| 週次 |
授課內容 |
| 第1週 |
本進度將因國定假日及學生學習狀況而有所調整
Indeterminate Forms and L’Hospital’s Rule |
| 第2週 |
Integration by Parts ; Trigonometric Integrals |
| 第3週 |
Trigonometric Substitution ; Improper Integrals |
| 第4週 |
Sequences ; Series |
| 第5週 |
The Integral Test ; The Comparison Tests |
| 第6週 |
Alternating Series; Absolute Convergence and the Ratio and Root Tests (考試1) |
| 第7週 |
Midterm Exam |
| 第8週 |
Power Series; Representations of Functions as Power Series |
| 第9週 |
Taylor and Maclaurin Series |
| 第10週 |
Functions of Several Variables ; Partial Derivatives |
| 第11週 |
Tangent Planes and Linear Approximations ; The Chain Rule |
| 第12週 |
The Chain Rule ; Directional Derivatives and the Gradient Vector (考試2) |
| 第13週 |
Directional Derivatives and the Gradient Vector; Maximum and Minimum Values |
| 第14週 |
Maximum and Minimum Values; Lagrange Multipliers |
| 第15週 |
Lagrange Multipliers ; Double Integrals over Rectangles |
| 第16週 |
Double Integrals over General Regions; Double Integral in polar Coordinates |
| 第17週 |
Final Exam |
| 第18週 |
自主學習(GGB多變數函數微分與積分演練) |