### ACT Math

The ACT Mathematics Test is a 60-question, 60-minute test designed to measure the mathematical skills students have typically acquired in courses taken by the end of 11th grade. These skills include Pre-Algebra, Algebra 1, Algebra 2, Geometry and Trignometry. I give a practice test for ACT to find student's weakness areas. I emphasize those areas when teaching ACT Math and also teach Math study skills, and reasoning skills for ACT to the student.

### ACT Science

I tutor ACT Science students to solve problems in all the three question formats used on ACT Science test.

- Data Representation

- Research Summaries

- Conflicting Viewpoints

I tutor students in general knowledge of natural sciences for this test. Advanced knowledge in science subjects is not required for this test. This test emphasizes scientific reasoning skills over recall of scientific content, skill in mathematics, or reading ability. The Science Test measures the skills required in the natural sciences: interpretation, analysis, evaluation, reasoning, and problem solving.

### AFOQT

Based on student's liking/aptitude, I teach student for specific AFOQT composite subtests. I also give helpful tips to help him/her succeed in getting selected for specific officer program. I can tutor/guide students for all 5 AFOQT composites (all 11 subtests). I focus my teaching on the basic concepts needed to solve different categories of questions in subtests for each AFOQT composite.

### Algebra 1

Algebra 1 course is normally taken after prealgebra course. I teach following topics in Algebra 1: Numerical Expressions, Properties of Real Numbers, Ratio, Percent, Functions, Linear Equations, Graphing Relations and Functions, Linear Inequalities, Quadratic Functions and Inequalities, Graphing Quadratics, Polynomial Functions, Rules of Factoring, Complex Fractions, and Square Roots.

### Algebra 2

I teach Algebra 2 to High School and college students. I teach following topics in Algebra 2: numbers and operations, complex numbers, matrices, proportion, algebraic relations, patterns, Sequences and Series, recursive functions, properties of linear, absolute value, quadratic, exponential, logarithmic, polynomial and rational functions, inverse of functions, rules of exponents, solve system of linear and quadratic equations or inequalities with two variables, rate of change, intercepts, asymptotes, Geometric and Spatial relationship, Use matrices to represent translation, rotation, dilation and reflection, use simple transformations and their compositions on linear, quadratic, logarithmic and exponential functions, conic sections, measurements, counting methods, data analysis and probability, scatter plots.

### ASVAB

For ASVAB, I teach following subjects or any combination of those subjects based on student's need.

Study Skills, General Science, Arithmetic Reasoning, Word Knowledge, Paragraph Comprehension, Mathematics Knowledge, Electronics Information, Auto and Shop Information, Mechanical Comprehension

### Business

I completed my MBA, where I took diverse management courses like Financial Management, Accounting, Cost Accounting, Quantitative Analysis, Business Administration, marketing Management, etc. I was a manager at a large US corporation. I am a small business owner and I have tutored MBA students in variety of subjects from a Quantitive Analysis course at La Salle University to a Business Intelligence course at DeVry University.

### Calculus

I teach Calculus to college and high school students (AP Calculus AB and BC). I modify my teaching method and topics based on student's existing knowledge. The prerequisite for this subject is algebra 2, trigonometry, geometry and precalculus (analytical geometry and elementary functions).

I cover following topics in calculus.

- Functions, Graphs, and Limits (Asymptotic and unbounded behavior, Continuity, Parametric, polar, and vector functions)

- Derivatives (Concept, derivative at a point, derivative as a function, second derivative, applications, derivatives of functions including power, exponential, logarithmic, trigonometric, and inverse trigonometric functions)

- Integrals (Interpretations and properties of definite integrals, Applications, Fundamental Theorem of Calculus, Techniques of antidifferentiation, Numerical approximations to definite integrals, Riemann sums, Trapezoidal sums)

- Polynomial Approximations and Series (Series of constants, convergence of p-series, Taylor Series, Maclaurin series, Lagrange error bound for Taylor polynomials)

### Computer Programming

I am a computer software professional working in this field for more than 20 years. I have developed software applications in many computer languages including C, C++, Java, SQL, HTML, JavaScript, Basic, FORTRAN, etc.

I also have following certifications in computer programming:

- Sun Certified Java Programmer (Java SE 6)

- Sun Certified Web Component Developer (Java EE 5)

- Oracle Database SQL Certified Expert (Oracle 11g)

### Elementary (K-6th)

My speciality area for elementary students is teaching Math, Reading, and Science but I have taught elementary school students in all subjects. I understand the needs of younger students. I emphasize on teaching study skills along with needed subjects to elementary school children.

### Elementary Math

My focus in teaching math to Elementary School children is to build their confidence and show them that math is not difficult.

I teach following topics based of student's needs and grade level.

- math activities and games.

- numbers and operations.

- place value.

- addition and subtraction.

- word problems.

- multiplication, division and commutative, associative and distributive properties.

- one and two step problems involving operations.

