Yes, I can make math easy, simple, fun, and allow students to learn by themselves giving them confidence to solve any math question. I have been tutoring, mentoring, and teaching Algebra, Pre-Calculus, Calculus, Statistics, and Physics for 12 years. Currently, I am teaching College Algebra, Trigonometry, and Application Mathematics at the USAF Academy Prep School, and I am also tutoring multiple Algebra I & II and AP calculus for high school students, calculus and Statistics for UCCS students.

As a tutor or Instructor, I guide the students through solving math problems using a problem-solving based teaching style to help students learn and understand math concepts, therefore, all my students can learn to handle any challenge question on their own in the near future. I use effective practices, strategies and resources to inspire and enrich each of my student's learning. I usually use different learning styles such as workbooks, visual aid computers, hands-on activities like lab, student-centered discussions as learning centered, one-on-one tutoring and small-group tutoring.

Note: Let me work with a student who is trying to achieve college credits in AP Calculus, Statistics, and Physics. Let me work with a student who thinks that Calculus is Greek language or something difficult. Let me work with student who has hated math, to challenge them and change their attitude towards math. My tutoring styles are all about learning focus and have fun with math as playing game. After I meet new student, our game is all about solving puzzles, solving math questions is like playing a game, if we find a right solution; we win, if not keep playing, challenging ourselves until we solve it.

My teaching philosophy: Setting a good example; helping and encouraging students to ask any question to help them grow; creating an environment to engage, motivate, and make them more competitive; implementing a learning focus state where and how the mathematics apply in the decision making, engineering, and any real life situation by guiding them to construct their own way of creating and solving any problem without breaking any math rule.

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Ayanaw's subjects

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Algebra 2

Algebra I and II for High School or College Math: Operations on Whole Numbers, Addition and Subtraction Using Fractional Notation, Addition and Subtraction Using Decimal Notation, Multiplication and Division Using Fractional Notation, Multiplication and Division Using Decimal Notation, Ratio and Proportion, Percent Notation, The Real Number System, Dimensional analysis, Number systems other than base 10, Order of Operations, Exponents, Set Operations, Venn diagrams, Logic; Truth tables, Conditionals...
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Calculus

Single Variable (Calculus I and II): Limits, limit theorems, L'Hopital's Rule, Continuity; intermediate value theorem, Derivatives, chain rule, implicit differentiation, Applications of Derivatives; Analysis of Graphs, mean value theorem, max/min, Related rates, Integrals, Integration techniques; polynomials, exponential and logs, trigonometric, substitution, trig substitution, parts, partial fractions, Applications of Integrals, length of curves, work, volume, surface area - Parametric equations,...
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Precalculus

Algebra, College Algebra, or Pre-calculus: Linear equations, Absolute value, Inequalities, Nonlinear Functions, Function notation, Polynomials, Translations, Shifting, reflecting graphs, Composition, Inverse functions - Roots of polynomials, Quadratic equation, Factoring, Complete square, Quadratic formula, Complex Numbers, Higher Degree, Factoring special cases, Exponentials and Logarithmic function and Graphs, 2 equations 2 unknowns, Matrix algebra, Gaussian elimination, Inverses, Mathematics...
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Trigonometry

I have been teaching Trigonometry as Pre-calculus requirement in Prep School for the last two years. Trigonometry is my favorite subject of all, because it is a branch of mathematics that studies only triangles and the relationships between the lengths of their sides and the angles between those sides.

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Statistics

Statistics or probability: Descriptive Statistics, Data Analysis, Graphic Representations, Measures of Central Tendency, Dispersion, Position, Regression and Correlation, Probability, Random Variables, Probability Distributions for Discrete and Continuous Random Variables, Inferential Statistics, Sampling and Sampling Distributions, Central Limit Theorem, Confidence Intervals, Hypothesis Testing, Inference Concerning Correlation and Regression, Analysis of Variance, Categorical Data Analysis,...
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Differential Equations

I have taken two Differential Equations courses and one Applied Mathematics using Differential Equation to earn my Applied Mathematics Degree. Since then, I have been tutoring some students. It is very critical to learn the concepts of Differential Equation and know how to use it and when to use it. Many laws leading natural phenomena are equations involving rates at which derivatives. Basically, Equations containing derivatives are differential equations.

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Linear Algebra

I took multiple Linear Algebra courses to earn my Applied Mathematics degree. Linear Algebra was one of my specialties while studying. Since then, I have been tutoring undergraduate and graduate level Linear algebra courses. Linear algebra is very rich subject and central to both pure and applied mathematics, concerning vector spaces, often finite or infinite dimensional, as well as Linear Mappings between such spaces.

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