Algebra (all content)
Algebra is a branch of mathematics that deals with symbols and the rules for manipulating these symbols. It encompasses various concepts, including variables, equations, functions, and expressions. Fundamental operations like addition, subtraction, multiplication, and division extend to these symbols. Key topics include linear equations, quadratic equations, polynomials, and inequalities. Algebra also focuses on solving problems and modeling real-world situations. Advanced branches, such as abstract algebra, explore structures like groups, rings, and fields. Algebra serves as a foundational tool in mathematics, enabling the formulation of algorithms, the analysis of relationships, and the development of critical thinking skills essential for various scientific fields.
Solving basic equations & inequalities (one variable, linear)
Linear equations, functions, & graphs
Sequences
System of equations
Two-variable inequalities
Functions
Absolute value equations, functions, & inequalities
Quadratic equations & functions
Polynomial expressions, equations, & functions
Exponential & logarithmic functions
Radical equations & functions
Rational expressions, equations, & functions
Trigonometric functions
Algebraic modeling
Complex numbers
Conic sections
Series & induction
Vectors
Matrices