Degrees
BSc., in Electrical Engineering (Control Systems)
MSc., in Electrical Engineering (Control Systems and Robotics)
MSc., in Engineering Management (Management and Finance)
PhD., in Control Systems and Robotics (in progress)
My Tutoring Service
I can provide excellent tutoring service in the following fields:
Advanced Numerical Methods and Analysis, Mathematical Optimization and Optimal Control, Operations Research, Business Management and Finance, Linear Control Theory, System Identification, Nonlinear and Robust Control, Soft Computing, MATLAB Programming, Functional Analysis, Differential Equations, Multibody Dynamics, Robotics.
Experience & Qualifications
I am currently working as a PhD researcher and I have gained significant experience in Control Systems and Robotics over the past few years. During my research I was involved in several large-scale projects i.e. formation control of unmanned marine vehicles, multibody modelling, identification and time-optimal control of ground vehicles and passenger cars. I have also been a teaching assistant for Control Systems theory and Artificial Intelligence for undergraduates and graduates and have given several lectures in these subjects over the past years.
I have knowledge in the following fields:
Calculus and Complex Analysis
Algebra, Trigonometry, Vectors, Complex numbers, Sequences, Limits, Continuity,
L’Hospital rule, Mean Value Theorem, Differentiation, Riemann Integral, Newton-Leibniz formula,
Antiderivative, Improper Integral, Function series, Taylor and MacLaurin series,
Global and Local Extrema, Multivariate function, Lagrange multiplicators,
Complex function, Complex Integral, Contour Integral, Complex Analysis, Residuum theorem, Cauchy-Riemann equation, Laurent series,
Differential Geometry, Surface and Space Curve, Tangent Plane, Torsion, Curvature, Arc Length,
Line Integral, Surface Integral, Multiple Integral, Vector fields, Curl and Divergence,
Gauss’s and Stokes’ theorem, Conservative Fields, Potential functions, Green’s formula.
Advanced Matrix Theory and Linear Algebra
Hessenberg factorization, Singular Value Decomposition (SVD), QR Factorization, Gram-Schmidt orthogonalization,
Power methods, Jacobi method, Householder transformation, LU decomposition, Matrix norms, Matrix Exponential,
Linear Matrix and Adjoint Transformation, Image, Kernel, Nullity, Bilinear and Quadratic forms, Invariant Subspace,
Determinants, Matrix Inversion, Moore-Penrose pseudoinverse,
General Eigenvalue and Eigenvector Problem, Diagonalization, Jordan canonical form,
Spectral decomposition, Projection, Cayley-Hamilton theorem, Matrix functions, Hermitian Matrix,
Matrix equations, Hypermatrices, Stochastic matrices.
Statistics
Probability Theory, Discrete and Continuous Distribution, Sampling, Random Variable, Conditional Probability, Point and Interval Estimation, Maximum likelihood (ML),
Descriptive Statistics, Expected Value, Standard Deviation, Mode, Mean, Median,
Hypothesis Testing, One and Two Sample, F, z and t tests, 1-way and 2-way ANOVA, Welch, Bartlett-test,
Non-parameteric tests, Kolmogorov-Smirnov, Mann-Whitney, Chi-square, Homogeneity,
Regression Analysis, Model Selection techniques, Multicollinearity, Heteroscedasticity,
Statistical Classification, Principal Component Analysis (PCA), Varimax Rotation, scree-plot, Cluster Analysis, k-means algorithm, Multidimensional Scaling (MDS).