# 113學年度微積分統一教學 教師:(依姓氏筆畫排列) 1. 連文景(機械丙，化工丙) 3. 劉珈銘(機械甲乙) 4. 劉之中(化工甲乙) 說明:各班將依照教師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. 上學期 週次 Week 進度說明 Progress Description 1 Exponential Functions and Logarithmic Functions 2 Exponential Functions and Logarithmic Functions 3 Limits and Continuity 4 Limits and Continuity 5 Derivatives 6 Derivatives 7 Derivatives 8 Applications of Derivatives 9 Applications of Derivatives 10 Applications of Derivatives 11 Integration 12 Integration 13 Application of Integration 14 Application of Integration 15 Application of Integration 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)