📐Precalculus
AP Precalculus — polynomial, rational, exponential, logarithmic, and trigonometric functions, plus parametric and polar. Newest AP course (launched 2023).
Topics
- Polynomial and Rational FunctionsMaster polynomial end behaviour, zeros, multiplicity, rational function asymptotes, graph transforma…
- Exponential and Logarithmic FunctionsMaster exponential growth/decay, logarithmic properties, equation solving, and real-world modelling…
- Trigonometric and Polar FunctionsMaster unit circle identities, sinusoidal modeling, inverse trig functions, and polar coordinates fo…
- Functions, Vectors, MatricesMaster parametric equation elimination, 2D/3D vectors, vector operations, and matrix transformations…
- Equivalent representations of polynomial and rational expressionsMaster equivalent representations of polynomial and rational expressions for AP Precalculus: core co…
- Function model construction and applicationMaster function model construction and application for AP Precalculus: core concepts, worked example…
- Function model selection and assumption articulationMaster function model selection and assumption articulation for AP Precalculus: core concepts, worke…
- Polynomial and Rational FunctionsMaster polynomial and rational functions for AP Precalculus: core concepts, worked examples, exam-st…
- Polynomial functions and end behaviorMaster polynomial functions and end behavior for AP Precalculus: core concepts, worked examples, exa…
- Rates of change (average and over equal intervals)Master rates of change (average and over equal intervals) for AP Precalculus: core concepts, worked…
- Rational functions and end behaviorMaster rational functions and end behavior for AP Precalculus: core concepts, worked examples, exam-…
- Rational functions and holesMaster rational functions and holes for AP Precalculus: core concepts, worked examples, exam-style p…
- Rational functions and vertical asymptotesMaster rational functions and vertical asymptotes for AP Precalculus: core concepts, worked examples…
- Rational functions and zerosMaster rational functions and zeros for AP Precalculus: core concepts, worked examples, exam-style p…
- Transformations of functionsMaster transformations of functions for AP Precalculus: core concepts, worked examples, exam-style p…
- Change in arithmetic and geometric sequencesMaster change in arithmetic and geometric sequences for AP Precalculus: core concepts, worked exampl…
- Change in linear and exponential functionsMaster change in linear and exponential functions for AP Precalculus: core concepts, worked examples…
- Competing function model validationMaster competing function model validation for AP Precalculus: core concepts, worked examples, exam-…
- Composition of functionsMaster composition of functions for AP Precalculus: core concepts, worked examples, exam-style pract…
- Exponential and logarithmic equations and inequalitiesMaster exponential and logarithmic equations and inequalities for AP Precalculus: core concepts, wor…
- Exponential function context and data modelingMaster exponential function context and data modeling for AP Precalculus: core concepts, worked exam…
- Exponential function manipulationMaster exponential function manipulation for AP Precalculus: core concepts, worked examples, exam-st…
- Exponential functionsMaster exponential functions for AP Precalculus: core concepts, worked examples, exam-style practice…
- Inverse functionsMaster inverse functions for AP Precalculus: core concepts, worked examples, exam-style practice que…
- Inverses of exponential functionsMaster inverses of exponential functions for AP Precalculus: core concepts, worked examples, exam-st…
- Logarithmic expressionsMaster logarithmic expressions for AP Precalculus: core concepts, worked examples, exam-style practi…
- Logarithmic function context and data modelingMaster logarithmic function context and data modeling for AP Precalculus: core concepts, worked exam…
- Logarithmic function manipulationMaster logarithmic function manipulation for AP Precalculus: core concepts, worked examples, exam-st…
- Logarithmic functionsMaster logarithmic functions for AP Precalculus: core concepts, worked examples, exam-style practice…
- Exponential and Logarithmic FunctionsMaster exponential and logarithmic functions for AP Precalculus: core concepts, worked examples, exa…
- Semi-log plotsMaster semi-log plots for AP Precalculus: core concepts, worked examples, exam-style practice questi…
- Equivalent representations of trigonometric functionsMaster equivalent representations of trigonometric functions for AP Precalculus: core concepts, work…
- Inverse trigonometric functionsMaster inverse trigonometric functions for AP Precalculus: core concepts, worked examples, exam-styl…
- Trigonometric and Polar FunctionsMaster trigonometric and polar functions for AP Precalculus: core concepts, worked examples, exam-st…
- Periodic phenomenaMaster periodic phenomena for AP Precalculus: core concepts, worked examples, exam-style practice qu…
- Polar coordinates and graphsMaster polar coordinates and graphs for AP Precalculus: core concepts, worked examples, exam-style p…
- Polar function graph behaviorMaster polar function graph behavior for AP Precalculus: core concepts, worked examples, exam-style…
- Rates of change in polar functionsMaster rates of change in polar functions for AP Precalculus: core concepts, worked examples, exam-s…
- Sine and cosine function graphsMaster sine and cosine function graphs for AP Precalculus: core concepts, worked examples, exam-styl…
- Sine and cosine function values (unit circle)Master sine and cosine function values (unit circle) for AP Precalculus: core concepts, worked examp…
- Sine, cosine, and tangent (right triangle)Master sine, cosine, and tangent (right triangle) for AP Precalculus: core concepts, worked examples…
- Sinusoidal function context and data modelingMaster sinusoidal function context and data modeling for AP Precalculus: core concepts, worked examp…
- Sinusoidal function transformationsMaster sinusoidal function transformations for AP Precalculus: core concepts, worked examples, exam-…
- Sinusoidal functionsMaster sinusoidal functions for AP Precalculus: core concepts, worked examples, exam-style practice…
- Tangent functionMaster tangent function for AP Precalculus: core concepts, worked examples, exam-style practice ques…
- Trigonometric equations and inequalitiesMaster trigonometric equations and inequalities for AP Precalculus: core concepts, worked examples,…
- Trigonometric identities (Pythagorean, sum/difference, double-angle)Master trigonometric identities (pythagorean, sum/difference, double-angle) for AP Precalculus: core…
- Implicitly defined functionsMaster implicitly defined functions for AP Precalculus: core concepts, worked examples, exam-style p…
- Linear transformations and matricesMaster linear transformations and matrices for AP Precalculus: core concepts, worked examples, exam-…
- MatricesMaster matrices for AP Precalculus: core concepts, worked examples, exam-style practice questions, c…
- Matrices as functionsMaster matrices as functions for AP Precalculus: core concepts, worked examples, exam-style practice…
- Matrices modeling contextsMaster matrices modeling contexts for AP Precalculus: core concepts, worked examples, exam-style pra…
- Functions Involving Parameters, Vectors, and MatricesMaster functions involving parameters, vectors, and matrices for AP Precalculus: core concepts, work…
- Parametric functionsMaster parametric functions for AP Precalculus: core concepts, worked examples, exam-style practice…
- Parametric functions of conic sectionsMaster parametric functions of conic sections for AP Precalculus: core concepts, worked examples, ex…
- The inverse and determinant of a matrixMaster the inverse and determinant of a matrix for AP Precalculus: core concepts, worked examples, e…
- Vector-valued functionsMaster vector-valued functions for AP Precalculus: core concepts, worked examples, exam-style practi…
- VectorsMaster vectors for AP Precalculus: core concepts, worked examples, exam-style practice questions, co…