課程概述 Course Description：
本課程將介紹微分與積分的定義及其應用，培養學生求解及解釋問題的能力。
教學目標 Course Objectives：
本課程將期望學生能熟練微積分的計算技巧，以期達到實際問題的應用。
教學內容 Course Outline：
W1:Techniques of Integration: Integration by substitution
W2:Techniques of Integration: More skills and examples
W3:Applications of Integration: Area of a region between two curves, Volume-the disk method, the shell method
W4:Applications of Integration: Arc length, Surfaces of revolution
W5:Differential Equations: Growth rate and equations, Solution classification
W6:Parametric Equations
W7:Polar Coordinates (I)
W8:Polar Coordinates (II)
W9:第一次評量
W10:Sequences, Series, and Convergence
W11:Power Series: Definition and Convergence
W12:Power Series: Applications
W13:Partial Derivatives: Directional derivatives, gradients
W14:Partial Derivatives: Tangent plane, normal lines, Extrema of functions of two variable and applications
W15:Multiple Integrals: Iterated integrals, Area in the plane
W16:Multiple Integrals: Double integrals, Volume
W17:Multiple Integrals: Change of variables, Applications
W18:第二次評量