G. Max

G. Max Away
Tutor in:
Calculus
Languages:
English

Control Systems Engineer offers expert tutoring in Vector Calculus, Differential Calculus, Integral Calculus, Multivariate Calculus and Functional Analysis.

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 expert 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. Mathematical Optimization and Optimal Control Mathematical Programming, Linear (LP), Quadratic (QP), Sequential Quadratic (SQP), Nonlinear (NLP), Mixed-Integer Linear and Nonlinear Optimization (MILP, MINLP), Active-set and Interior Points methods, Branch and Bound algorithm, Karush-Kuhn-Tucker condition, calculation of Gradients, Jacobians and Hessians, Time optimal solution, Pontryagin Maximum Principle, Bang-bang Control, Optimal Control, Linear Quadratic Gaussian Control (LQG) for LTI and LTV systems, CARIMA, Optimal Estimation, Covariance Analysis, Extended (EKF) and Unscented Kalman Filter (UKF), Model Predictive Control (MPC), Minimum Variance Control (MVC), Nonlinear Receding Horizon Predictive Control (RHPC). Engineering and Robotics Differential and Difference Equation, Time Domain Analysis, Initial Value problem (IVP), Fourier, Laplace, Z-transform, Inverse Integral transforms, Harmonic Analysis, Signals and Systems, Linear and Nonlinear Circuit Analysis, System Modeling, Robotics, Multibody Dynamics, RPY, Euler angles, Quaternions, Denavit Hartenberg parameters, Lagrange, Newton, Appell equations, Inverse Kinematics, Inverse Dynamics model. Method of Equivalent Forces and Torques, Inertia, Newton-Euler equations, Motion Planning.