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Calculus Exercise II

微積分作業演算(二)

本課程是由交通大學應用數學系、微積分教學小組提供。

 

課程用書：Calculus (Early Transcendental), James Stewart, 6th EditionPublisher: Cengage Learning.

為求學習成效完美，請購買課本！

 

 
 
授課教師 羅元勳、陳育慈
課程學分 無
授課年度 97學年度
授課對象 大學一年級
預備知識 高中數學、微積分
課程提供 課程影音   課程綱要

週次課程內容課程影音課程下載
11.1 Sequences 題號：簡介線上觀看MP4下載
11.1 Sequences 題號：8線上觀看MP4下載
11.1 Sequences 題號：12線上觀看MP4下載
11.1 Sequences 題號：30線上觀看MP4下載
11.1 Sequences 題號：40線上觀看MP4下載
11.1 Sequences 題號：52線上觀看MP4下載
11.1 Sequences 題號：57線上觀看MP4下載
11.1 Sequences 題號：66線上觀看MP4下載
11.1 Sequences 題號：70線上觀看MP4下載
11.1 Sequences 題號：79線上觀看MP4下載
11.2 Series 題號：簡介線上觀看MP4下載
11.2 Series 題號：13線上觀看MP4下載
11.2 Series 題號：27線上觀看MP4下載
11.2 Series 題號：36線上觀看MP4下載
11.2 Series 題號：50線上觀看MP4下載
11.2 Series 題號：57線上觀看MP4下載
11.2 Series 題號：64線上觀看MP4下載
11.2 Series 題號：66線上觀看MP4下載
11.2 Series 題號：70線上觀看MP4下載
11.2 Series 題號：75線上觀看MP4下載
11.2 Series 題號：76線上觀看MP4下載
11.3 The Integral Test and Estimates of Sums 題號：簡介線上觀看MP4下載
11.3 The Integral Test and Estimates of Sums 題號：7線上觀看MP4下載
11.3 The Integral Test and Estimates of Sums 題號：26線上觀看MP4下載
11.3 The Integral Test and Estimates of Sums 題號：30線上觀看MP4下載
11.3 The Integral Test and Estimates of Sums 題號：35線上觀看MP4下載
11.3 The Integral Test and Estimates of Sums 題號：39線上觀看MP4下載
11.3 The Integral Test and Estimates of Sums 題號：41線上觀看MP4下載
11.3 The Integral Test and Estimates of Sums 題號：42線上觀看MP4下載
11.4 The Comparison Tests 題號：簡介線上觀看MP4下載
11.4 The Comparison Tests 題號：9線上觀看MP4下載
11.4 The Comparison Tests 題號：24線上觀看MP4下載
11.4 The Comparison Tests 題號：38線上觀看MP4下載
11.4 The Comparison Tests 題號：40線上觀看MP4下載
11.4 The Comparison Tests 題號：40(b)線上觀看MP4下載
11.4 The Comparison Tests 題號：41線上觀看MP4下載
11.4 The Comparison Tests 題號：43線上觀看MP4下載
11.4 The Comparison Tests 題號：45線上觀看MP4下載
11.5 Alternating Series 題號：簡介線上觀看MP4下載
11.5 Alternating Series 題號：7線上觀看MP4下載
11.5 Alternating Series 題號：17線上觀看MP4下載
11.5 Alternating Series 題號：18線上觀看MP4下載
11.5 Alternating Series 題號：25線上觀看MP4下載
11.5 Alternating Series 題號：34線上觀看MP4下載
11.5 Alternating Series 題號：35線上觀看MP4下載
11.6 Absolute Convergence and the Ratio and Root Tests 題號：簡介線上觀看MP4下載
11.6 Absolute Convergence and the Ratio and Root Tests 題號：3線上觀看MP4下載
11.6 Absolute Convergence and the Ratio and Root Tests 題號：5線上觀看MP4下載
11.6 Absolute Convergence and the Ratio and Root Tests 題號：22-28線上觀看MP4下載
11.6 Absolute Convergence and the Ratio and Root Tests 題號：33線上觀看MP4下載
11.6 Absolute Convergence and the Ratio and Root Tests 題號：34線上觀看MP4下載
11.6 Absolute Convergence and the Ratio and Root Tests 題號：35線上觀看MP4下載
11.6 Absolute Convergence and the Ratio and Root Tests 題號：38線上觀看MP4下載
11.8 Power Series 題號：簡介線上觀看MP4下載
11.8 Power Series 題號：4線上觀看MP4下載
11.8 Power Series 題號：21線上觀看MP4下載
11.8 Power Series 題號：30線上觀看MP4下載
11.8 Power Series 題號：31線上觀看MP4下載
11.8 Power Series 題號：33線上觀看MP4下載
11.8 Power Series 題號：37線上觀看MP4下載
