# Types of Mathematics

Algebra Algebra is a branch of mathematics that substitutes letters for numbers, and an algebraic equation represents a scale where what is done on one side of the scale is also done to the other side of the scale and the numbers act as constants.

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Algebra 1 Algebra 1 is the second math course in high school and will guide you through among other things expressions, systems of equations, functions, real numbers, inequalities, exponents, polynomials, radical and rational expressions.

Algebra 2/Trigonometry Algebra 2 is the third math course in high school and will guide you through among other things linear equations, inequalities, graphs, matrices, polynomials and radical expressions, quadratic equations, functions, exponential and logarithmic expressions, sequences and series, probability and trigonometry.

Analysis Mathematical analysis is the branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series, and analytic functions. These theories are usually studied in the context of real and complex numbers and functions.

Arithmetic (1) the branch of mathematics that deals with addition, subtraction, multiplication, and division, (2) the use of numbers in calculations math·e·mat·ics (1) the study of the relationships among numbers, shapes, and quantities, (2) it uses signs, symbols, and proofs and includes arithmetic, algebra, calculus, geometry, and trigonometry.

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Calculus Calculus is a part of modern mathematics education. A course in calculus is a gateway to other, more advanced courses in mathematics devoted to the study of functions and limits, broadly called mathematical analysis.

Calculus and Analysis Calculus refers to a field of mathematics, originally created by Newton and Leibnitz, independently. When studying calculus, you normally start with single variable Calculus, then move toward multivariable calculus. The next part is Real analysis, which is the study of the theory behind Calculus.

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Combinatorics Combinatorics is well known for the breadth of the problems it tackles. Combinatorial problems arise in many areas of pure mathematics, notably in algebra, probability theory, topology, and geometry, as well as in its many application areas.

Computational Sciences The primary emphasis in any of the computational sciences is the solution to a problem and development of useful computational tools rather than the proof of a theorem. The need for these programs, as part of STEM (Science, Technology, Engineering and Mathematics) education has been recognized by several influential groups.

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Dynamical Systems and Differential Equations Dynamical systems is the branch of mathematics devoted to the study of systems governed by a consistent set of laws over time such as difference and differential equations.

Foundations Foundations of mathematics is the study of the philosophical and logical and/or algorithmic basis of mathematics, or, in a broader sense, the mathematical investigation of what underlies the philosophical theories concerning the nature of mathematics.

Geometry Geometry, the branch of mathematics concerned with the shape of individual objects, spatial relationships among various objects, and the properties of surrounding space.

Geometry and Topology Topology is almost the most basic form of geometry there is. It is used in nearly all branches of mathematics in one form or another. There is an even more basic form of geometry called homotopy theory, which is what I actually study most of the time. We use topology to describe homotopy, but in homotopy theory we allow so many different ...

Linear Linear algebra is the branch of mathematics concerning linear equations such as + ⋯ + =, linear functions such as (, …,) ↦ + … +,and their representations through matrices and vector spaces.

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Logarithmic A logarithm is the power to which a number must be raised in order to get some other number (see Section 3 of this Math Review for more about exponents). For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100:

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Logic Mathematical logic is a subfield of mathematics exploring the applications of formal logic to mathematics. It bears close connections to metamathematics, the foundations of mathematics, and theoretical computer science.

Mathematical Physics Applied mathematics is any mathematics that can be applied to problems in other fields, wrt physics this is the math used to solve physics problems. Focus is solely on the math. Focus is solely on the math.

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Number Theory Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers. It is sometimes called "The Queen of Mathematics" because of its foundational place in the discipline.

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Polynomial You can also divide polynomials (but the result may not be a polynomial). Degree. The degree of a polynomial with only one variable is the largest exponent of that variable.

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Power Math explained in easy language, plus puzzles, games, quizzes, videos and worksheets. For K-12 kids, teachers and parents.

Pre-Calculus In mathematics education, precalculus is a course that includes algebra and trigonometry at a level which is designed to prepare students for the study of calculus. Schools often distinguish between algebra and trigonometry as two separate parts of the coursework.

Probability and Statistics Statistics and Probability Statistics and probability are sections of mathematics that deal with data collection and analysis. Probability is the study of chance and is a very fundamental subject that we apply in everyday living, while statistics is more concerned with how we handle data using different analysis techniques and collection methods.

source: wyzant.com Quadratic Equations. An example of a Quadratic Equation:. Quadratic Equations make nice curves, like this one: Name

Rational The ancient greek mathematician Pythagoras believed that all numbers were rational, but one of his students Hippasus proved (using geometry, it is thought) that you could not write the square root of 2 as a fraction, and so it was irrational.

Sinusoidal Sine, Cosine and Tangent (often shortened to sin, cos and tan) are each a ratio of sides of a right angled triangle: For a given angle ...