List of video explanation topics

Algebra

Algebra is the study of expressions, equations, and the rules for manipulating them. This topic walks through the core ideas used across school mathematics.

Arithmetic

Arithmetic covers the basic operations on numbers: addition, subtraction, multiplication, and division. This topic reviews the rules students use every day.

Combinatorics

Combinatorics is the mathematics of counting. This topic covers permutations, combinations, and the basic counting principles.

Complex Numbers

Complex numbers extend the real numbers with the imaginary unit. This topic covers their form, the complex plane, and basic operations.

Derivatives

Derivatives measure how a function changes. This topic covers the definition, derivative rules, and tangent lines.

Division

Division splits a quantity into equal parts. This topic covers division facts, remainders, and how division connects to multiplication.

Financial Mathematics

Financial mathematics applies percentages and interest to real money problems. This topic covers simple and compound interest and related calculations.

Functions

Functions pair each input with exactly one output. This topic covers function notation, domain and range, and graphs.

Integrals

Integrals measure accumulated change and the area under a curve. This topic covers antiderivatives, definite integrals, and the main rules used in calculus.

Limits

Limits describe the value a function approaches as its input approaches a point. This topic introduces limit rules and continuity.

Logarithms

Logarithms are the inverse of exponential functions. This topic covers log rules and how to solve exponential equations.

Natural and Whole Numbers (Integers)

Natural and whole numbers, including integers, are the counting numbers and their negatives. This topic covers the number line and basic properties.

Plane Geometry

Plane geometry studies shapes in two dimensions. This topic covers points, lines, angles, triangles, and circles.

Polynomials

Polynomials are algebraic expressions made of terms with coefficients and a variable raised to an integer power. This topic covers their structure, basic operations, and uses in algebra.

Rational Function

A rational function is a quotient of two polynomials. This topic covers domains, asymptotes, and how these functions behave.

Rational Numbers

Rational numbers are numbers that can be written as a fraction of two integers. This topic covers fractions, decimals, and how to compare them.

Real Numbers

Real numbers include rationals and irrationals on the number line. This topic explains the sets of numbers and how they fit together.

Sequences

Sequences are ordered lists of numbers. This topic covers arithmetic and geometric sequences and how their terms are built.

Trigonometry

Trigonometry relates angles and side lengths in triangles. This topic covers sine, cosine, tangent, and the unit circle.

Vectors

Vectors have both magnitude and direction. This topic covers components, addition, and how vectors are used in geometry.