Precalculus Math Mission

The Math Mission - Precalculus is a set of skills on Khan Academy. This mission consists of intensive practice on various topics including vectors, matrices, parametric equations, polar coordinates, complex numbers, advanced probability, sequences and series, and beginning limit calculus.

Mission Foundations

 * 1) Adding and subtracting rational expressions 7
 * 2) Comparing features of functions
 * 3) Finding probability
 * 4) Adding and subtracting radicals
 * 5) Trigonometry 2
 * 6) Understanding linear and exponential models
 * 7) Factoring polynomials by grouping
 * 8) Systems of equations
 * 9) Quantitatively defining rigid transformations
 * 10) Evaluating composite functions
 * 11) Equations of a circle in factored form

Vectors

 * 1) Recognizing vector quantities
 * 2) Scaling vectors
 * 3) Graphically adding and subtracting vectors
 * 4) Adding and subtracting vectors in rectangular form
 * 5) Components of vectors
 * 6) Unit vectors
 * 7) Adding vectors in magnitude and direction form
 * 8) Vector word problems

Matrices

 * 1) Matrix dimensions
 * 2) Representing relationships with matrices
 * 3) Scalar matrix multiplication
 * 4) Matrix addition and subtraction
 * 5) Matrix transpose
 * 6) Multiplying a matrix by a matrix
 * 7) Multiplying a matrix by a vector
 * 8) Defined and undefined matrix operations
 * 9) Properties of matrix multiplication
 * 10) Zero and identity matrices
 * 11) Geometric transformations with matrix multiplication
 * 12) Determinant of a 2x2 matrix
 * 13) Inverse of a 2x2 matrix
 * 14) Determinant of a 3x3 matrix
 * 15) Inverse of a 3x3 matrix
 * 16) Writing systems of equations as matrix equations
 * 17) Solving matrix equations

Imaginary and complex numbers

 * 1) Imaginary unit powers
 * 2) The imaginary unit and complex numbers
 * 3) The complex plane
 * 4) Adding and subtracting complex numbers
 * 5) Complex plane operations
 * 6) Distance and midpoint on the complex plane
 * 7) Equivalent forms of expressions with complex numbers
 * 8) Multiplying complex numbers
 * 9) Dividing complex numbers
 * 10) Absolute value of complex numbers
 * 11) Complex number polar form intuition
 * 12) Rectangular and polar forms of complex numbers
 * 13) Multiplying and dividing complex numbers in polar form
 * 14) Powers of complex numbers

Probability and combinatorics

 * 1) Probability 1
 * 2) Compound events
 * 3) Independent probability
 * 4) Dependent probability
 * 5) Counting 2
 * 6) Permutations
 * 7) Combinations
 * 8) Permutations and combinations
 * 9) Probability with permutations and combinations

Sequences, series and induction

 * 1) Arithmetic sequences 1
 * 2) Arithmetic sequences 2
 * 3) Arithmetic series
 * 4) Geometric sequences 1
 * 5) Geometric sequences 2
 * 6) Calculating finite geometric series
 * 7) Finite geometric series word problems
 * 8) Understanding series
 * 9) Geometric series of constants
 * 10) Defining sequences as functions
 * 11) Modeling with sequences

Hyperbolic functions

 * 1) Asymptotes of a hyperbola

Limits

 * 1) Two-sided limits from graphs
 * 2) One-sided limits from graphs
 * 3) Finding limits numerically
 * 4) Two-sided limits using algebra
 * 5) Two-sided limits using advanced algebra

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