﻿ 微積分統一教學網-模05-09班課程大綱

# 微積分統一教學網

## 模05-09班課程大綱

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 微積分3 第一週 12.6 Cylinders and Quadric Surfaces Worksheet (Space Curves and Their Tangents) 14.1 Functions of Several Variables 14.2 Limits and Continuity 第二週 14.3 Partial Derivatives 14.4 Tangent Planes and Linear Approximations 第三週 14.5 The Chain Rule Worksheet (Polar Coordinates) 14.6 Directional Derivatives and the Gradient Vector 14.7 Maximum and Minimum Values 第四週 14.8 Lagrange Multipliers 15.1 Double Integrals over Rectangles 第五週 15.2 Double Integrals over General Regions Worksheet (Applications of Double Integrals) 15.3 Double Integrals in Polar Coordinates 15.4 Applications of Double Integrals (WS) 第六週  3/29(五) 微積分3停修截止 15.6 Triple Integrals 15.7 Triple Integrals in Cylindrical Coordinates 15.8 Triple Integrals in Spherical Coordinates 第七週 15.9 Change of Variables in Multiple Integrals 第八週 緩衝時間 期考 4/13(六) 09:00~11:30 考試以英文命題 微積分4 第九週 4/19(五) 微積分4退選截止 16.1 Vector Fields 16.2 Line Integrals 16.3 The Fundamental Theorem for Line Integrals (WS) 16.4 Green's Theorem 第十週 16.5 Curl and Divergence Worksheet (Conservative Vector Fields) 16.6 Parametric Surfaces and Their Areas (WS) 第十一週 16.7 Surface Integrals 16.8 Stokes' Theorem 16.9 The Divergence Theorem 11.1 Sequences(*) 第十二週 11.2 Series Worksheet (Parametric Surfaces) 11.3 The Integral Test and Estimates of Sums (WS) 11.4 The Comparison Tests (*) 第十三週 11.5 Alternating Series and Absolute Convergence (WS) Worksheet (Tests for Convergence of Series) 11.6 The Ratio and Root Tests 11.7 Strategy for Testing Series (*) 第十四週 11.8 Power Series 11.9 Representations of Functions as Power Series 11.10 Taylor and Maclaurin Series 11.11 Applications of Taylor Polynomials (WS) 第十五週 緩衝時間 期考 6/1(六) 09:00~11:30 考試以英文命題 第十六週