Troy Algebra Tutors can help students study in a one-on-one learning environment. They can review homework or help prepare for an exam. They can also help students develop strong study habits.
Some online tutoring services offer flexible hours and pay-as-you-go plans, while others provide a full range of academic resources. Learner offers a streamlined process for selecting a tutor and has a robust virtual learning platform.
Often the first high school math course students take, Algebra 1 introduces students to variables and number symbols that represent mathematical concepts like equations and inequalities. This is the foundational math course that helps students develop a fundamental command of algebra topics and prepares them for more advanced courses like geometry and calculus.
Teachers say that routines core to their instruction, such as repeated practice and checking for understanding, can be harder to do with virtual learners. And that means that students who don’t grasp the basics may have a hard time keeping up when the class moves on to algebra topics like polynomials and radicals.
Experts recommend targeted tutoring support for students who need it, rather than remediation — which can be demotivating and push students who struggle to grade-level content even further behind. To help your student get the most out of tutoring sessions, make sure they’re in a quiet place and free of distractions (turn off televisions, phones, music, etc.).
As the name implies, Algebra 2 is an extension of the fundamental concepts introduced in algebra 1. It builds on some topics from previous math classes like geometry and introduces new topics like functions. Students learn how to simplify rational exponents, solve linear and quadratic equations, and graph complex exponential and logarithmic functions. They also learn how to model real world problems using growth and decay models.
In addition, students explore polynomial equations and functions to build a strong foundation for the study of rational functions, trigonometric functions, and sequences and series. This course will help to prepare students for future courses in calculus, physics, and biology.
Many students find Algebra 2 to be difficult because it often builds on the basics that they learned in their previous math classes, including Algebra 1, and introduces new topics that are more abstract than concrete. However, the class can be made easier by working extra practice, staying up to date with homework, and seeking out online resources that can help reinforce concepts.
The study of Abstract Algebra is a branch of mathematics that focuses on the algebraic structure of various sets rather than their individual elements. It includes advanced topics such as groups, rings, fields, modules, and vector spaces. Mathematicians specializing in this subject are called algebraists.
Like other branches of algebra, it incorporates concepts from set theory and algebraic structures such as permutation groups and composition series in group theory; polynomial rings and ideals in ring theory; and Galois theory in field theory. In addition, it involves the study of algebraic operations in vector spaces such as linear transformations and matrices.
Students who learn Abstract Algebra face unique challenges that can be difficult to understand, even for the most seasoned student. The goal of tutoring sessions with Troy Algebra Tutors is to help students develop their understanding of this subject and how it intersects with other subjects, such as Linear Algebra. A recent article by Durand-Guerrier, Hausberger, and Spitalas highlights the role of research on learning Abstract Algebra, focusing specifically on students’ understanding and use of mathematical definitions.
Trigonometry is a branch of mathematics that deals with the relationships between sides and angles of right-angled triangles. It provides the formulas, functions, and identities to find missing or unknown angles or sides of a given triangle.
The word “trigonometry” is derived from the Greek words for triangle and measure (trigonon and metron). It emerged in the Hellenistic world around the 3rd century BCE, from applications of geometry to astronomical studies.
There are six basic trigonometric functions that can be applied to a given angle: sine (sin), cosine (cos), tangent (tan), secant (sec), and cosecant (csc). The value of each function depends on the length of the opposite side of the triangle, or hypotenuse. Each of these ratios are used in a variety of ways in science, engineering, and video games to help answer questions that would be impossible to find using other methods. The most common application is finding the height of a tree from its base, or distance from the ground to the top of the tree.