Supported Math Content

1. NUMBERS & QUANTITY

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

2. COMPLEX NUMBERS

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

3. EQUATIONS & INEQUALITIES

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

4. 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
  • Finding roots, domain, extrema, inflection points, asymptotes
  • Determining if the function is even, odd, or neither
  • x- and y-intercepts
  • Various transformations (standard form, implicit form, explicit form)
  • Writing quadratic functions
  • Converting between rectangular, polar, spherical, and cylindrical coordinates
  • Finding inverse functions
  • Testing for symmetry
  • Axis of symmetry
  • Tangent lines
  • Evaluation and approximation of functions
  • Converting between rectangular, polar, spherical, and cylindrical coordinates

5. ALGEBRA

  • Simplifying, factoring, and evaluating algebraic expressions
  • Simplifying algebraic fractions and 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
  • Collinearity
  • Equations of circles and conics
  • Discriminant
  • Perfect Square Trinomial
  • Polynomial Division
  • Pascal's triangle, binomial theorem, factorials, equations with factorials
  • Combinations, permutations, and variations
  • Matrices and mtrix equations
  • Determinants
  • 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

6. VECTORS

  • Drawing vectors
  • Operations with vectors (addition, subtraction, dot product, scalar multiplication, cross product, scalar triple product)
  • Component form and linear combination of vectors
  • Magnitude of a 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

7. GEOMETRY

  • Classifying shapes
  • Plotting 2D figures
  • Perimeter of a triangle, rectangle, quadrilateral, parallelogram
  • Area of a rectangle, square, parallelogram, triangle, circle, trapezoid
  • 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

8. TRIGONOMETRY & 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
  • Finding Coterminal angles
  • Reference angle
  • Period of trigonometric functions
  • Law of Sines and Cosines
  • Verifying trigonometric identities
  • Rewriting trigonometric expressions using formulas

9. 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

10. 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
  • Identifying quadratic surfaces
  • 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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