參考書:Calculus Early Transcendentals 9th Edition Metric Edition by James Stewart, Daniel Clegg, Saleem Watson

• 7.4 Integration of Rational Functions by Partial Fractions (有理函數的積分-部分分式法)
• 7.8 Improper Integrals (瑕積分)
• 8.1 Arc Length (弧長)
• 8.2 Area of a Surface of Revolution (旋轉曲面的面積)
• 10.1 Curves Defined by Parametric Equations (參數方程式定義的曲線)
• 10.2 Calculus with Parametric Curves (參數曲線微積分)
• 10.3 Polar Coordinates (極坐標)
• 10.4 Calculus in Polar Coordinates (極坐標微積分)
• 11.1 Sequences (數列)
• 11.2 Series (級數)
• 11.6 The Ratio Tests (比例檢驗法)
• 11.8 Power Series (冪級數)
• 11.9 Representations of Functions as Power Series (函數的冪級數表示法)
• 11.10 Taylor and Maclaurin Series (泰勒和麥克勞林級數)
• 12.4 The Cross Product (向量外積)
• 14.1 Functions of Several Variables (多變數函數)
• 14.2 Limits and Continuity (極限與連續)
• 14.3 Partial Derivatives (偏導數)
• 14.4 Tangent Planes and Linear Approximations (切平面與線性逼近)
• 14.5 The Chain Rule (鏈鎖律)
• 14.6 Directional Derivatives and the Gradient Vector (方向導數與梯度向量)
• 14.7 Maximum and Minimum Values (極大與極小值)
• 15.1 Double Integrals over Rectangles (矩形區域上的重積分)
• 15.2 Double Integrals over General Regions (一般區域上的重積分)
• 15.3 Double Integrals in Polar Coordinates (極坐標下的重積分)