| 週次 |
授課內容 |
| 第1週 |
improper integral |
| 第2週 |
quiz1 |
| 第3週 |
arc length, surface area of revolution, differential equation |
| 第4週 |
sequence and series, test for divergence, integral test, comparison test |
| 第5週 |
alternating series test, absolute convergence, ratio test, root test |
| 第6週 |
power series, Taylor series |
| 第7週 |
holiday |
| 第8週 |
midterm |
| 第9週 |
limit and continuity of a function with multiple variables, partial derivative, tangent plane, linear approximation |
| 第10週 |
chain rule, directional derivative, gradient |
| 第11週 |
maximum and minimum of a function with multiple variables, Lagrange multiplier |
| 第12週 |
quiz2 |
| 第13週 |
double integrals over rectangles, general regions, and in polar coordinates |
| 第14週 |
surface area, triple integrals, triple integrals in cylindrical coordinates |
| 第15週 |
triple integrals in spherical coordinates, jacobian |
| 第16週 |
final exam |
自主學習
內容 |
study vector Calculus |
|