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Tutoring and learning is a pleasurable and gratifying experience. I would like to prepare my students to be ready for accepting challenges in the global market place by increasing their learning horizon. One needs to achieve advance degree and knowledge to survive in an ever increasing advanced societies. Increased knowledge base facilitate

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Math:

ACT Math,
Algebra 1,
Science:

Electrical Engineering,
English:

Grammar, Reading, Vocabulary
Test Preparation:

ACT Math, GED,
SAT Math
Computer:

C,
Elementary Education:

Elementary (K-6th), Business:

Microsoft Excel, Microsoft PowerPoint, Microsoft Word
Approved subjects are in **bold**.

In most cases, tutors gain approval in a subject by passing a proficiency exam. For some subject areas, like music and art, tutors submit written requests to demonstrate their proficiency to potential students. If a tutor is interested but not yet approved in a subject, the subject will appear in non-bold font. Tutors need to be approved in a subject prior to beginning lessons.

I have the following topics:

Functions:

• Use and interpret function notation.

• Find the domain of polynomial, rational, radical, exponential, and logarithmic functions.

• Use composition of functions.

• Find inverses of functions algebraically (where possible), graphically, and numerically.

• Interpret the graphs of functions.

Graphing functions:

• Recognize the equations and sketch the graphs of the following: Lines, x2, x3, x1/3, x1/2, 1/x, 1/x2, |x|, semi-circles, circles, factored polynomials of degree 3 or more, ax, logax, and their linear transformations.

• Find inverses of functions graphically.

• Find and sketch asymptotes of rational, exponential, and logarithmic functions.

• Describe the end behavior of all the above functions.

• Determine when it is appropriate to use a calculator or graphing technology.

• Approximate zeros of a function.

Symbolic Adeptness:

• Solve equations including quadratic, rational, literal, quadratic types, exponential, logarithmic, and equations with radicals.

• Solve polynomial and rational inequalities.

• Solve non-linear systems of equations.

• Use long division and the Fundamental Theorem of Algebra to find zeros of polynomials of degree three or more.

• Simplify fractions with terms having negative exponents.

• Rationalize numerators as well as denominators.

• Simplify complex fractions.

• Use completing the square to find the vertices of parabolas and centers and radii of circles.

• Evaluate exponential and logarithmic expressions with calculators.

• Use the rules for logarithms.

• Solve systems of linear equations using Gauss-Jordan Elimination and Cramer's Rule.

Applications

• Recognize and use applications of linear functions including linear models.

• Recognize and use quadratic applications, including falling object, maximum, and minimum problems.

• Recognize and use rational expression applications such as animal populations in parks.

• Recognize and use exponential and logarithmic applications, including exponential growth and decay, doubling time, and half-life.

• Recognize and use applications of systems of linear equations.

Algebra 2

It is one of the fundamental subjects to learn to pursue higher and advanced level mathematics. I have extensive background in mathematics based on my training and work experience.This course is an extension of Algebra I and also expands the knowledge of geometry and provides further development of the concept of a function. Topics include: (1) relations, functions, equations and inequalities; (2) polynomials; (3) algebraic fractions; (4) logarithmic and exponential functions; (5) sequences and series; and (6) counting principles and probability. In addition, students will learn about imaginary and complex numbers, conic sections, logarithms, functions, and operations with polynomial expressions.

“C” is the programming language to learn for integrated understanding of both hardware and software and also to interface with other programming languages to produce very efficient programs in terms of execution speed and resource utilization and control over hardware. “C” forces one to build a mental model of what the computer is actually doing when running programs. As one asks why and keep digging for answers, the mental model will grow to encompass the process model, the CPU architecture, the memory hierarchy, the operating system, and so forth. It's that mental model — that will enable one to poke through the abstractions created by others, and write complex programs. I have both theoretical and industrial experience on the subject. I have a bachelor's degree in Electrical Engineering and master's degree both in Computer Science and Electrical Engineering. Over twenty years I have been a practicing Engineer and Software Developer and worked for aerospace industries. I developed many software by utilizing “C” programming language.

I have studied and used this subject as an Electrical Engineer and Computer Scientist for modeling problems in various disciplines. I have in depth knowledge in the field of differential equations, which is a keystone of scientific knowledge today, with broad applications in mathematics, engineering, physics, and other scientific fields. Encompassing both basic concepts and advanced results, my knowledge base of Differential Equations is the definitive, hands-on introduction professionals and students need in order to gain a strong knowledge base applicable to the many different subfields of differential equations and dynamical systems.

I have studied and used this subject for algorithm design and implementation in various disciplines. I have in depth knowledge as a Computer Scientist and Computer and Electrical Engineer who studied, used and taught applied discrete math. Fields of mathematics that are considered to be part of discrete mathematics include combinatorics, graph theory and the theory of computation. Topics in number theory such as congruence’s and recurrence relations are also considered part of discrete mathematics. The study of topics in discrete mathematics usually includes the study of algorithms, their implementations, and efficiencies. Discrete mathematics is the mathematical language of computer science, and as such, its importance has increased dramatically in recent decades.

