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Algebra 1

I have 3 years experience as a college algebra tutor at the University of Illinois at Chicago and Elgin Community College.

I graduated with highest distinction from the Mathematics Department at UIC.

Potential topics are: Factoring, Graphing, Linear and Non-Linear Equations, Inequalities, Logarithms and Exponentials, Conics.

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Algebra 2

I have three years experience as an algebra tutor at the University of Illinois at Chicago and Elgin Community College.

I graduated with highest distinction from the Mathematics Department at UIC.

Potential topics are: Factoring, Graphing, Linear and Non-Linear Equations, Inequalities, Logarithms and Exponentials, Conics, ....

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Calculus

I have 3 years experience as a Calculus tutor at the University of Illinois at Chicago and Elgin Community College, and I also help with Workshops for Calculus 2 and Multivariable Calculus.

I graduated with highest distinction from the Mathematics Department at UIC.

Potential Topics include:

Calculus 1: Limits, Tangent Lines, Implicit Differentiation, Integration, Riemann Sums, Optimization Problems and Extrema...

Calculus 2: Infinite Series, Volumes,...
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Geometry

Geometry is a subject that has to be mastered in order to succeed in courses like Statics, Dynamics, Calculus, and Physics.

I can help from basic constructions in geometry to proving strategies about important theorems dealing with similarity of triangles, areas, sectors, circles, and polygons.

3D Geometry Topics involve: Euler's Formula, Volume of regular and irregular prisms and pyramids, as well as finding the volume/surface area of combined shapes.

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Prealgebra

I have three years experience as a pre-algebra tutor at the University of Illinois at Chicago and Elgin Community College.

I graduated with highest distinction from the Mathematics Department at UIC.

Potential topics are: Number Systems, Mathematical (Set) Notation, Prime Numbers, Factoring, Polynomials, Summation Notation, Linear Equations,...

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Precalculus

I have 3 years experience as a pre-calculus tutor at the University of Illinois at Chicago and Elgin Community College.

I graduated with highest distinction from the Mathematics Department at UIC.

Potential topics are: Binomial Theorem, Factoring, Difference Quotient, Graphs of Polynomials and Rational Functions, Trigonometry, Complex Numbers, Matrix Equations, Linear and Non-Linear Systems,...

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Spanish

I have previous experience tutoring privately to high school and college students Spanish.

I am a native Spanish speaker, and I took Spanish Grammar, Spanish Literature and Spanish Philosophy to graduate from high school in my country before coming to the U.S.A.

Potential topics include: Conjugating verbs, Past, Present, and Future tense, Everyday Communication, Professional Interaction (at jobs for example), Latin American Spanish vs European Spanish, Spanish in Films,...

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Trigonometry

I have a strong background in Engineering besides my degree in Mathematics, and there is a course called Analytical Mechanics that every Engineer has to take while at College.

When one takes this course one applies everything learned in Trigonometry to solve real life mechanical problems.

So I also like to show my curious students how Trigonometry is useful beside the regular computational problems.

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ACT Math

ACT Math Potential Topics:

- Geometric 3D Volume and Area Relationships.

- Solving Algebraic Equations and Inequalities.

- Applying Trigonometric Ratios to Solve Real World Problems.

- Familiarity With Prime and Grouping Factorization.

- Cartesian Coordinate System (Distance and Midpoint Formula).

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Differential Equations

I took a course on Differential Equations at the University of Illinois at Chicago as well as advanced physics courses two of them Electrodynamics and Quantum Mechanics. These physics courses involved not just Ordinary Differential Equations but also Partial Differential Equations and we covered many methods to solve them.

One of the methods is that of Separation of Variables which is a very common one.

Another method is the one of Frobenius, and we talked about Infinite Series...
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Linear Algebra

I am qualified to tutor Linear Algebra because I have a B.S. in Mathematics, which requires 2 semesters of Linear Algebra and Abstract Algebra. I also have experience tutoring this course at the University of Illinois at Chicago. Finally, I took many physics courses that require mastering of linear algebra, one of them is Quantum Mechanics. Linear Algebra is the language of Quantum Mechanics. Physicists use this mathematical tool to express their physical models. Potential Topics Include: Vector...
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Mechanical Engineering

My degree is in Pure Mathematics but I have also taken a few engineering courses such as computer programing for engineers (C++) and vector mechanics (Statics and Dynamics).

While these courses are not at the advanced level, they are pre-requisites for every engineering carrer.

I have also self - studied analytical mechanics using the Lagrange approach (Energy Methods) instead of the regular Newtonian approach (Vectorial Methods).

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Mathematica

I took a course at the University of Illinois at Chicago as one of my electives about Mathematica.

It was an "Special Topics Course" , and the audience was undergraduate students in their last year of school.

Some of the applications that I learned deal with: 2D & 3D Plotting, Finding Derivatives and Integrals, Solving Algebraic and Differential Equations, Manipulation of Vector Fields, Cryptographic tools used from Number Theory like prime factorization and writing algorithms...
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