Jeffrey’s current tutoring subjects are listed at the left. You
can read more about
Jeffrey’s qualifications in specific subjects below.
I will cover arithmetic short cuts, principles of algebra (rules for manipulating equations, finding solutions to individual equations, systems of linear equations, polynomial equations), developing solutions to word problems, quantitative comparison, interpretation of graphs and charts. I will show how to develop graphical solutions and solve inequalities; also show how dimensional analysis guarantees correct answers. Then I will teach you the basics of trigonometry, mnemonics to remember the formulas, and application word problems.
REAL MATHEMATICS doesn't involve numbers. And, it gives us the he ability to make decisions based on relationships expressed symbolically. We don't really need numerical values or measurements to know whether a building or bridge is going to stand up in a storm or if a car's automatic braking system is going to work. We do need analytical tools and techniques based on the foundation built in Algebra 1. This is the course that introduces basic principles for manipulating equations and inequalities and shows the student how to translate a problem expressed in a sentence into a symbolic representation and the apply the right steps to solve for an unknown. Every science and math course you will ever take after this will use the foundation in critical thinking developed in this course. Do well here and do well in Chemistry, Physics, Engineering and even Business. We will work on setting up and solving word problems in a way that will make it obvious to you and anyone reading you paper that you thought process, method of solution, and final answer is correct.
We will review and apply ally the basic rules for combining terms and simplifying equations. You will learn how to check your own work and recognize your errors.
You learned the most basic rules and fundamentals in Algebra 1, now learn how to to use them in advanced applications that include:
Systems of Linear Equations and Inequalities; Matrices and Determinants; Quadratic Functions;
Polynomials and Polynomial Functions; Powers, Roots, and Radicals; Exponential and Logarithmic Functions;
Rational Equations and Functions; Trigonometric Ratios, Trigonometric Graphs, Identities, and Equations.
Your program will consist of intense review of basic content followed diagnostic tests to identify specific weaknesses and 'time hogs' then a battery of graded exercises followed by a review of problem solving methods, thought processes, and TIMED drill problems. So, we will MEASURE, ASSESS, DIAGNOSE, WORK TO IMPROVE, then MEASURE again.
I customize your prep program to use any prep books you might already have and focus on identifying the root causes of your weaknesses and ways for you to improve in those areas.
My own background in electrical engineering gives me an edge in Electronics Information, Mathematics Knowledge, Mechanical Comprehension, and General Science. I've been teaching adult learners since 1993.
Calculus lets us predict changes in a set of variables based on their present values and their interrelated rates of change. For electrical and mechanical engineers this is the basis of a 'toolset' for developing closed form analytical solutions in time- and frequency domains, as well as discrete time iterative simulations and models of real-world systems. I took a three semester Calculus sequence in undergraduate school as well as courses (heat transfer/transport systems, Fourier analysis) focused on the application of topics covered in Calculus.
Later in my career, after using the course content in industrial setting for over a decade, I have taught this same kind of Calculus application coursework in Linear Systems, Control Systems, and Digital Signal Processing.
Chemistry is concerned with deriving and applying the rules for interactions between pieces of matter (atoms and molecules) too small for us to see. Chemistry answers questions like: How do we measure solids, liquids, and gases; what distinguishes each element and class of element from the others; how are compounds formed; what part do electrons, protons, neutron play in chemistry? Of course, the student wants to know: what are the rules, what is the fastest way to learn this, how do I remember them, and how do I check my own work?
I concentrate on both sets of questions.
Between 1996 and 2002, I taught a one-semester graduate level survey course in (CISE 502) Computer Architecture and Operating systems in the Computer Informations Systems Engineering program at Tennessee State University. This course was based on the books by Patterson and Hennessey. From 1995 to 2002, in the electrical engineering department of this same university, I also taught an undergraduate course on digital logic design which included detailed design of the hardware sub-systems comprising the architectural components(arithmetic logic units, central processing units, control units, bus interfaces, combinatorial logic and sequential machines) of a computer.
