# User:Harish k87/Books/IB Diploma Mathematics

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## IB Diploma Mathematics

Number and Algebra
Sequence
Series (mathematics)
Summation
Arithmetic progression
Geometric progression
Geometric series
Exponentiation
Logarithm
Binomial theorem
Mathematical induction
Complex number
De Moivre's formula
Properties of polynomial roots
Complex conjugate root theorem
Functions and Equations
Function (mathematics)
Domain of a function
Range (mathematics)
Codomain
Graphing calculator
Transformation (function)
Cartesian coordinate system
Translation (geometry)
Reflection (mathematics)
Multiplicative inverse
Inverse function
Polynomial
Factor theorem
Polynomial remainder theorem
Exponential function
Exponential decay
Exponential growth
Circular Functions and Trignometry
Circle
Circular sector
Trigonometry
Trigonometric functions
List of trigonometric identities
Vector Geometry
Euclidean vector
Dot product
Cross product
Line (geometry)
Plane (geometry)
Line-line intersection
Line-plane intersection
Distance from a point to a line
Distance between two straight lines
Matrices and Transformations
Matrix (mathematics)
Matrix multiplication
Invertible matrix
Linear map
Transformation matrix
System of linear equations
Statistics
Population statistics
Frequency distribution
Central tendency
Sample mean and sample covariance
Median
Sample (statistics)
Grouped data
Cumulative frequency analysis
Statistical dispersion
Range (statistics)
Quartile
Percentile
Interquartile range
Standard deviation
Variance
Probability
Sample space
Event (probability theory)
Mutually exclusive events
Conditional probability
Probability
Rule of product
Permutation
Combination
Probability distribution
Binomial distribution
Expected value
Normal distribution
Calculus
Limit (mathematics)
Limit of a function
Derivative
Differentiation rules
Differential calculus
Maxima and minima
First derivative test
Second derivative test
Fundamental theorem of calculus
Integral
Integration by substitution
Integration by parts
Lists of integrals
Partial fraction decomposition
Trigonometric substitution
Order of integration (calculus)
Integration by reduction formulae
Ordinary differential equation