testing).
   2. 6 ECPS in Manufacturing processes (casting, imaging, coating, molding, forming, machining, joining).
   3. 6 ECPS in Measurement technology (metrology, instrumentation).
   4. 6 ECPS in Thermodynamics (1st and 2nd Law, equations of state, vapors, clockwise and counter-clockwise cycles, gas-steam mixtures).
   5. 6 ECPS in Computer science (automata theory, data structures, programming languages).
   6. 12 ECPS in Mechanical engineering design (design process and methods; theory, application and dimensioning of basic and advanced machine elements).
   7. 6 ECPS in Electrical engineering (direct & alternating current, electronics).