# 112學年度微積分統一教學

教師:
1. 劉珈銘(物理光電)
2. 劉育祐(化學地科)

說明:因應疫情，各班將依照實際教學狀況做適當的調整與增減。

課程教材 Course Material：
James Stewart, Calculus: Early Transcendentals, published by Cengage Learing.

課程作業
Cengage平台

上學期
週次 Week 進度說明 Progress Description
1 Limits and Continuity
2 Limits and Continuity
3 Derivatives
4 Derivatives
5 Derivatives
6 Applications of Derivatives
7 Applications of Derivatives
8 Applications of Derivatives
9 Integration
10 Integration
11 Application of Integration
12 Application of Integration
13 Application of Integration
14 Exponential Functions and Logarithmic Functions
15 Exponential Functions and Logarithmic Functions
16 Integration by Parts and Techniques of Integration
17 Techniques of Integration
18 Techniques of Integration

下學期
課程進度 Course Outline
週次 Week 進度說明 Progress Description
1 Elementary Differential Equations
2 Elementary Differential Equations
3 Convergence of Sequence, Infinite Series, Improper Integrals, and L' Hopital's Rules
4 Convergence of Sequence, Infinite Series, Improper Integrals, and L' Hopital's Rules
5 Convergence of Sequence, Infinite Series, Improper Integrals, and L' Hopital's Rules
6 Convergence of Sequence, Infinite Series, Improper Integrals, and L' Hopital's Rules
7 Arc Length, Area in Polar Coordinates, Work, Cross Product, Angular Momentum, and Torque
8 Arc Length, Area in Polar Coordinates, Work, Cross Product, Angular Momentum, and Torque
9 Functions of Several Variables(Limit and Continuity)
10 Functions of Several Variables(Limit and Continuity)
11 Derivatives of Function of Several Variables(Gradient, Finding Extreme Values, Lagrange Multipliers)
12 Derivatives of Function of Several Variables(Gradient, Finding Extreme Values, Lagrange Multipliers)
13 Fubini's Theorem and Integration of Function of Several Variables
14 Fubini's Theorem and Integration of Function of Several Variables
15 Formula for Integration under Change of Variables, Line Integrals, Work-Energy Formula
16 Formula for Integration under Change of Variables, Line Integrals, Work-Energy Formula
17 Green's Theorem, Divergence Theorem, Stokes Theorem)
18 Green's Theorem, Divergence Theorem, Stokes Theorem)