Students who earn an online degree in math can expect to gain knowledge in areas including algebra, analysis, geometry, number theory, and statistical mathematics. Online classes for math will also facilitate the acquisition of various skills including logical thinking, oral and written communication, computer programming, data analysis, and problem solving.
Online Math Classes
Mathematics is the systematic study of quantity, structure, space, and change. Students who study the subject are often interested in careers that require a lot of quantitative research, problem solving using mathematical equations, and evaluation of data.
Online courses will teach students a variety of subjects in the field, including:
Students will study algebraic laws that govern numbers, polynomials, matrices, and permutations. Other areas of study include solving first-degree equations, writing and graphing linear equations, solving linear inequalities and quadratics, working with radicals, as well as exploring relations and functions.
Online courses in analysis give students the opportunity to learn about continuously changing quantities that form the basis of calculus. Emphasis is placed on integral calculus, which focuses on the measurement of lengths, areas, volumes, and other quantities as limits, as well as differential calculus, which involves derivatives.
Courses in geometry teach students about shapes and configurations and emphasize the use of inductive and deductive reasoning. Students study points, segments, triangles, polygons, circles, and solid figures and learn to classify spaces in various mathematical concepts.
Courses in number theory teach students about properties of integers and rational numbers. Students learn about unique factorization and the Greatest Common Divisor (GCD), quadratic residues, number-theoretic functions, and the distribution of primes, sums of squares, the Euclidean algorithm, and congruence equations.
Courses in statistics teach probability and the theory of sampling. Students are exposed to frequency and probability distributions, regression and correlation, analysis of variance and covariance, and bivariate distributions.
Math classes help students develop valuable skills in the following areas:
Students will develop the skills to think clearly and use reasoning to solve problems. As students become more proficient in logic, they will be able to find their solutions through pattern recognition.
Oral and Written Communication
Students will learn how to write up statistical reports as well as present their findings to their peers in presentations and written papers.
Students will develop a proficiency in computer programming so that they can write clean and modular source codes. Classes will train students to address fundamental issues involved in the creation of new algorithms as well as develop applications for computer graphics.
Students can expect to build their skills by investigating the different ways to organize and represent data and describe and analyze variation in the data. Through practical examples, students will also learn about the concepts of association between two variables, probability, random sampling, and estimation.
Students will develop analytical thinking skills, quantitative reasoning skills, and an ability to excel in a problem-solving environment. Working with large quantities of data, students will learn how to design and conduct experiments, formulate theories, and apply them to solve problems.
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