| 週次 |
授課內容 |
| 第1週 |
Integration by Parts
Trigonometric Integrals |
| 第2週 |
Trigonometric Substitution
Integration of Rational Functions by Partial Fractions |
| 第3週 |
Improper Integrals |
| 第4週 |
Sequences
Series |
| 第5週 |
The Integral Test and Estimates of Sums
The Comparison Tests |
| 第6週 |
Alternating Series and Absolute Convergence
The Ratio and Root Tests |
| 第7週 |
兒童節放假 |
| 第8週 |
Strategy for Testing Series
Power Series
|
| 第9週 |
Representations of Functions as Power Series
Taylor and Maclaurin Series |
| 第10週 |
期中考 |
| 第11週 |
Application of Taylor Polynomials
Functions of Several Variables |
| 第12週 |
Limits and Continuity
Partial Derivatives |
| 第13週 |
Tangent Planes and Liner Approximations
The Chain Rule |
| 第14週 |
Directional Derivatives and the Gradient Vector
Maximum and Minimum Values |
| 第15週 |
Lagrange Multipliers
Double Integrals over Rectangles |
| 第16週 |
Double Integrals over General Regions
Double Integrals over Polar Coordinates |
| 第17週 |
自主學習，多重積分教學開放課程。 |
| 第18週 |
自主學習，微分方程教學開放課程。 |