I have both theoretical and industrial experience on the subject. I have also taught this subject.

I have a bachelor degree in Electrical Engineering and master degree both in Computer Science and Electrical Engineering. Over twenty years I have been a practicing Engineer and Software Developer and worked for aerospace industries. Consequently I have used various software and engineering techniques including advance math, over 36 credit hours of training on math alone. My teaching method is to enhance the student’s fundamental understanding followed by extensive practice and critical thinking. I also emphasize 360 degree abstraction of the subject with multiple probable approaches to arrive at an optimal solution for design and development.

A "Finite Math" course will be something of a survey of everything that doesn't involve calculus, which can be a lot of topics. These topics can include statistics and probability (not intuitive for people new to the subject), matrix algebra (complicated), combinatorics (fancy counting, which can be confusing), linear optimization (more matrix algebra), symbolic logic, and mathematical modeling (lots of fun, really). I have a bachelor's degree in Electrical Engineering and master's degree both in Computer Science, Electrical Engineering and Project Engineering. I have studied and used this subject as antecedent to my advance math, with over 36 credit hours of classroom training.

More about my compuer experience

Computer Engineering and Science

Development of software systems using a set of knowledge of techniques, procedures, and processes such as operating system theory, data structures, computer system architecture, Software engineering, and computer communications.

Specific Software Development Experience

Well conversant with the following topics.

i. Operating System and Environment: Unix and Real-time Unix, RTX a real time Kernel under Windows OS, Windows 7, Windows Enterprise Server 2008 R2, Windows Small Business Server 2011, OS32, VAX-VMS,

Intel SDK, .NET Framework 4.0, Visual Studio 2010, Presently Evaluation Beta Version of Visual Studio 2011 & .Net 4.5 , MATLAB

ii. Programming Languages: C# / C++ / C / Java / J2EE / Visual Basic / Small Talk / Pascal / ALGOL / PL1 / ADA / 4GL / FORTRAN / Prolog & Lisp / Script Languages / HTML / XML; MATLAB; Micro- Programming; Computer Graphics & 4GL Languages; Cave Automatic Virtual Environment(CAVE); and embedded systems.

iii. Database Management: Relational Database Management (Sql. Server, Oracle, Access etc.), including Query Languages; Design of Schema, Abstraction, Architecture & Design including Normalization, up to 6th. Normal form. Software (C++ / C# / Java) driven database controls & interfacing utilizing ActiveX Data Objects (ADO)

iv. Computer Networking: Abstraction, Topology, Architectural & Detail Design & Implementation including: network equipment selection such as Routers, Firewalls, Advanced Security Appliances, Security & Encryption, Equipment Selection etc., Writing Security Policies & Procedures including Information Assurance (IA), Network Vulnerabilities assessment, preventing denial of services, network stress testing etc.

v. Web Services: Knowledgeable in Java EE Open Source Architecture and Application Server: JBoss, Geronimo, Tomcat, WebSphere; Languages: HTML, HTML5,CSS,CSS3; Browser Scripting: JavaScript, JSP, PHP, HTML DOM, DHTML, AJAX, jQuery, JSON, Google Maps; ASP: ASP.NET, Web Pages, Razor, MVC, Web Forms, .NET Mobile; XML: XML, DTD, XML DOM, XSLT, XPath, XQuery, XLink, XPointer, Schema, XSL-FO, SVG; Web Services: WSDL, SOAP, RSS, RDF, TFS, WCF, REpresentational State Transfer (REST) software architecture for distributed systems,

vi. Microsoft Office Suite 2010 including: MS Project, MS Word, Excel, Outlook, Windows Explorer, with VB scripting & embedding.

Computer Networking and Related Skills

i. Enterprise Network Topology & Architectural design, as well as plans on Network Infrastructure Improvement and Data Flow for Enterprise Network as well as Real-time SCADA Network including: Information Assurance(IA); Network Vulnerability Assessment; Prevention of Denial of Services, Stress Testing, and Implementation Plan; Equipment Selection including: Router, Firewall, Switches and Adaptive Security Appliances (ASA), Budgeting & Scheduling. Distributed Servers and remote server management, including virtualization. Utilized: Cisco IOS & NX-OS, and Novel Software.

ii. Channel Access Methods: Intimately knowledgeable about radio and other communication techniques such as: Spread-Spectrum Signaling, CDMA, WCDMA,TDMA, FDMA including transmitters and receivers in fiber optics and wireless medium.

Advanced Hardware and Software

Intimate with the abstraction, architectural and detail design, and implementation of the following:

1) Neural FPGA: Artificial Neural Networks Architecture, Training Algorithms, Control Application of ANNs, Neural Network Implementation.

2) Top Down Design Methodology, utilizing Hardware Description Language (HDL) and Very High Speed Integrated Circuit Hardware Description Language (VHDL), consists of Design Spec, behavioral model, simulation, VHDL-RTL (Register Transfer Level), Simulation, Synthesis, Simulation, Implementation, Timing Analysis, and Device Programming.

