| 週次 |
授課內容 |
| 第1週 |
課程介紹
Ch08S01:Arc Length
Ch08S02:Area of Surface of Revolution
Ch10S01: Curves Defined by Parametric Equations.
Ch10S02: Calculus with Parametric Curves. |
| 第2週 |
Ch10S02: Calculus with Parametric Curves.
Ch10S03: Polar Coordinates.
Ch10S04: Calculus in Polar Coordinates. |
| 第3週 |
Ch11S01: Sequences
Ch11S02: Series
Ch11S03: The Integral Test and Estimates of Sums
Ch11S04: The Comparison Tests |
| 第4週 |
Ch11S05: Alternating Series
Ch11S06: Absolute Convergence and the Ratio and Root Tests
Ch11S07: Strategy for Testing Series
Ch11S08: Power Series |
| 第5週 |
Ch11S09: Representations of Functions as Power Series
Ch11S10: Taylor and Maclaurin Series
Ch11S11: Applications of Taylor Polynomials |
| 第6週 |
Mid 1
Ch13S01: Vector Functions and Space Curves
Ch13S02: Derivatives and Integrals of Vector Functions
Ch13S03: Arc Length and Curvature
|
| 第7週 |
調整放假，兒童節，清明節，校慶補假
校慶運動會補假
|
| 第8週 |
Ch13S04: Motion in Space: Velocity and Acceleration
Ch14S01: Functions of Several Variables
Ch14S02: Limits and Continuity
Ch14S03: Partial Derivatives |
| 第9週 |
Ch14S04: Tangent Planes and Linear Approximations
Ch14S05: The Chain Rule
Ch14S06: Directional Derivatives and the Gradient Vector |
| 第10週 |
Ch14S07: Maximum and Minimum Values
Ch14S08: Lagrange Multipliers
|
| 第11週 |
Ch15S01: Double Integrals over Rectangles
Mid 2 |
| 第12週 |
Ch15S02: Double Integrals over General Regions
Ch15S03: Double Integrals in Polar Coordinates |
| 第13週 |
Ch15S04: Applications of Double Integrals
Ch15S05: Surface Area
Ch15S06: Triple Integrals |
| 第14週 |
Ch15S07: Triple Integrals in Cylindrical Coordinates
Ch15S08: Triple Integrals in Spherical Coordinates
Ch15S09: Change of Variables in Multiple Integrals |
| 第15週 |
Ch16S01: Vector Fields
Ch16S02: Line Integrals
Ch16S03: The Fundamental Theorem of Line Integrals |
| 第16週 |
Ch16S04: Green’s Theorem
Ch16S05: Parametric Surfaces and Their Areas
Final Exam |
| 第17週 |
自主學習:（ilearning 微積分影片教材）
Ch12S01: Three-Dimensional Coordinate Systems
Ch12S02: Vectors
Ch12S03: The Dot Product
|
| 第18週 |
自主學習: (ilearning 微積分影片教材）
Ch12S04: The Cross Product
Ch12S05: Equations of Lines and Planes
Ch12S06: Cylinders and Quadric Surfaces |