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I am a very patient, knowledgeable and organized tutor.

I love to teach my students. I have too much interest in teaching my students. I go out of my way to do more research to find some innovative ways of teaching that are more beneficial to my students.

My students get a good and strong foundation for …
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My daughter started with Ashwin when she was a freshman in high school struggling with Algebra I. She will be entering her junior year this fall and we still feel lucky to be working with Ashwin. He very patiently went back and helped with the concepts she was missing from poor teaching in 7th and 8th grade. He has instilled not only knowledge, but confidence in our daughter, who is no longer intimidated by her math courses. She knows Ashwin will help her prepare for tests, master concepts, and many times be one-step ahead of the class. We have continued working with him over the summer months to be ready for the rigors of Algebra II. Additionally, he is reinforcing past concepts as an ongoing review for the math portions of standardized tests she will be taking over the next couple of years. We consider ourselves lucky to have found Ashwin and appreciate his hard work with our daughter.

My son loves Learning with Ashwin and he has been working with him on some of the concepts in math. He is very happy to learn with him and is always eager to learn new concepts with him. I think Ashwin helped him develop an interest in Math. Now he scores high in math and got a 99% ISAT and MAP score. We are very happy with our decision.

From the get go Ashwin has impressed both my son and I in the way how well he was prepared for the task.

My Children really like the way Ashwin teaches. He is a very patient and dedicated to what he does.

From his initial lessons, I can say that he is very knowledgeable tutor.

Math:

ACT Math,
Science:

English:

Language:

Special Needs:

Dyslexia
Elementary Education:

Reading
Business:

GRE
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Pre-Algebra: Factors, Square roots and approximations, Absolute value and ordering numbers by value , Exponents, Scientific notation

Elementary Algebra: Exponents and square roots, Evaluation of algebraic expressions through substitution, Using variables to express functional relationships, Algebraic operations, Factoring and quadratic equations

Intermediate Algebra: Quadratic formula, Rational and radical expressions, Absolute value equations and inequalities, Sequences and patterns, Polynomials, Complex numbers

Coordinate Geometry: Graphing and the relations between equations and graphs, including points, lines, polynomials, circles, and other curves, Graphing inequalities, Slope, Parallel and perpendicular lines, Distance; midpoints; and conics

Plane Geometry: Angles and relations among perpendicular and parallel lines, Properties of circles, triangles, rectangles, parallelograms, and trapezoids, Transformations, Proof and proof techniques, Volume, Three-dimensional Geometry

Trigonometry:Trigonometric relations in right triangles, Values and properties of trigonometric functions, Graphing trigonometric functions, Modeling using trigonometric functions, Solving trigonometric equations

Order of Operations, Distribution and Factoring, Exponents

Fractional Exponents, Radicals, One-Variable expressions

Factoring, Fractions, and Radicals with Variables

Linear Equations and Word Problems

Algebra with Multiple Variables

Systems of Two-Variable Linear Equations

Ratio and Percent

Proportion

Graphing Lines

More Lines and Introduction to Inequalities

Inequality Problem-Solving and Graphing

Quadratic Equations

Special Factorizations

Complex Numbers

Deriving the Quadratic Formula

Functions and Relations

Quadratic Functions

Rational Expressions/Equations

Radicals/Absolute Value Equations/Inequalities

Exponential and Logarithmic Functions

Trigonometry

Trig Applications

1 LIMITS AND CONTINUITY

Limits (An Intuitive Approach)

Computing Limits

Limits at Infinity: End Behavior of a Function

Limits (More Rigorously)

