What does going out for dinner, mowing the lawn, buying a car, or decorating your home, planning a holiday have in common? Yes absolutely its math’s. *Mathematical*, *reasonable and logical *thinking play a part in each of these daily actions, and in many others. It’s almost impossible to conclude a day without using math’s in some or the other way, since our world is full of numbers to handle and problems to solve. A good understanding of math’s is important for making logic of all the numbers and problems life throws at us.**Mathematics** is universally defined as the study of patterns of structure, change, and space. Mathematics has played and continues to play a critical role in expanding fields of science and technology because of its basic requirement that research needs to be able to calculate and precisely value the results of changes/advances. Mathematical formulas may be applied to test the operational and functional soundness, thus saving money and untold time.

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- New types of numbers such as integers, decimals, fractions and negative numbers
- Factorization of natural numbers
- Basics of equations, including rules for invariant manipulation of equations
- Evaluation of natural number arithmetic
- Simple (integer) roots and powers
- Properties of operations (associativity, distributivity etc.)
- Variables and exponentiation
- Rules of evaluation of expressions, operator precedence and use of parentheses

Algebra 1 is in high school and guides through expressions, systems of equations, functions, real numbers, polynomials, inequalities, exponents, radical and rational expressions.

Algebra 2 guides through linear equations, inequalities, matrices, graphs, polynomials and radical expressions, functions, quadratic equations, exponential and logarithmic expressions, sequences and series, probability and trigonometry.

Pre-calculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others.

- Vectors
- Matrices
- Parametric Equations
- Imaginary and Complex Numbers
- Probability and Combinatorics
- Sequences, series and induction
- Hyperbolic functions
- Limits
- Fraction Expansion

- Differential Calculus cuts something into small pieces to find how it changes.

- Integral Calculus joins (integrates) the small pieces together to find how much there is.

- Limits
- Derivative
- Antiderivative/Indefinite integral
- Sequence, series, and function approximation
- Integral Calculus
- Differential Calculus

- Angles, Triangles and right triangles
- Intersecting lines
- Perimeter, area and volume
- Circles
- Quadrilaterals
- Analytic geometry
- Geometric constructions

- Basic Trigonometry
- Graphs of Trigonometry functions
- Trigonometry identities and examples
- Unit Circle Definitions of Trig Functions
- Law of sines, cosines, tangents, cotangents

Probability is the coincidental that something will happen - how probable it is that some occurrence will happen.

**Topics under Probability are:**

The mathematics of the collection, organization, and interpretation of numerical data, particularly the analysis of population features by inference from sampling, is known as Statistics. Since much of the data we use when determining probable outcomes come from our understanding of statistics.- Independent and dependent Events
- Probability and Combinations
- Binomial Distribution
- Central Limit Theorem
- Normal Distribution
- Chi-Squared Test
- Conditional Probability
- Poisson Distribution
- Correlation Coefficient
- Uniform Distribution
- Variance

- Inferential Statistics
- Describing and displaying data
- Experiments and sampling
- Linear regression and correlation
- Mean, Median, Mode and Range

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