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Rafael P.
Private tutor in Houston, TX
Education
Education: University Tools: Mathematics Mathematical analysis. Calculus Differential and Integral. Differential equations. Linear Algebra Abstract algebra Theory of Groups, Rings and Ideals. Other scientific knowledge: Computers Delphi, Power Point, Excel, Word, Access Windows Experience using machines of copying and scanner Experience in installing programs in the computers Language: Perfect Spanish improving English Competition: More than twenty years of experience explaining mathematics’ diverse branches Familiarity in the computer use Experience: Professor in the Central University of the Villages in Cuba Responsible for the course of Modern Algebra Responsible for the training of professors with little experience Annex I can teach among other the following topics. I only edit some main topics Calculus: Variables and functions. Limits. The derivative. Differentiation of albebraic functions. Implicit differentiation. tangent, normal. Function and their graphics. Applies problems in maxima and minima. Differentiation of trigonometric functions. Parametric representation of curves. Coordinates. Differentials. Curve tracing. Fundamentals integrations formulas. Integration by parts. Trigonometric integrals. The definite integrals. Plane areas by integration. Volumes. Approximate integration. Partial derivattives. Infinite series. Test for convergence and divergence. Power series. Ratio, nth root Raabe's and Gauss's test. Differential Equations. Equations of first order and first degree. Geometric applications. Linear equations of order n Homogeneous Linear equations with constant coefficients Linear equations with constant coefficients. Variation of parameters, undetermined coefficients. Linear Algebra Vectors and scalars. The dot and cross product. Vector differentiation. Gradient, divergence and curl. Vexctor integration. The divergence and stokes theorem and ralated integral theorems Vectors Space in Rn and Cn Linear equations. Matrices. Vector Spaces and subspaces. Basis and Dimension. Linear mapping. Matrices and Abstract Algebra Sets and relations. sets, elements. set operations. Products sets. Relations. Equivalence relations. Algebraic structures. Introduction. Groups. Subgroups. Theorem. Distinguished subgroups. Lagrange theorem. Rings, integral domanins and fields. Modules. Polynomials. Polynomials ring. Divisibility theory. Ring Z/p (p prime). Algebraic construction of numeric domains (Z,Q)
Experience
I was a professor in the University Las Villas in Cuba. I was a computer programming and I worked in this matter in hydraulic company in Cuba. I want to be a tutor because I have experience and enough knowledge for it. II have taken pedagogy classes and many courses of superior mathematics for example Theory of Groups.
Subject Expertise
10th Grade math, 11th Grade math, 12th Grade math, 8th Grade math, 9th Grade math