Continuity

2 THE DERIVATIVE

Tangent Lines and Rates of Change

The Derivative Function

Introduction to Techniques of Differentiation

The Product and Quotient Rules

Derivatives of Trigonometric Functions

The Chain Rule

3 TOPICS IN DIFFERENTIATION

Implicit Differentiation

Derivatives of Logarithmic Functions

Derivatives of Exponential and Inverse Trigonometric Functions

Related Rates

Local Linear Approximation; Differentials

L’Hôpital’s Rule: Indeterminate Forms

4 THE DERIVATIVE IN GRAPHING AND APPLICATIONS

Analysis of Functions I: Increase, Decrease, and Concavity

Analysis of Functions II: Relative Extrema; Graphing Polynomials

Analysis of Functions III: Rational Functions, Cusps, and Vertical Tangents

Absolute Maxima and Minima

Parallel and Perpendicular Lines

Congruent Triangles

Quadrilaterals

Area

Similarity

Right Triangles

Surface Area and Volume

Circles

Transformations

Properties of Arithmetic 1

Properties of Arithmetic 2

Squares, Cubes, and Higher Exponents

More Exponents

Multiples and Divisibility Tests

Primes and Prime Factorization

Least Common Multiple, Greatest Common Divisor

Fractions

Expressions and Basic Equations

Advanced Equations and Word Problems

Inequalities

Arithmetic with Decimals

Decimals and Fractions

Ratio and Proportion

Units, Speed, and Rates

Percent

Percent Increase and Decrease

Squares and Square Roots

Arithmetic with Square Roots

Angles and Parallel Lines

Angles and Polygons

Perimeter and Area

Circles

Pythagorean Theorem

Special Triangles

Quadrilaterals

Basic Statistics

Tables, Graphs, and Charts

Counting as Arithmetic

More Counting and Probability

Problem-Solving Strategies

POLYNOMIAL AND RATIONAL FUNCTIONS.

Quadratic Functions.

Polynomial Functions of Higher Degree.

Dividing Polynomials: Long Division and Synthetic Division.

The Real Zeros of a Polynomial Function.

Complex Zeros: The Fundamental Theorem of Algebra.

Rational Functions.

EXPONENTIAL AND LOGARITHMIC FUNCTIONS.

Exponential Functions and Their Graphs.

Logarithmic Functions and Their Graphs.

Properties of Logarithms.

Exponential and Logarithmic Equations.

Exponential and Logarithmic Models.

Trigonometric Functions OF ANGLES.

Angle Measure.

Right Triangle Trigonometry.

The Law of Sines.

The Law of Cosines.

TRIGONOMETRIC FUNCTIONS OF REAL NUMBERS.

Trigonometric Functions of Real Numbers: The Unit Circle Approach.

Graphs of Sine and Cosine Functions.

Graphs of Other Trigonometric Functions.

ANALYTIC TRIGONOMETRY.

Verifying Trigonometric Identities.

Sum and Difference Identities.

Double-Angle and Half-Angle Identities.

Product-to-Sum and Sum-to-Product Identities.

Inverse Trigonometric Functions.

Trigonometric Equations.

POLAR COORDINATES AND VECTORS.

Vectors.

The Dot Product.

Polar (Trigonometric) Form of Complex Numbers.

Products, Quotients, Powers, and Roots of Complex Numbers.

Polar Coordinates and Graphs of Polar Equations.

SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES.

Systems of Linear Equations in Two Variables.

Systems of Linear Equations in Three Variables.

Matrix Algebra.

The Determinant of a Square Matrix and Cramer’s Rule.

Partial Fractions.

Systems of Linear Inequalities in Two Variables.

CONICS, SYSTEMS OF NONLINEAR EQUATIONS AND INEQUALITIES, AND PARAMETRIC EQUATIONS.

Conic Basics.

The Parabola.

The Ellipse.

The Hyperbola.

Systems of Nonlinear Equations.

Systems of Nonlinear Inequalities.

Rotation of Axes.

Polar Equations of Conics.

Parametric Equations and Graphs.

SEQUENCES AND SERIES.

Sequences and Series.

Arithmetic Sequences and Series.

Geometric Sequences and Series.

Mathematical Induction.

The Binomial Theorem.

Arithmetic Skills & Concepts

1. Numbers, Symbols, and Variables

2. Powers and Roots

3. Divisibility and Factors

4. Number Lines and Signed Numbers

5. Fractions and Decimals

6. Operations with Fractions

7. Fraction Word Problems

8. Percent

Algebraic Methods

9. Solving Equations

10. Equations with More Than One

Variable

11. Polynomials and Algebraic Fractions

12. Factoring

13. Quadratic Equations

14. Systems of Equations

15. Algebraic Inequalities

Geometric Concepts & Reasoning

16. Angle Relationships

17. Special Triangles

18. Triangle Inequality Relationships

19. Polygons and Parallelograms

20. Perimeter and Area

21. Circles

22. Solid Figures

23. Coordinate Geometry

Word Problems

24. Translating from English to Algebra

25. Percent Problems

26. Some Special Types of Word Problems

27. Ratio and Variation

28. Rate Problems

Special Problem Types

29. Average Problems

30. Counting Problems

31. Probability Problems

32. Graphs and Tables

33. Miscellaneous Problem Types

Algebra II Methods

34. Integer and Rational Exponents

35. Solving Special Types of Equations and Inequalities

36. Working with Functions

37. Some Special Functions

38. Simple Transformations of Functions

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