Logic and mathematics overview


What is Mathematics?

Mathematics (A word originated in Greek that means “knowledge, study, learning”), is the study of topics such as quantity (numbers), structure, space, and change.

Overview of mathematics

  • Basis of Mathematics is abstraction and logic.

  • Mathematics is developed from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects.

  • Mathematicians seek out patterns known as hypothesis or assumptions which are convinced to be true and use them to formulate new theorems (rules).

  • When mathematical structures are good models of real phenomena, then mathematical reasoning can provide insight or realistic predictions about nature.

  • Mathematics is considered as part of formal science and therefore, closely related to "logic".

Branches/areas of mathematics

  • Arithmetic
  • Algebra
  • Geometry
  • Sets theory
  • Probability & statistics
  • Calculus
  • Matrices
  • Vectors
  • Sequences & series
  • Applied maths (Business & Common)
  • Applied maths (Engineering)

Skills acquired by learning mathematics

  • A basic life skill for day to day living. (eg: counting, basic financial calculations, etc..)

  • Formal reasoning (logical thinking) as oppose to decisions based on faith or false logic.

  • Better real world decision making & predictions (eg: Use of probability and statistics.)

  • Help abstraction of ideas and concepts.

  • Improve pattern recognition and strategic decision making.

  • Help convey ideas precise & concise way.

  • Applications in science, engineering & business.

Knowledge/skills tested in maths exams

  • Knowledge on mathematical concepts/theorems.

  • Application of knowledge (in related science, engineering & business areas)

  • Logical thinking capacity

  • Problem solving capabilities

  • Ability to face challenges without fear

  • Come up with strategy and planning and formulating solutions

  • Ability to handle complexities

  • Can you recover from errors fast?

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