什么是预备微积分(中)
AP Precal从内容上来看一共有四个单元,分别是:
单元一:Polynomial and Rational Functions 多项式和有理函数
Change in Tandem
Rates of Change
Rates of Change in Linear and Quadratic Functions
Polynomial Functions and Rates of Change
Polynomial Functions and Complex Zeros
Polynomial Functions and End Behavior
Rational Functions and End Behavior
Rational Functions and Zeros
Rational Functions and Vertical Asymptotes
Rational Functions and Holes
Equivalent Representations of Polynomial and Rational Expressions
Transformations of Functions
Function Model Selection and Assumption Articulation
Function Model Construction and Application
单元二:Exponential and Logarithmic Functions 指数和对数函数
Change in Arithmetic and Geometric Sequences
Change in Linear and Exponential Functions
Exponential Functions
Exponential Function Manipulation
Exponential Function Context and Data Modeling
Competing Function Model Validation
Composition of Functions
Inverse Functions
Logarithmic Expressions
Inverses of Exponential Functions
Logarithmic Functions
Logarithmic Function Manipulation
Exponential and Logarithmic Equations and Inequalities
Logarithmic Function Context and Data Modeling
Semi-log Plots
单元三:Trigonometric and Polar Functions 三角函数和极坐标函数
Periodic Phenomena
Sine, Cosine, and Tangent
Sine and Cosine Function Values
Sine and Cosine Function Graphs
Sinusoidal Functions
Sinusoidal Function Transformations
Sinusoidal Function Context and Data Modeling
The Tangent Function
Inverse Trigonometric Functions
Trigonometric Equations and Inequalities
The Secant, Cosecant, and Cotangent Functions
Equivalent Representations of Trigonometric Functions
Trigonometry and Polar Coordinates
Polar Function Graphs
Rates of Change in Polar Functions
单元四:Functions Involving Parameters, Vectors, and Matrices 涉及参数、向量和矩阵的函数
Parametric Functions
Parametric Functions Modeling Planar Motion
Parametric Functions and Rates of Change
Parametrically Defined Circles and Lines
lmplicitly Defined Functions
Conic Sections
Parametrization of implicitly Defined Functions
Vectors
Vector-Valued Functions
Matrices
The Inverse and Determinant of a Matrix
Linear Transformations and Matrices
Matrices as Functions
Matrices Modeling Contexts
其中,多项式函数和有理函数选择占比:30%-40%。
指数函数和对数函数多选占比:27%6-40%
三角函数和极坐标函数多选占比:30%6-35%
包含参数、向量和矩阵的函数(AP大考不考察)