3) Neural Network: Learning Process, Multilayer Perceptrons, Self-Organization Systems, Modular Networks, Temporal Processing, Neurodynamics and hardware/software implementation.

4) Embedded System:

Designed & Developed Variable Instruction Set Computer Utilizing Bit Slice Microprocessor manufactured by Advanced Micro Devices (AMD) ;DSP Programming

I have taught Geometry to students of different grade levels. It is one of the fundamental subjects to learn to pursue higher and advanced level mathematics. I have extensive background in mathematics based on my training and work experience.

Geometry is the study of the shape, size, and position of objects. Planar geometry focuses on 2D objects such as points, lines, triangles, quadrilaterals, polygons, and circles. Solid geometry includes the study of 3D objects such as prisms, pyramids, polyhedrons, cylinders, spheres and cones.

The name geometry comes from two Greek words meaning earth and to measure. The earliest uses of geometry included measuring lengths and areas of land. Most scholars believe that the ancient Egyptians and Babylonians were the first people to use geometry extensively.

Artists, engineers, cartographers, and designers use geometry in their work. Geometry is used anytime one decides to design or build something. One cannot build a box, a fence, a fighter jet or a paper crane without using geometry. The study of this subject also allows the students to develop and practice problem-solving skills using inductive and deductive reasoning. Students are guided through all the conceptual and working levels of the process using geometry. It uses two and three-dimensional geometric shapes and examines their properties, measurements, and mutual relations in space. Geometric proofs are used as a vehicle to systematically develop these problem solving skills by relating geometric shapes. Student will move on to higher-level math courses with an increased ability to apply algebra to the solution of problems involving measurement, physical relationships, and logical proof.

It is one of the fundamental subjects to learn to persue Algebra 1 & 2 and other higher and advanced level mathematics. The goal of this course is to provide a strong foundation in the algebraic skills and necessary to be successful in higher grade levels. In addition to further developing the student's computational skills, emphasis is also placed upon improving their logic and problem solving abilities. I have taught this subject to students sereval times in the past, which include but not limited to the following. I have extensive background in mathematics based on my training and work experience. I have the following topics:

UNITS:

• Variables, Expressions, and Integers

• Solving Equations

• Multi-Step Equations and Inequalities

• Factors, Fractions, and Exponents

• Rational Numbers and Equations

• Ratio, Proportion, and Probability

• Percent

• Linear Functions

• Real Numbers and Right Triangles

• Measurement, Area, and Volume

• Probability

• Polynomials

• Angles

This subject will lead the students to the following:

• Further work on advanced computational skills

• General work with Algebra

This course introduces the foundations of analysis designed to precede the calculus sequence with emphasis on functions and graphs. Topics include properties of absolute value, polynomial, rational, exponential, logarithmic and trigonometric functions, techniques for solving equations and inequalities, and an introduction to the concept of limits and the difference quotient.

The student will be guided to perform:

1. analyze calculus-related concepts, such as limits, tangent to a curve, and the difference quotient;

2. apply the properties of functions, such as finding the domain and range, determine zeros of functions, symmetries of a function, vertical, horizontal, and oblique asymptotes, use limits to determine end behavior of a function, develop the skills to graph functions, and accurately use a graphing calculator to find transformations of graphs;

3. perform operations of functions - addition, subtraction, multiplication, division, composition, find and graph inverse functions, solve problems involving maximizing and minimizing a quadratic function, and construct mathematical models with functions using real-world applications or formulas;

4. graph exponential and logarithmic functions, accurately use the properties of logarithms and the definition of e, solve exponential and logarithmic equations, and application problems using exponents and logarithms;

5. define trigonometric functions, using the unit circle and right triangle definition, graph trigonometric functions, find the inverse trigonometric functions, verify trigonometric identities and formulas, solve trigonometric equations and solve problems, using real-world applications;

6. develop the ability to analyze, interpret, and apply quantitative information [Quantitative Literacy].

I will teach the following topics:

Pre-Algebra

•Integers

•Fractions

•Decimals

•Basic Exponents

•Order of Operations

•Ratios and Proportions

•Percentages

•Basic Statistics

Algebra

•Substituting Values

•Setting up Equations

•Linear Equations

•Polynomials

•Exponents and Radicals

•Rational Expressions

I have taught the following topics of Trigonometry.

Review geometric concepts, the Pythagorean Theorem,

functions, and special right triangles.

2. Solve right triangles for missing sides and angles.

3. Use the Law of Cosines, the Law of Sines, and the Law of

Tangents.

4. Graph trigonometric functions by hand and on the calculator.

5. Find values of inverse trigonometric functions.

6. Convert rectangular coordinates to polar coordinates.

7. Graph polar equations.

8. Make connections between trigonometric and circular functions.

9. Prove trigonometric identities.

10. Solve trigonometric equations

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