Math: Essentials Ages 14-18 ● Media ready

Precalculus essentials

Explore advanced functions, trigonometry, complex numbers, vectors, matrices, conic sections, and series while strengthening algebraic reasoning and problem-solving skills. Analyze transformations, limits, continuity, and rational models, and apply precalculus concepts to graphical, geometric, and real-world contexts that prepare students for higher-level mathematics.

9 units 53 lessons 6 videos 6 on CDN

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Unit 2 Composite and inverse functions

1 Composing functions Free 2 Invertible functions Free 2 video(s) ● 3 Verifying inverse functions by composition Free 4 video(s) ● 8 Limits and continuity: Unit test 🔒 Pro

Unit 3 Trigonometry

1 Trigonometric identities on the unit circle 🔒 Pro 2 Inverse trigonometric functions 🔒 Pro 4 Law of sines 🔒 Pro 5 Law of cosines 🔒 Pro 6 Sinusoidal equations 🔒 Pro 7 Sinusoidal models 🔒 Pro 9 Angle addition identities 🔒 Pro

Unit 4 Complex numbers

1 The complex plane 🔒 Pro 2 Distance and midpoint of complex numbers 🔒 Pro 4 Complex conjugates and dividing complex numbers 🔒 Pro 5 Identities with complex numbers 🔒 Pro 7 Modulus (absolute value) and argument (angle) of complex numbers 🔒 Pro 8 Graphically multiplying complex numbers 🔒 Pro 10 The fundamental theorem of algebra 🔒 Pro

Unit 5 Rational functions

1 End behavior of rational functions 🔒 Pro 2 Discontinuities of rational functions 🔒 Pro 3 Modeling with rational functions 🔒 Pro

Unit 6 Conic sections

1 Introduction to conic sections 🔒 Pro 2 Center and radii of an ellipse 🔒 Pro 3 Foci of an ellipse 🔒 Pro 5 Introduction to hyperbolas 🔒 Pro 6 Foci of a hyperbola 🔒 Pro 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 🔒 Pro 7 Vector components from magnitude and direction 🔒 Pro 8 Adding vectors in magnitude and direction form 🔒 Pro

Unit 8 Matrices

1 Introduction to matrices 🔒 Pro 2 Multiplying matrices by scalars 🔒 Pro 3 Adding and subtracting matrices 🔒 Pro 4 Properties of matrix addition & scalar multiplication 🔒 Pro 5 Matrices as transformations of the plane 🔒 Pro 7 Multiplying matrices by matrices 🔒 Pro 8 Properties of matrix multiplication 🔒 Pro 9 Introduction to matrix inverses 🔒 Pro 10 Finding inverses of 2x2 matrices 🔒 Pro

Unit 9 Series

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

Unit 10 Limits and continuity

1 Defining limits and using limit notation 🔒 Pro 2 Exploring types of discontinuities 🔒 Pro 3 Defining continuity at a point 🔒 Pro 5 Confirming continuity over an interval 🔒 Pro 6 Removing discontinuities 🔒 Pro 7 Working with the intermediate value theorem 🔒 Pro