# Articles

Instruction in mathematics includes calculations as well as math problem solving.

Students learn addition, subtraction, multiplication, and division as well as fractions, decimals, percent, time, and measurement. Advanced mathematics is also taught such as Algebra I and II, Geometry, Trigonometry, Calculus, Chemistry, Statistics, and Business Math. Students learn to apply mathematic knowledge to more complex concepts and problems. Math tutoring is offered in the following areas:

#### Pre-Algebra:

- Operations with signed numbers
- Decimals, percents, fractions
- Cartesian coordinate system

#### Algebra:

- Solving algebraic equations and inequalities (including quadratic equations and quadratic formula)
- Functions and their graphs
- Systems of equations
- Polynomials and polynomial equations
- Factoring (including Binomial Theorem)
- Powers, roots, and complex numbers
- Polynomial functions

#### Geometry:

- Euclid’s postulates and proving theorems
- Angles, lines, and geometric figures (polygons)
- Mathematical Induction

#### Pre-Calculus:

- Exponential and Logarithmic functions
- Matrices and Determinants
- Sequences and Series
- Probability Theory and Data Analysis
- Trigonometric functions and their identities and graphs

#### Calculus:

- Limits and Derivatives, and their applications (1-, 2-, and 3-dimensional)
- Integrals and their applications (1-, 2-, and 3-dimensional)
- Sequences and Series
- Vectors and Parametric equations
- Conic Sections

### College level Math Classes:

#### Linear Algebra:

- Matrices, Vectors, Tensors (Matrix equations)
- Inverse Matrices - Solving Systems of Equations – Cramer’s Rule
- Determinants and Gaussian Reduction