Multiples, Factors, & Primes
Divisibility and Remainders
Ratios and Proportions
Mean, Median, & Mode
Exponents and Roots
Simplifying Algebraic Expressions
Writing Expressions & Equations
Solving Linear Equations
Solving & Factoring Quadratic Equations
Solving Systems of Equations
Relationship between Sides of an Equation
Number Lines & Inequalities
The (x,y) Coordinate Plane
Distance and Midpoints
Parallel & Perpendicular Lines
Simple 3-D Geometry
SOHCAHTOA (Trigonometric functions sine, cosine, and tangent)
Undergraduate Calculus: Functions and Models, Limits and Derivatives, Differentiation Rules, Applications of Differentiation, Integrals, Application of Integration, Differential Equations, Infinite Sequences and Series, Vectors and the Geometry of Space, Vector Functions, Partial Derivatives, Multiple Integrals, Vector Calculus (Green's Theorem, Surface Integrals, Stokes' Theorem, Divergence Theorem).
I have been teaching differential equations and systems of differential equations at Stevens Institute of Technology since 2006. I have a PhD in Engineering from The University of Toledo, and I accumulate many years of experience in theoretical and practical applications of differential equations. As an instructor I had the opportunity to work with a large body of students and I understand the difficulty that some of the students have with this subject. I can provide tutoring sessions that will cover all the material in this course. The main topics include: First-Order Differential Equations, Linear Second-Order Differential Equations, Higher-Order Linear Differential Equations, Laplace Transforms, Series Solutions of Differential Equations, Matrix Methods for Linear Systems, Partial Differential Equations. I am looking forward to helping you.
Points, Lines and Planes
Conditional Sentences, Reasoning and Proof
Parallels and Transversals
Area, Surface Area, Volume
I have over 10 years' experience working with Wolfram Mathematica computing platform. I wrote the computer program for my PhD Dissertation in Engineering entirely in Mathematica. I solved a large system of partial differential equations by symbolic computations and I implemented a numerical method involving finite difference schemes. In the past years I continued to use Mathematica for the development of models in quantitative finance, pricing of financial instruments, and preparation of graphs and analysis for publications and presentations. I am very happy to have the chance to introduce new students to Mathematica, and to help the advanced students to use all the benefits Mathematica has to offer in terms of high level numerical calculation precision, symbolic manipulation, special functions, graphics, typesetting, and extensibility. The programming language includes automation, integrated all-in-one platform, hybrid symbolic-numeric methodology, multiparadigm language (procedural, functional, rule-based, pattern-based), built-in-knowledge database, and document-based workflow. This is one of the tutoring subjects that I value most and I am very interested to hear from you!
I have undergraduate and graduate degrees in mechanical engineering (BS, MS, PhD). My expertise covers the entire undergraduate curriculum in mechanical engineering and mechanical engineering technology (Mechanics and Materials, Statics and Dynamics, Vibrations, Numerical Computations, Mechanical Design, Measurements and Instrumentation, and much more). I can provide help both at undergraduate and graduate level for regular courses and projects. Also, I tutor for the Fundamentals of Engineering exam leading towards PE (Professional Engineer).
The rates for mechanical engineering may be different than for the other subjects I tutor and it is based on your specific course level. Design projects and advanced engineering models often require more preparation than regular topics.
Please contact me with your details, and I'll do my best to give you a competitive rate.
The Tools of Algebra, Integers, Equations, Factors and Fractions, Rational Numbers, Ratio, Proportion, and Percent, Functions and Graphing, Equations and Inequalities, Statistics and Probability, Polynomials and Nonlinear Functions
Functions and Graphs, Polynomial, power, and rational functions, Exponential, Logistic, and logarithmic functions, Systems and matrices, Analytic geometry in two and three dimensions, Trigonometric functions, Analytic Trigonometry, Applications of trigonometry.
Coordinate Geometry (Linear Equation, Circle, Parabola, Hyperbola, Ellipse)
Equations (Quadratic, Radical, Exponential)
Factors and Multiples
Functions (Domain and Range, Graphing, Roots, Degree)
Logic and Proof
Number Theory (Prime, Odd, Even, Positive, Negative)
Plane Geometry (Lines, Angles, Triangles, Quadrilaterals, Polygons, Circles)
Polynomial Multiplication and Division
Probability and Statistics (Permutations, Combinations, Factorial)
Sequences and Limits
Sets (Union and Intersection)
Solid Geometry (Prisms, Rectangular Solids, Cubes, Spheres, Pyramids)
Trigonometry (Trigonometric Identities, Graphing, Polar Coordinates)
Variations (Direct and Inverse)
Circular Functions and Their Graphs
Polar Coordinates and Equations
Inverses of Trigonometric Functions
Applications of Sine and Cosine