Mathematics

Where to Move

Move chapter:

• ☰ Foundations of Mathematics
  • ☰ What Is Mathematics
    • ☰ Purpose of mathematics
    • ☰ Branches of mathematics
    • ☰ Mathematics in daily life
  • ☰ Mathematical Language
    • ☰ Symbols and notation
    • ☰ Variables and constants
    • ☰ Mathematical statements
  • ☰ Sets and Logic
    • ☰ Sets and elements
    • ☰ Set notation
    • ☰ Venn diagrams
    • ☰ Logical operators
  • ☰ Numbers and Number Systems
    • ☰ Natural numbers
    • ☰ Integers
    • ☰ Rational numbers
    • ☰ Irrational numbers
    • ☰ Real numbers
• ☰ Arithmetic
  • ☰ Basic Operations
    • ☰ Addition
    • ☰ Subtraction
    • ☰ Multiplication
    • ☰ Division
  • ☰ Fractions
    • ☰ Proper and improper fractions
    • ☰ Mixed numbers
    • ☰ Operations with fractions
  • ☰ Decimals and Percentages
    • ☰ Decimal notation
    • ☰ Fraction–decimal conversion
    • ☰ Percent calculations
  • ☰ Powers and Roots
    • ☰ Exponents
    • ☰ Square roots
    • ☰ Laws of exponents
  • ☰ Ratios and Proportions
    • ☰ Ratios
    • ☰ Proportions
    • ☰ Direct variation
    • ☰ Inverse variation
• ☰ Pre-Algebra
  • ☰ Variables and Expressions
    • ☰ Algebraic expressions
    • ☰ Evaluating expressions
  • ☰ Linear Equations
    • ☰ One-variable equations
    • ☰ Word problems
  • ☰ Inequalities
    • ☰ Solving inequalities
    • ☰ Graphing inequalities
  • ☰ Coordinate Plane
    • ☰ Cartesian coordinates
    • ☰ Plotting points
  • ☰ Introduction to Functions
    • ☰ Input–output concept
    • ☰ Function notation
• ☰ Algebra I
  • ☰ Linear Functions
    • ☰ Slope
    • ☰ Intercept form
    • ☰ Graphing lines
  • ☰ Systems of Linear Equations
    • ☰ Graphical method
    • ☰ Substitution
    • ☰ Elimination
    • ☰ Gaussian elimination
  • ☰ Polynomials
    • ☰ Polynomial terms
    • ☰ Polynomial operations
  • ☰ Factoring
    • ☰ Common factors
    • ☰ Quadratic factoring
    • ☰ Special products
  • ☰ Quadratic Equations
    • ☰ Factoring method
    • ☰ Completing the square
    • ☰ Quadratic formula
• ☰ Algebra II
  • ☰ Polynomial Functions
    • ☰ Degree and behavior
    • ☰ Zeros of functions
  • ☰ Rational Functions
    • ☰ Domain
    • ☰ Asymptotes
  • ☰ Exponential Functions
    • ☰ Growth
    • ☰ Decay
    • ☰ Applications
      • ☰ Physical models
      • ☰ Population models
      • ☰ Cryptography
  • ☰ Logarithms
    • ☰ Logarithmic laws
    • ☰ Solving equations
  • ☰ Complex Numbers
    • ☰ Imaginary unit
    • ☰ Operations with complex numbers
• ☰ Geometry
  • ☰ Points, Lines, and Angles
    • ☰ Angle types
    • ☰ Parallel and perpendicular lines
  • ☰ Triangles
    • ☰ Classification
    • ☰ Pythagorean theorem
    • ☰ Congruence
  • ☰ Polygons
    • ☰ Quadrilaterals
    • ☰ Regular polygons
  • ☰ Circles
    • ☰ Radius and diameter
    • ☰ Arcs and sectors
  • ☰ Area and Volume
    • ☰ Area formulas
    • ☰ Volume of solids
• ☰ Trigonometry
  • ☰ Angles and Radians
    • ☰ Degrees
    • ☰ Radians
  • ☰ Trigonometric Ratios
    • ☰ Sine
    • ☰ Cosine
    • ☰ Tangent
  • ☰ Unit Circle
    • ☰ Exact values
  • ☰ Trigonometric Functions
    • ☰ Graphs
    • ☰ Periodicity
  • ☰ Trigonometric Identities
    • ☰ Pythagorean identities
    • ☰ Sum and difference formulas
• ☰ Analytic Geometry
  • ☰ Conic Sections
    • ☰ Parabolas
    • ☰ Ellipses
    • ☰ Hyperbolas
  • ☰ Parametric Equations
    • ☰ Parametric curves
  • ☰ Polar Coordinates
    • ☰ Polar graphing
  • ☰ Vectors in the Plane
    • ☰ Vector addition
    • ☰ Dot product
• ☰ Precalculus
  • ☰ Function Analysis
    • ☰ Domain and range
    • ☰ Monotonicity
  • ☰ Composite and Inverse Functions
    • ☰ Function composition
    • ☰ Inverse functions
  • ☰ Limits
    • ☰ Intuitive idea
    • ☰ One-sided limits
• ☰ Calculus – Differential Calculus
  • ☰ Limits and Continuity
    • ☰ Formal limits
    • ☰ Continuity
  • ☰ Derivatives
    • ☰ Definition
    • ☰ Differentiation rules
  • ☰ Applications of Derivatives
    • ☰ Optimization
    • ☰ Related rates
    • ☰ Curve sketching
• ☰ Calculus – Integral Calculus
  • ☰ Indefinite Integrals
    • ☰ Antiderivatives
  • ☰ Definite Integrals
    • ☰ Riemann sums
    • ☰ Fundamental theorem of calculus
  • ☰ Applications of Integrals
    • ☰ Area
    • ☰ Volume
• ☰ Linear Algebra
  • ☰ Vectors and Matrices
    • ☰ Vector operations
    • ☰ Matrix operations
  • ☰ Determinants
    • ☰ Properties of determinants
  • ☰ Eigenvalues and Eigenvectors
    • ☰ Diagonalization
• ☰ Probability and Statistics
  • ☰ Probability Basics
    • ☰ Sample spaces
    • ☰ Events
  • ☰ Random Variables
    • ☰ Discrete variables
    • ☰ Continuous variables
  • ☰ Probability Distributions
    • ☰ Binomial distribution
    • ☰ Normal distribution
  • ☰ Descriptive Statistics
    • ☰ Mean
    • ☰ Variance
    • ☰ Standard deviation
  • ☰ Inferential Statistics
    • ☰ Confidence intervals
    • ☰ Hypothesis testing
• ☰ Discrete Mathematics
  • ☰ Logic and Proof
    • ☰ Propositions
    • ☰ Logical equivalence
  • ☰ Combinatorics
    • ☰ Permutations
    • ☰ Combinations
  • ☰ Graph Theory
    • ☰ Trees
• ☰ Differential Equations
  • ☰ First-Order Differential Equations
    • ☰ Separation of variables
  • ☰ Second-Order Differential Equations
    • ☰ Homogeneous equations
• ☰ Number Theory
  • ☰ Divisibility and Primes
    • ☰ Prime factorization
  • ☰ Modular Arithmetic
    • ☰ Congruences
• ☰ Mathematical Proofs
  • ☰ Proof Techniques
    • ☰ Direct proof
    • ☰ Proof by contradiction
    • ☰ Mathematical induction
  • ☰ Writing Proofs
    • ☰ Structure
    • ☰ Clarity