Math: High school & college Ages 14-18 ● Media ready

Precalculus

The Precalculus course covers complex numbers; composite functions; trigonometric functions; vectors; matrices; conic sections; and probability and combinatorics. It also has two optional units on series and limits and continuity. Khan Academy's Precalculus course is built to deliver a comprehensive, illuminating, engaging, and Common Core aligned experience!

10 units 90 lessons 96 videos 5 on CDN

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Unit 2 Composite and inverse functions

1 Composing functions Free 2 video(s) ● 2 Modeling with composite functions Free 3 video(s) ● 4 Invertible functions 🔒 Pro 5 Inverse functions in graphs and tables 🔒 Pro 6 Verifying inverse functions by composition 🔒 Pro 22 Limits and continuity: Unit test 🔒 Pro

Unit 3 Trigonometry

1 Special trigonometric values in the first quadrant 🔒 Pro 1 video(s) 2 Trigonometric identities on the unit circle 🔒 Pro 3 Inverse trigonometric functions 🔒 Pro 5 Law of sines 🔒 Pro 6 Law of cosines 🔒 Pro 7 Solving general triangles 🔒 Pro 8 Sinusoidal equations 🔒 Pro 3 video(s) 9 Sinusoidal models 🔒 Pro 10 Angle addition identities 🔒 Pro 1 video(s) 11 Using trigonometric identities 🔒 Pro 5 video(s)

Unit 4 Complex numbers

1 The complex plane 🔒 Pro 2 Distance and midpoint of complex numbers 🔒 Pro 1 video(s) 4 Complex conjugates and dividing complex numbers 🔒 Pro 5 Identities with complex numbers 🔒 Pro 3 video(s) 7 Modulus (absolute value) and argument (angle) of complex numbers 🔒 Pro 3 video(s) 9 Polar form of complex numbers 🔒 Pro 10 Graphically multiplying complex numbers 🔒 Pro 2 video(s) 11 Multiplying and dividing complex numbers in polar form 🔒 Pro 4 video(s) 13 The fundamental theorem of algebra 🔒 Pro 3 video(s)

Unit 5 Rational functions

1 Reducing rational expressions to lowest terms 🔒 Pro 2 End behavior of rational functions 🔒 Pro 3 Discontinuities of rational functions 🔒 Pro 4 Graphs of rational functions 🔒 Pro 5 Modeling with rational functions 🔒 Pro 7 Multiplying and dividing rational expressions 🔒 Pro 8 Adding and subtracting rational expressions 🔒 Pro

Unit 6 Conic sections

1 Introduction to conic sections 🔒 Pro 2 Center and radii of an ellipse 🔒 Pro 2 video(s) 3 Foci of an ellipse 🔒 Pro 1 video(s) 5 Introduction to hyperbolas 🔒 Pro 2 video(s) 6 Foci of a hyperbola 🔒 Pro 1 video(s) 7 Hyperbolas not centered at the origin 🔒 Pro

Unit 7 Vectors

1 Vectors introduction 🔒 Pro 2 Vector components 🔒 Pro 3 Magnitude of vectors 🔒 Pro 5 Scalar multiplication 🔒 Pro 6 Vector addition and subtraction 🔒 Pro 3 video(s) 8 Direction of vectors 🔒 Pro 9 Vector components from magnitude and direction 🔒 Pro 1 video(s) 10 Adding vectors in magnitude and direction form 🔒 Pro 11 Vectors word problems 🔒 Pro 3 video(s)

Unit 8 Matrices

1 Introduction to matrices 🔒 Pro 1 video(s) 2 Using matrices to represent data 🔒 Pro 2 video(s) 3 Multiplying matrices by scalars 🔒 Pro 1 video(s) 4 Adding and subtracting matrices 🔒 Pro 1 video(s) 5 Properties of matrix addition & scalar multiplication 🔒 Pro 6 Using matrices to manipulate data 🔒 Pro 8 Matrices as transformations of the plane 🔒 Pro 6 video(s) 9 Using matrices to transform the plane 🔒 Pro 2 video(s) 10 Transforming 3D and 4D vectors with matrices 🔒 Pro 2 video(s) 11 Multiplying matrices by matrices 🔒 Pro 12 Properties of matrix multiplication 🔒 Pro 8 video(s) 14 Representing systems of equations with matrices 🔒 Pro 2 video(s) 15 Introduction to matrix inverses 🔒 Pro 4 video(s) 16 Finding inverses of 2x2 matrices 🔒 Pro 1 video(s) 17 Solving linear systems with matrices 🔒 Pro 1 video(s)

Unit 9 Probability and combinatorics

1 Venn diagrams and the addition rule 🔒 Pro 2 Multiplication rule for probabilities 🔒 Pro 1 video(s) 4 Permutations 🔒 Pro 6 video(s) 5 Combinations 🔒 Pro 6 Probability using combinatorics 🔒 Pro 5 video(s) 8 Probability distributions introduction 🔒 Pro 9 Theoretical & empirical probability distributions 🔒 Pro 1 video(s) 10 Decisions with probability 🔒 Pro 1 video(s) 12 Expected value 🔒 Pro 2 video(s)

Unit 10 Series

1 Geometric series 🔒 Pro 1 video(s) 2 Geometric series (with summation notation) 🔒 Pro 1 video(s) 4 The binomial theorem 🔒 Pro 3 video(s) 5 Arithmetic series 🔒 Pro

Unit 11 Limits and continuity

1 Defining limits and using limit notation 🔒 Pro 2 Estimating limit values from graphs 🔒 Pro 3 Estimating limit values from tables 🔒 Pro 5 Determining limits using algebraic properties of limits: limit properties 🔒 Pro 6 Determining limits using algebraic properties of limits: direct substitution 🔒 Pro 8 Determining limits using algebraic manipulation 🔒 Pro 9 Selecting procedures for determining limits 🔒 Pro 10 Determining limits using the squeeze theorem 🔒 Pro 12 Exploring types of discontinuities 🔒 Pro 13 Defining continuity at a point 🔒 Pro 14 Confirming continuity over an interval 🔒 Pro 15 Removing discontinuities 🔒 Pro 17 Connecting infinite limits and vertical asymptotes 🔒 Pro 18 Connecting limits at infinity and horizontal asymptotes 🔒 Pro 20 Working with the intermediate value theorem 🔒 Pro