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  2. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    Mathematics is a field of study that discovers and organizes abstract objects, methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures ...

  3. Modular arithmetic - Wikipedia

    en.wikipedia.org/wiki/Modular_arithmetic

    Adding 4 hours to 9 o'clock gives 1 o'clock, since 13 is congruent to 1 modulo 12. In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a certain value, called the modulus. The modern approach to modular arithmetic was developed by Carl Friedrich Gauss in his book Disquisitiones ...

  4. Lists of mathematics topics - Wikipedia

    en.wikipedia.org/wiki/Lists_of_mathematics_topics

    Basic mathematics. This branch is typically taught in secondary education or in the first year of university. Outline of arithmetic. Outline of discrete mathematics. List of calculus topics. List of geometry topics. Outline of geometry. List of trigonometry topics. Outline of trigonometry.

  5. Elementary mathematics - Wikipedia

    en.wikipedia.org/wiki/Elementary_mathematics

    Elementary mathematics, also known as primary or secondary school mathematics, is the study of mathematics topics that are commonly taught at the primary or secondary school levels around the world. It includes a wide range of mathematical concepts and skills, including number sense, algebra, geometry, measurement, and data analysis.

  6. Mathematics education in the United States - Wikipedia

    en.wikipedia.org/wiki/Mathematics_education_in...

    In the United States, mathematics curriculum in elementary and middle school is integrated, while in high school it traditionally has been separated by topic, with each topic usually lasting for the whole school year. However, some districts have integrated curricula, or decided to try integrated curricula after Common Core was adopted.

  7. Seventh grade - Wikipedia

    en.wikipedia.org/wiki/Seventh_grade

    In India, seventh grade is known as Class 7. Class 7 is the second year in middle school. Pupils aged 12 to 13 attend class 7. Students are introduced to more complex mathematics and science among other subjects. In most schools, social studies is divided into history, civics and geography at this stage. Seventh class is the second last class ...

  8. Category (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Category_(mathematics)

    Category (mathematics) This is a category with a collection of objects A, B, C and collection of morphisms denoted f, g, g ∘ f, and the loops are the identity arrows. This category is typically denoted by a boldface 3. In mathematics, a category (sometimes called an abstract category to distinguish it from a concrete category) is a collection ...

  9. Measure (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Measure_(mathematics)

    Measure (mathematics) Informally, a measure has the property of being monotone in the sense that if is a subset of the measure of is less than or equal to the measure of Furthermore, the measure of the empty set is required to be 0. A simple example is a volume (how big an object occupies a space) as a measure.

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