週次 |
授課內容 |
第1週 |
01 Review |
第2週 |
02 Arc Length |
第3週 |
03 Area of a Surface of Revolution |
第4週 |
04 Probability |
第5週 |
05 First order and second order differential equations and applications |
第6週 |
06 First order and second order differential equations and applications |
第7週 |
07 Separable equations and applications |
第8週 |
08 Infinite series: sequences, absolute convergence test, Comparison test, Integral test, Limitting comparison test |
第9週 |
09 期中考 |
第10週 |
10 Infinite series: The Ratio test and Root test |
第11週 |
11 Infinite series: Alternating series test and Conditional convergence |
第12週 |
12 Infinite series: Power series and some basic theorems |
第13週 |
13 Infinite series: Taylor and Maclaurin series |
第14週 |
14 Convergence of Taylor series |
第15週 |
15 The Binormial series and applications of Taylor series |
第16週 |
16 Analysis geometry in calculus |
第17週 |
17 Analysis geometry in calculus |
第18週 |
18 期末考 |