# Supported Math Content

## Numbers and quantity

• Operations with integers, fractions, mixed numbers, decimals, powers, roots and unit measurements
• Comparing integers, fractions, mixed numbers, decimals, powers, roots and unit measurements
• Converting fractions, mixed numbers, decimals, percentages and unit measurements
• Least common multiple of a number, greatest common factor, greatest common denominator
• Scientific notation

## Complex numbers

• Operations with complex numbers
• Real and imaginary parts, complex conjugate, reciprocal,  modulus, argument
• Complex numbers and midpoints in the complex plane
• Converting complex numbers between standard and polar form
• Equations with complex numbers

## Equations and inequalities

• Linear, quadratic, exponential, logarithmic, rational, radical (irrational), trigonometric, absolute value equations
• Systems of linear, quadratic, exponential, logarithmic, rational, radical (irrational), absolute value equations, equations with parameters
• Compound equations and inequalities
• Inequalities in set-builder or interval notation
• Literal and parametric equations

## Functions

• Operations with functions (addition, subtraction, multiplication, division, composition) and evaluation at a given point
• Graphs of linear, quadratic, exponential, logarithmic, rational, radical (irrational), trigonometric, and absolute value functions
• Roots, domain, extrema, inflection points, asymptotes
• Even/odd functions
• x- and y-intercepts
• Various transformations (standard form, implicit form, explicit form)
• Injective/one-to-one functions
• Inverse functions
• Testing for symmetry
• Axis of symmetry
• Tangent lines
• Evaluation and approximation of functions
• Converting between rectangular, polar, spherical, and cylindrical coordinates

## Algebra

• Simplifying, factoring, and evaluating algebraic expressions
• Partial-fraction decomposition
• Proportions
• Addition, subtraction, multiplication and division of polynomials
• Midpoint of a line segment
• Distance between two points
• Equation of a line and slope of a line, equation of an angle bisectorequation of an angle bisector
• Collinearity
• Equations of circles and conics
• Discriminant
• Perfect Square Trinomial
• Pascal's triangle, Binomial theorem, factorials, equations with factorials
• Combinations, permutations, and variations
• Mathematical induction
• Equation of a sphere
• Operations with matrices (addition, subtraction, multiplication, multiplication by a scalar, exponentiation, transpose)
• Inverse of a matrix
• Matrix identities
• Matrix equations
• Determinants
• Linear programming
• Distance between a point and a plane, and between a point and a line, between planes

## Vectors

• Drawing vectors
• Operations with vectors (addition, subtraction, dot product, scalar multiplication, cross product, scalar triple product)
• Component form and linear combination of vectors, initial and terminal point
• Magnitude of a vector
• Unit vector
• Angle between two vectors
• Equality of vectors
• Orthogonality of vectors
• Direction angle of a vector
• Vector equation of a line, in a plane or space
• Linear combination of vectors

## Geometry

• Classifying shapes
• Plotting 2D figures
• Perimeter of a triangle, rectangle, quadrilateral, parallelogram
• Area of a rectangle, square, parallelogram, triangle, circle, trapezoid
• Finding lengths of sides of the right triangle using trigonometric ratios
• Finding angle measures of the right triangle using trigonometric ratios
• Finding lengths of sides of the special right triangles
• Finding the value of the variable in angles of a triangle and calculating the angle measures
• Solving a right triangle
• Circumference, diameter and radius of a circle
• Area of a circle sector
• Length of a circle arc
• Volume of rectangular prisms
• Surface area of cubes and rectangular prisms

## Trigonometry and angles

• Classifying angles according to their measure
• Triangle angle-sum theorem
• Operations with angle measures
• Complementary and supplementary angles
• Construction of angles
• Converting angles between degrees and radians
• Converting angles between decimal and DMS form
• Coterminal angles
• Reference angle
• Period of trigonometric functions
• Law of Sines and Cosines
• Verifying trigonometric identities
• Rewriting trigonometric expressions using formulas

## Sequences

• Identifying arithmetic and geometric sequences
• Sum of arithmetic and geometric sequences
• Rewriting in recursive or explicit form
• Various tests for convergence or divergence
• Limit of a sequence

## Calculus

• Limits
• Derivatives (various methods)
• Find the tangent line using derivatives or limits
• Antiderivative
• Integrals
• Area below a curve
• Identifying conics
• Rotations of conics
• Parametrization of curves
• Rewriting functions as power series
• Differential equations
• Polar coordinates
• Taylor and Maclaurin polynomial
• Radius and interval of convergence of a series
• Operations with power series

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