Elementary students require a strong foundation in mathematics to ensure success in future courses. HYE Tutors offers private math tutoring that covers basic concepts and core principles that will be instrumental in higher-level mathematics. It is both in a guardian’s and child’s best interest to master these concepts at an early age to assess which areas of mathematics a student struggles with the most.

Middle school students are preparing for high school mathematics and the various paths this subject area can take them. Whether middle schoolers are busy mastering the concepts in Pre-Algebra or advancing to Algebra 1, it is crucial for them to develop a solid foundation in basic geometric and algebraic principles.

Although high schoolers vary in their knowledge of mathematics, every student requires the same mathematical foundation to excel in college-level courses, Advanced Placement exams, and standardized tests. Whether students begin high school with Pre-Algebra or Algebra 1, it’s crucial for them to develop a solid foundation in basic geometric and algebraic principles before advancing to Pre-Calculus.

Algebra is a branch of mathematics that uses symbols called variables to represent different quantities, as well as various formulas that manipulate these symbols. Algebraic formulas and equations demonstrate the relationships between said variables,  and vary in complexity as students progress to higher levels of mathematics.

Geometry is one of the oldest branches of mathematics, and regularly appears throughout a student’s studies from elementary school to higher education. This area focuses on the properties of shapes, size, distance, dimensions, and positions of angles. Geometry is usually studied in high school education, specifically in the 10th grade.

Precalculus is a collection of topics that cover concepts in algebra, trigonometry, and geometry to prepare students for studying calculus. This course generally appears in the final two years of high school. Precalculus is particularly important for students planning on studying quantitative data in higher education and future careers, therefore making it a valuable subject to master.

Calculus is a branch of mathematics that covers the changes between different values that are related to each other by a function. Often attributed with Sir Isaac Newton’s studies, this area of mathematics applies to a wide range of industries and modern technologies. This ultimately makes calculus an important subject for students interested in entering fields that deal with quantitative data.

Statistics is a discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. Historically detected by Eastern mathematicians and cryptographers, statistics made its way to Europe in the 17th century, where it broadened to include the collection and analysis of data in general.

Linear algebra is an area of mathematics that focuses on linear equations, linear maps, and how they are represented through matrices and vector spaces. As a central component to most mathematics, linear algebra is commonly found in the first or second year of college or university education.

Differential equations relate one or more mathematical functions and their derivatives. With functions representing quantities and derivatives representing rates of change, differential equations ultimately tell us the relationship between the two. Due to their complex nature, solving differential equations usually results in approximations rather than exact solutions.

Analysis is a branch of mathematics that studies continuous change via processes like limits, integration, and differentiation. As a field of study that derives from calculus, mathematical analysis has several branches including differential equations and real, complex, and functional analysis. Students will encounter analysis when studying the physical sciences such as quantum mechanics, classical mechanics, and relativity.

Discrete math is a branch of mathematics that studies countable mathematical structures. These include structures such as graphs, combinations, integers, and logical statements. Discrete math is also characterized by its use of countable sets, which can be either finite or infinite. Studies surrounding this branch of mathematics have grown substantially after the development of computer software which operates in discrete steps.