微積分甲(二)

本課程是為主修應用數學的同學所開的微積分,所以除了計算之外,也會強調推理及論證;此教學內容對之後的其他數學課程的銜接,具有關鍵的重要性

微積分(一)

無備註

 微積分會考,題型為選擇、填充題、計算題;以鑑別基本觀念與計算能力為主。此考試成績為微積分獎給獎依據  每節將勾選習題,學生應做習題,以增進對內容之理解,建立正確觀念並練習計算及推理  將使用E3教學平台:補充說明、補充教材、討論與回應將置於E3  同學應多多一起討論數學及習題;若有疑問,請主動找老師或助教討論  歡迎上課時或下課後發問討論  視需要安排習題演習課

期末微積分會考佔30% 期中考 二次 各20 % 期末考 20 % 小考 10 %

• Ch10 Parametric Equations and Polar Coordinates

  10.3 Polar Coordinates 10.4 Areas and Lengths in Polar Coordinates

  講授：

  4hours

• Ch11 Infinite Sequences and Series

  11.1 Sequences 11.2 Series 11.3 The Integral Test and Estimates of Sums 11.4 The Comparison Tests 11.5 Alternating Series 11.6 Absolute Convergence and the Ratio and Root Tests 11.7 Strategy for Testing Series 11.8 Power Series 11.9 Representations of Functions as Power Series 11.10 Taylor and Maclaurin Series 11.11 Applications of Taylor Polynomials

  講授：

  15 hours

• ◆Ch12 Vectors and the Geometry of Space (選教)

  12.1 Three-Dimensional Coordinate Systems 12.2 Vectors 12.3 The Dot Product 12.4 The Cross Product 12.5 Equations of Lines and Planes 12.6 Cylinders and Quadric Surface

  講授：

  3 hours

• Ch13 Vector Functions (◆處為選教)

  13.1 Vector Functions and Space Curves 13.2 Derivatives and Integrals of Vector Functions 13.3 Arc Length And ◆ Curvature ◆ 13.4 Motion in Space: Velocity and Acceleration

  講授：

  3 hours

• Ch14 Partial Derivatives

  14.1 Functions of Several Variables 14.2 Limits and Continuity 14.3 Partial Derivatives 14.4 Tangent Plans and Linear Approximations 14.5 The Chain Rule 14.6 Directional Derivatives and the Gradient Vector 14.7 Maximum and Minimum Values 14.8 Lagrange Multipliers

  講授：

  16 hours

• Ch15 Multiple Integrals (◆處為選教)

  15.1 Double Integrals over Rectangles 15.2 Double Integrals over General Regions 15.3 Double Integrals in Polar Coordinates ◆15.4 Application of Double Integrals 15.5 Surface Area 15.6 Triple Integrals 15.7 Triple Integrals in Cylindrical Coordinates 15.8 Triple Integrals in Spherical Coordinates 15.9 Change of Variables in Multiple Integrals

  講授：

  11 hours

• ◆Ch16 Vector Calculus (◆處為選教)

  ◆ 16.1 Vector Fields ◆ 16.2 Line integrals ◆ 16.3 The fundamental Theorem for line integrals ◆ 16.4 Green's Theorem

  講授：

  0 hour

Calculus(Early Transendentals), James Stewart, 8th Edition

地點

教師未提供此項資料

時間

教師未提供此項資料

聯絡方式

教師未提供此項資料