In both course I trained the students to always develop a set of working candidate solutions to meet functional requirements (ideally derived from conversations with the customer) which could be down-selected based on evaluation of a set of engineering attributes. I have worked in the defense industry between from 1979 to 1992 and again from 2003 to the present.
I have over twenty years of experience as an employee of Department of Defense contracting firms, my technical focus area encompasses the end-to-end development of electronic systems for interception, detection and classification, analysis and interpretation of man made, intelligence bearing electromagnetic signals.
At Tennessee State University, I taught lecture and lab (where applicable) for Circuits I, Circuits II, Analog Electronics, Digital Logic Design, Linear Systems, Digital Signal Processing, Communications Systems, and a graduate course in Computer Architecture and Operating Systems.
I supervised completion of one Master's of Engineering Thesis and twenty-one BSEE Capstone Design projects in Electronics, Signal Processing and Communications.
I have used the Windows operating system and Microsoft Office components (Word, Excel, and PowerPoint) since 1994. I can help you generate and format documents, and with moving data and content between Microsoft and other applications. I can show you how to monitor and control what is running on your machine using the registry and how to find what you may think is lost data.
I have been a university instructor in electrical engineering, computer science and electronics. I have 21 undergraduate semester credit hours in mathematics and 17 graduate semester credit hours. My undergrad course work consisted of three Calculus courses, differential equation, advanced engineering math, and engineering statistics. Graduate math courses were in partial differential equations, discrete math, theory of probability, stochastic processes, linear algebra and introductory analysis.
Content of LINEAR ALGEBRA course focuses on arithmetic of vectors (rows or columns of numbers)and matrices (rows or columns of vectors and application of the same in expression of data sets in terms of basis functions sets and coefficients, separation of mixtures in to orthogonal components. Covers dot products, cross products, decompositions, projections. Course provides prerequisite material for digital filtering, stochatic signal processing, statistical signal analysis, detection and estimation theory, data reduction, image processing and scientific programming tasks. Used techniques for years before I took the class to denoise data and do feature extraction for research projects in academic and corporate research settings.
MATLAB automates many of the techniques taught in this course with complex number data types built-in functions for matrix arithmetic.
I have used Matlab since the early 1990's; I wrote and maintained a personal library of several hundred M-files for signal processing and communications.
I personally have used the Digital Signal Processing, Communications, Artificail Neural Network Toolboxes and find them helpful in getting projects started. The real value in Matlab (IMO) is in the Graphics capabilities, native matrix algebraic manipulations, and the ability to import and manipulate data from external sources, and its extensibility.
Introductory courses in physics are generally concerned with mathematical descriptions of how forces (such as sound, gravity, electricity, magnetism) and objects (that are large enough to see) interact with each other. While numbers can help us with this sort of thing, the truth is clearly expressed by symbolic relationships and rules we learn about in algebra, trigonometry, and calculus.
First, I show you how to use your textbook to study using the index and table of contents, end of the chapter summaries, definitions, problem sets, and 'Easter Eggs' hidden by every author in every chapter.
Then, I show you how to constantly check your own work for mistakes and conceptual errors using dimensional analysis.
I also show you how to prepare to read the chapters for maximum retention and how to know what to listen for in class and take notes.
I will cover arithmetic short cuts, principles of algebra (rules for manipulating equations, finding solutions to individual equations, systems of linear equations, polynomial equations), developing solutions to word problems, quantitative comparison, interpretation of graphs and charts. I will show how to develop graphical solutions and solve inequalities; also show how dimensional analysis guarantees correct answers.
Most importantly I will teach you how to guess less, the SAT penalizes guessing.
For an electrical or mechanical engineer trigonometry is the foundation for understanding the periodic components of the "signals and waveforms" that are the focus of data analysis, communications and control applications. My approach is to start with application based examples so the student is dealing with something concrete rather than abstract ideas. I have nine years experience using this material as a full-time university instructor and over twenty year's earning a living as defense contractor.