- Fractions.

- prime numbers.

- Factoring.

- measurement, estimation, data analysis and probability.

- Shapes, Geometry and Spatial sense.

- Area.

- decimal numbers and operations of decimal numbers.

### Geometry

I emphasize more on the topics that a student has difficulty with and also the topics that students has assignment due or exam in near future. For Geometry, I also try to develop visual and spatial ability as well as reasoning ability of the student.

In Geometry, I teach following topics: Reasoning and proof, points, parallel and perpendicular lines, planes, congruent triangles, relationships between triangles, right triangles, quadrilaterals, polygons, similarity, circles, solids, perimeter, area, surface area and volume of solids, transformations, trigonometry.

### ISEE

I have been teaching middle school and high school students to be successful in various entrance tests like ISEE. I teach them the subject knowledge and study skills required to do their best in those tests.

Independent School Entrance Examination (ISEE)is an entrance exam used by mostly non-parochial independent schools. It has 3 levels of tests:

- Lower level for students in grades 4 and 5. Test time is 2 hours 20 minutes.

- Middle level for students in grades 6 and 7. Test time is 2 hours 40 minutes.

- Upper Level for students in grades 8 through 11. Test time is 2 hours 40 minutes.

ISEE consists of 3 parts:

- verbal and quantitative reasoning test

- reading comprehension and mathematics achievement

- essay section which is not scored but sent to school

### Java

I am a computer software professional developing enterprise code in Java. I am a Sun-Certified Java Programmer as well as a Sun-Certified Web Component Developer in Java EE.

### Physics

I teach Physics, AP Physics B, and AP Physics C to high school and college students. I always tailor my tutoring to each student's understanding and need.

In general, I cover the following topics in physics, depending on the course syllabus:

Mechanics

Vectors, Kinematics, Newton's laws of motion, Work, Energy, Power, Linear momentum, Circular motion, Oscillations, Laws of gravitation, Fluid mechanics, Thermal Physics

Electricity and Magnetism

Electric Forces and Fields, Electric Potential, Electric current,resistance, capacitance, DC Circuits, Mannetic forces and fields, Electromagnetic Induction

Wave Motion, Sound, Optics-Light, Reflection, Refraction, Interference, Diffraction, Atomic and Nuclear Physics

### Prealgebra

I cover the following topics in prealgebra:

Integers, Equations, Factors and Fractions, Rational Numbers, Ratio, Proportion, Percent, Functions and Graphing, Equations and Inequalities, Statistics and Probability, Polynomials and Nonlinear Functions

### Precalculus

I teach this class to college and high school students. Pre-requisite to precalculus is Algebra 2. Half of the precalculus course normally contains Trigonometry. The material I teach depends on students current knowledge and understanding.

In this subject, I cover analysis and graphing of

- linear equations

- quadratic equations

- polynomial equations

- rational equations

- exponential equations

- logarithmic equations

- trigonometric functions (unit circle and conversions, right angle triangle, inverse trigonometric functions and their graphs, conic sections (Parabolas, Ellipses and circles, Hyperbolas))

- Shifting, Reflecting, and Stretching Graphs

- Matrices

- Sequences and Series

### SSAT

I teach students of all three levels of SSAT:

• Elementary (for students currently in grades 3-4)

• Middle (for students currently in grades 5-7)

• Upper (for students currently in grades 8-11)

I help students improve their scores in all sections of SSAT.

Quantitative (math) - Tests your ability to solve problems involving arithmetic, basic algebra and geometry, and concepts.

Verbal - Tests your vocabulary, verbal reasoning, and ability to relate ideas logically.

Reading comprehension - Tests your ability to understand what you read.

Writing Sample - Your essay is not graded, but a copy is sent to schools or consultant.

### Trigonometry

I teach Trigonometry to college and high school students. Normally it is a pre-requisite to higher level math, science and engineering courses.

In Trigonometry, I cover following topics based on the student's need:

- Trigonometric Functions and their graphs.

- Applications of Trigonometric and Circular Functions, Amplitude, Period, Phase shift and vertical shift, General Sinusoidal graph, Degrees and Radians, inverses.

- Properties of Trigonometric and Circular Functions, odd and even, cofunction, more than one argument, double argument and half argument properties, sum and product properties, linear combination of Sine and Cosine, interval notation.

- Composition of Ordinates, Rotary Motion, and inverse Functions, angular velocity, conversion of angular velocity to linear velocity, inverse circular function properties and graphs.

- Triangle Problems, Right Triangles, Oblique Triangles (Law of Cosines and Law of Sines), area of triangle, Vectors-addition, subtraction, components.

- Polar Coordinates, Polar equations of lines and circles, Polar-Cartesian Transformations, Imaginary numbers, complex numbers, complex numbers in cartesian and polar forms, complex numbers for vectors.

- Power Series, Taylor series for Sine, Cosine and Exponential Functions, Euler's Formulas.