| 週次 |
授課內容 |
| 第1週 |
Review
Applications on Arc Length and Surface Area |
| 第2週 |
Differential Equations, Separable Equations and Models of Population Growth |
| 第3週 |
Parametric Equations and Polar Coordinates
11.1 Sequences |
| 第4週 |
11.2 Series
11.3 The Integral Test and Estimates of Sums |
| 第5週 |
11.4 The Comparison Tests
11.5 The Alternating Series and Absolute Convergences |
| 第6週 |
11.6 The Ratio and Root Test
11.8 Power Series |
| 第7週 |
11.9 Representations of Functions as Power Series
11.10 The Taylor and Maclaurin Series |
| 第8週 |
11.11 Applications of Taylor Polynomials
14.1 Functions of Several variables |
| 第9週 |
Review
Midterm Exam |
| 第10週 |
14.2 Limits and Continuity
14.3 Partial Derivatives |
| 第11週 |
14.4 Tangent Planes and Linear Approximations
14.5 The Chain Rule |
| 第12週 |
14.6 Directional Derivatives and Gradient vectors
14.7 Maximum and Minimum Values
14.8 Lagrange Multipliers |
| 第13週 |
15.1-2 Double Integrals over rectangles and general regions
15.3 Double Integrals in Polar Coordinates |
| 第14週 |
15.6 Triple Integrals
15.7-8 Triple Integrals in Cylindrical and Spherical Coordinates |
| 第15週 |
15.9 Change of Variables in Multiple Integrals
Review |
| 第16週 |
Final Exam |
自主學習
內容 |
02.閱覽產業及學術相關多媒體資料
Self-learning: 11.7, 12.1-12.5, 15.4-5 |