Single-variable calculus

Single-variable calculus, also called calculus of one variable or calculus, is a topic within mathematics that has wide applications both within and outside mathematics. It builds on knowledge of algebra, trigonometry, and functions (sometimes collectively called precalculus). The material is typically covered in either late high school or early college. Typical follow-up courses to single-variable calculus are multivariable calculus and linear algebra.

Components

The following are the major components of single-variable calculus:

• Limits: Conceptual (typically covered only at college level) and computational
• Differential calculus: Conceptual and computation
• Integral calculus
• Sequences and series, including Taylor series and power series: These topics are typically covered as part of a calculus course even though they are somewhat removed from the themes of differentiation and integration.

Learning calculus

See our single-variable calculus learning recommendations for recommendations on learning calculus.