Algebra 1
[Algebra 1] An introduction and familiarization with the following topics, where we will cover:
1. Number Theory
2. Operations
3. Variables and Expressions
4. Equations and Inequalities
5. Patterns, Functions, and Relations
6. Trigonometric Functions
7. Coordinate Geometry
8. Shapes
9. Measurement
10. Working with Data
11. Probability
Algebra 2
[Algebra 2] Focus is placed on familiarization with the following topics, where we will cover:
1. Operations
2. Variables and Expressions
3. Equations and Inequalities
4. Patterns, Functions, and Relations
5. Coordinate Geometry
6. Trigonometric Functions
7. Measurement
8. Statistics and Probability
Calculus
In Calculus we explore the world of counting/measurement as we cover topics such as:
1. Functions
2. Limits
3. Derivatives and their applications
4. Integrals and their applications
5. Proofs addressing concepts of Calculus
Geometry
Topics that we will cover together are:
1. Geometric Relationships
a. Lines and Planes
b. Prisms, Pyramids, Cylinders, Cones, Spheres, Platonic Solids
c. Polygons - Interior and Exterior Angles
2. Constructions
a. Constructions: Copy, Bisect, Perpendicular, Parallel, Isosceles, Equilateral
b. Concurrence of Medians, Altitudes, Angle Bisectors, Perpendicular Bisectors *
3. Locus
a. The Basic Locus Theorems
b. Compound...
Read More
Prealgebra
We will cover topics such as:
1. Number Theory
• Properties of Real Numbers
2. Operations
• Radicals
• Scientific Notation
• Fractions, Percents, Ratios, Proportions
• Direct/Indirect Variation
• Exponents (Powers)
• Factorials
• Absolute value
• Rational and Irrational Numbers
• Order of Operations
• Signed Numbers
Precalculus
We will focus on the following topics:
1. Functions
2. Inverse Functions
3. Trigonometric Functions
4. Solving Trigonometric Equations
5. Exponential Functions
6. Logarithmic Functions
7. Solving Exponential and Logarithm Equations
8. Common Graphs
Trigonometry
[Trigonometry] Focus is placed on familiarization with the following topics, where we will cover:
1. Operations
2. Variables and Expressions
3. Equations and Inequalities
4. Patterns, Functions, and Relations
5. Coordinate Geometry
6. Trigonometric Functions
7. Measurement
8. Statistics and Probability
Statistics
A survey of data analysis, probability theory, and statistics. Stem and leaf displays, box plots, schematic plots, fitting straight line relationships, discrete and continuous probability distributions, conditional distributions, binomial distribution, normal and t distributions, confidence intervals, and significance tests.
SAT Math
In preparation for SAT Math questions, we will focus on:
1. Number and Operations:
- Arithmetic word problems (including percent, ratio, and proportion)
- Properties of integers (even, odd, prime numbers, divisibility, etc.)
- Rational numbers
- Sets (union, intersection, elements)
- Counting techniques
- Sequences and series (including exponential growth)
- Elementary number theory
2. Algebra and Functions
- Substitution and...
Read More
GRE
We will focus our attention on the following areas of study:
1. Arithmetic topics that include properties and types of integers, such as divisibility, factorization, prime numbers, remainders and odd and even integers; arithmetic operations, exponents and roots; and concepts such as estimation, percent, ratio, rate, absolute value, the number line, decimal representation and sequences of numbers.
2. Algebra topics that include operations with exponents; factoring and simplifying...
Read More
GMAT
We will focus on the Quantitative-based sections of the GMAT which measures the ability to reason mathematically, solve mathematical problems, and interpret graphic data.
Problem-Solving and Data-Sufficiency questions found on the GMAT require knowledge of:
1. Arithmetic
2. Elementary algebra
3. Commonly known concepts of geometry
Problem-Solving questions are designed to test:
1. Basic mathematical skills
2. Understanding of...
Read More
Probability
We will place an emphasis on the following topics:
1. Probability spaces
2. Random variables
3. Moment generating functions
4. Algebra of expectations
5. Conditional and marginal distributions
6. Multivariate distributions
7. Order statistics
8. Law of large numbers.
ACT Math
In preparation for ACT Math questions, we will focus on:
1. Pre-Algebra: basic operations using whole numbers, decimals, fractions, and integers; place value; square roots and approximations; the concept of exponents; scientific notation; factors; ratio, proportion, and percent; linear equations in one variable; absolute value and ordering numbers by value; elementary counting techniques and simple probability; data collection, representation, and interpretation; and understanding simple...
Read More
C++
I have successfully completed coursework at Polytechnic Institute of NYU with an overall GPA of 4.00 out of 4.00. At Polytechnic Institute of NYU, the following coursework (pertaining to Computer Programming) was covered in detail: Introduction to Programming (C++), Data Structures and Algorithms (C++). Most importantly, I work professionally as a Software Engineer where I regularly use C++ to provide customized solutions to customers.
Computer Programming
I have successfully completed coursework at Polytechnic Institute of NYU with an overall GPA of 4.00 out of 4.00. At Polytechnic Institute of NYU, the following coursework (pertaining to Computer Programming) was covered in detail:
Introduction to Programming (C++)
Data Structures and Algorithms (C++)
In addition, I have successfully completed training courses, offered by Learning Tree International, in the following focus areas:
Java Programming:...
Read More
Linear Algebra
As an instructor (during graduate school) at Stony Brook University in the Department of Applied Mathematics and Statistics, I have:
1. Designed and led undergraduate lectures in Linear Algebra
2. Examined applications of Linear Algebra to engineering and business with my students
3. Fostered critical thinking of students during class time and during office hours
In the exploration of Linear Algebra we will introduce the theory and use of vectors and...
Read More
Regents
As a graduate of Oceanside High School, I successfully completed New York State Regents track courses in:
Mathematics
Science
History
English
Foreign Language Study (Italian)
I received my New York State Regents Diploma from Oceanside High School in June of 1999. Following receipt of my diploma, I have served as a tutor of mathematics where students of mine have successfully raised their scores a full letter grade.