ACE Class Report # 84 : Mathematics.
Begin: 1/8/2025
Finish: 3/20/2025
Title: Mathematics.
Instructor: Drew Henry.
Why I choose to take this class:
To learn more about Mathematics, branches of mathematics and its applications to daily life.
What I learned from this class:
Mathematics is one of the most useful and fascinating divisions of human knowledge. It includes many topics of study. The term Mathematics is difficult to define, it comes from a Greek word meaning ” inclined to learn.” Most of basic mathematics taught in school involves study of number, quantity, form and relations. Arithmetics – concerns problems with numbers. Algebra involves solving equations in which letters represent unknown quantities. Geometry concerns the properties and relationships of figures in space. The most important skills in mathematics are careful analysis and clear reasoning. Mathematics is based upon logic. Starting from widely accepted statements, mathematicians us logic to draw conclusions and develop mathematical systems.
The Importance of Mathematics:
The work of mathematicians may be divided into pure mathematics and applied mathematics. Pure mathematics seeks to advance mathematical knowledge from its own sake rather than for any immediate practical use. Applied mathematics seeks to develop mathematical techniques for use in Science and other fields. The boundary between pure and applied mathematics is not always clear. Ideas developed in pure mathematics have practical applications, and work in applied mathematics frequently leads to research in pure mathematics. Mathematics is used in everyday life, in science, industry and in business.
Branches of Mathematics:
Mathematics has many branches. They may differ in the types of problems involved and practical application of their results.
Arithmetic – study of whole numbers, fractions, decimals an operations of addition, subtraction, multiplication and division. Provides basic skill as counting, grouping objects and measuring and comparing quantities.
Algebra – study involves solving problems with equations. Algebraic operations also use negative numbers and imaginary numbers (the square root of a negative numbers).
Geometry – concerned with the properties and relationship of figures in space. Plane geometry deals with square, circle and other figures that lie on a plane. Solid geometry involves such figures as cubes and spheres, which have three dimensions.
Analytic Geometry and Trigonometry – analytic geometry relates algebra and geometry. It provides a way to represent an algebraic equation as a line or a curve on a graph, i.e. parabola.
Trigonometry is used widely by astronomers, navigators and surveyors to calculate angles and distances and analysis – have many practical uses in engineering, physics and other sciences.
Calculus – provides a way of solving many problems that involves motion to changing quantifies. Differential calculus seeks to determine the rate at which varying quantity changes. Integral calculus tries to find a quantity when the rate at which it is changing is known.
Probability and Statistics – Probability is the mathematical study of the likely hood of events. It is used to determine the changes that an uncertain event may occur.
Statistics is the branch of mathematics concerned with the collection and analysis of large bodies of data to identify trends and overall patterns. Statistics relies heavily on probability.
Set Theory and Logic – deals with the nature and relations of sets. The study of sets is to investigate most basic mathematical concepts.
In the field of logic – the branch of philosophy that deals with the rules of correct reasoning. Mathematicians have devised various systems of symbolic logic that have been important in development of computers.
How will this class contribute to my success upon release:
Knowledge of mathematics is helpful when I teach students GED mathematics. Understanding the various branches of mathematics will help me teach math to students effectively. This knowledge will be conveyed to students when I volunteer my teaching, tutoring and mentoring services.
