AP Precalculus · ⁨AP 预备微积分⁩

1.1 Change in Tandem · ⁨协同变化⁩ 1.2 Rates of Change · ⁨变化率⁩ 1.3 Rates of Change in Linear and Quadratic Functions · ⁨线性函数与二次函数的变化率⁩ 1.4 Polynomial Functions and Rates of Change · ⁨多项式函数与变化率⁩ 1.5 Polynomial Functions and Complex Zeros · ⁨多项式函数与复数零点⁩ 1.6 Polynomial Functions and End Behavior · ⁨多项式函数与末端行为⁩ 1.7 Rational Functions and End Behavior · ⁨有理函数与末端行为⁩ 1.8 Rational Functions and Zeros · ⁨有理函数与零点⁩ 1.9 Rational Functions and Vertical Asymptotes · ⁨有理函数与竖直渐近线⁩ 1.10 Rational Functions and Holes · ⁨有理函数与空洞⁩ 1.11 Equivalent Representations of Polynomial and Rational Expressions · ⁨多项式与有理表达式的等价表示⁩ 1.12 Transformations of Functions · ⁨函数的变换⁩ 1.13 Function Model Selection and Assumption Articulation · ⁨函数模型选择与假设阐述⁩ 1.14 Function Model Construction and Application · ⁨函数模型的构建与应用⁩

2.1 Change in Arithmetic and Geometric Sequences · ⁨等差数列与等比数列的变化⁩ 2.2 Change in Linear and Exponential Functions · ⁨线性函数与指数函数的变化⁩ 2.3 Exponential Functions · ⁨指数函数⁩ 2.4 Exponential Function Manipulation · ⁨指数函数的运算⁩ 2.5 Exponential Function Context and Data Modeling · ⁨指数函数的情境与数据建模⁩ 2.6 Competing Function Model Validation · ⁨竞争函数模型的验证⁩ 2.7 Composition of Functions · ⁨复合函数⁩ 2.8 Inverse Functions · ⁨反函数⁩ 2.9 Logarithmic Expressions · ⁨对数表达式⁩ 2.10 Inverses of Exponential Functions · ⁨指数函数的反函数⁩ 2.11 Logarithmic Functions · ⁨对数函数⁩ 2.12 Logarithmic Function Manipulation · ⁨对数函数的运算⁩ 2.13 Exponential and Logarithmic Equations and Inequalities · ⁨指数与对数方程和不等式⁩ 2.14 Logarithmic Function Context and Data Modeling · ⁨对数函数的情境与数据建模⁩ 2.15 Semi-log Plots · ⁨半对数图⁩

3.1 Periodic Phenomena · ⁨周期现象⁩ 3.2 Sine, Cosine, and Tangent · ⁨正弦、余弦与正切⁩ 3.3 Sine and Cosine Function Values · ⁨正弦与余弦函数值⁩ 3.4 Sine and Cosine Function Graphs · ⁨正弦与余弦函数图像⁩ 3.5 Sinusoidal Functions · ⁨正弦型函数⁩ 3.6 Sinusoidal Function Transformations · ⁨正弦型函数的变换⁩ 3.7 Sinusoidal Function Context and Data Modeling · ⁨正弦型函数的情境与数据建模⁩ 3.8 The Tangent Function · ⁨正切函数⁩ 3.9 Inverse Trigonometric Functions · ⁨反三角函数⁩ 3.10 Trigonometric Equations and Inequalities · ⁨三角方程与不等式⁩ 3.11 The Secant, Cosecant, and Cotangent Functions · ⁨正割、余割与余切函数⁩ 3.12 Equivalent Representations of Trigonometric Functions · ⁨三角函数的等价表示⁩ 3.13 Trigonometry and Polar Coordinates · ⁨三角学与极坐标⁩ 3.14 Polar Function Graphs · ⁨极坐标函数图像⁩ 3.15 Rates of Change in Polar Functions · ⁨极坐标函数的变化率⁩

4.1 Parametric Functions · ⁨参数方程函数⁩ 4.2 Parametric Functions Modeling Planar Motion · ⁨用参数方程函数为平面运动建模⁩ 4.3 Parametric Functions and Rates of Change · ⁨参数方程函数与变化率⁩ 4.4 Parametrically Defined Circles and Lines · ⁨参数定义的圆与直线⁩ 4.5 Implicitly Defined Functions · ⁨隐函数⁩ 4.6 Conic Sections · ⁨圆锥曲线⁩ 4.7 Parametrization of Implicitly Defined Functions · ⁨隐函数的参数化⁩ 4.8 Vectors · ⁨向量⁩ 4.9 Vector-Valued Functions · ⁨向量值函数⁩ 4.10 Matrices · ⁨矩阵⁩ 4.11 The Inverse and Determinant of a Matrix · ⁨矩阵的逆与行列式⁩ 4.12 Linear Transformations and Matrices · ⁨线性变换与矩阵⁩ 4.13 Matrices as Functions · ⁨作为函数的矩阵⁩ 4.14 Matrices Modeling Contexts · ⁨用矩阵为情境建模⁩