We provide tutoring at all levels: middle school, high school, undergraduate, and graduate student levels. We also provide tutoring for engineers, scientists, and other professionals who want to improve their mathematics skills. We also help students prepare for the AP Calculus and AP Precalculus exams. We use the standard textbooks. Examples of teaching can be found on the main instructor’s webpage and YouTube page.
We will first assess your knowledge, and then we will work with you to create a personalized tutoring and educational plan such that you can achieve your goals and obtain long-lasting knowledge.
We teach the following mathematics subjects:
- Basic and advanced calculus: fractions, linear equations, functions, algebraic equations, quadratic equations, inequalities, absolute values, trigonometry, complex numbers, derivatives, integrals, complex analysis, nonlinear analysis, multivariable calculus, vector calculus (cross product, dot product, mixed product), matrices, matrix algebra, arithmetic and geometric series, etc.
- Differential equations: linear and nonlinear differential equations, series expansion, Taylor and Maclaurin series, characteristic polynomials, physical interpretation of differential equations.
- Linear algebra: Gauss elimination, matrices, vectors, eigenvalues, eigenvectors, matrix decompositions (QR, SVD, Gramm-Schmidt), matrix exponential, matrix series, matrix inverses, matrix pseudo-inverses
- Optimization: linear and nonlinear optimization, convex optimization, non-convex optimization, linear programming, mixed-integer programming, application of optimization to engineering, physics, and economy: model predictive control, staff scheduling, network optimization, etc.
- Statistics and time series: random variables, random processes, statistical inference, etc.
- Nonlinear dynamical systems and chaos
- Advanced Placement (AP) Calculus and Precalculus: limits, derivatives, integrals, and everything you will need to master the AP Calculus exam.