11.8 Power Series 題號：40線上觀看MP4下載
11.8 Power Series 題號：41
11.9 Representations of Functions as Power Series 題號：簡介		線上觀看MP4下載
11.9 Representations of Functions as Power Series 題號：4線上觀看MP4下載
11.9 Representations of Functions as Power Series 題號：12線上觀看MP4下載
11.9 Representations of Functions as Power Series 題號：13線上觀看MP4下載
11.9 Representations of Functions as Power Series 題號：26線上觀看MP4下載
11.9 Representations of Functions as Power Series 題號：32線上觀看MP4下載
11.9 Representations of Functions as Power Series 題號：38線上觀看MP4下載
11.9 Representations of Functions as Power Series 題號：40線上觀看MP4下載
12.1 Three-Dimensional Coordinate Systems 題號：9線上觀看MP4下載
12.1 Three-Dimensional Coordinate Systems 題號：12線上觀看MP4下載
12.1 Three-Dimensional Coordinate Systems 題號：38線上觀看MP4下載
12.1 Three-Dimensional Coordinate Systems 題號：40線上觀看MP4下載
12.2 Vectors 題號：24線上觀看MP4下載
12.2 Vectors 題號：31線上觀看MP4下載
12.2 Vectors 題號：34線上觀看MP4下載
12.2 Vectors 題號：42線上觀看MP4下載
12.3 The Dot Product 題號：簡介線上觀看MP4下載
12.3 The Dot Product 題號：18,24線上觀看MP4下載
12.3 The Dot Product 題號：31線上觀看MP4下載
12.3 The Dot Product 題號：38線上觀看MP4下載
12.3 The Dot Product 題號：45線上觀看MP4下載
12.3 The Dot Product 題號：52,60線上觀看MP4下載
12.4 The Cross Product 題號：簡介線上觀看MP4下載
12.4 The Cross Product 題號：13,18,27線上觀看MP4下載
12.4 The Cross Product 題號：34-49線上觀看MP4下載
12.5 Equations of Lines and Planes 題號：18線上觀看MP4下載
12.5 Equations of Lines and Planes 題號：48,62線上觀看MP4下載
12.5 Equations of Lines and Planes 題號：73線上觀看MP4下載
12.6 Cylinders and Quadric Surface 題號：21,28線上觀看MP4下載
12.6 Cylinders and Quadric Surface 題號：41線上觀看MP4下載
12.6 Cylinders and Quadric Surface 題號：44線上觀看MP4下載
12.6 Cylinders and Quadric Surface 題號：50線上觀看MP4下載
13.1 Vector Functions and Space Curves 題號：簡介線上觀看MP4下載
13.1 Vector Functions and Space Curves 題號：9線上觀看MP4下載
13.1 Vector Functions and Space Curves 題號：12線上觀看MP4下載
13.1 Vector Functions and Space Curves 題號：21線上觀看MP4下載
13.1 Vector Functions and Space Curves 題號：23線上觀看MP4下載
13.1 Vector Functions and Space Curves 題號：38線上觀看MP4下載
13.1 Vector Functions and Space Curves 題號：42線上觀看MP4下載
13.2 Derivatives and Integrals of Vector Functions 題號：簡介線上觀看MP4下載
13.2 Derivatives and Integrals of Vector Functions 題號：7線上觀看MP4下載
13.2 Derivatives and Integrals of Vector Functions 題號：12線上觀看MP4下載
13.2 Derivatives and Integrals of Vector Functions 題號：21線上觀看MP4下載
13.2 Derivatives and Integrals of Vector Functions 題號：26線上觀看MP4下載
13.2 Derivatives and Integrals of Vector Functions 題號：32線上觀看MP4下載
13.2 Derivatives and Integrals of Vector Functions 題號：40線上觀看MP4下載
13.2 Derivatives and Integrals of Vector Functions 題號：48線上觀看MP4下載
13.3 Arc Length And Curvature 題號：簡介線上觀看MP4下載
13.3 Arc Length And Curvature 題號：3線上觀看MP4下載
13.3 Arc Length And Curvature 題號：16線上觀看MP4下載
13.3 Arc Length And Curvature 題號：19線上觀看MP4下載
13.3 Arc Length And Curvature 題號：28,32線上觀看MP4下載
13.3 Arc Length And Curvature 題號：44線上觀看MP4下載
13.3 Arc Length And Curvature 題號：49線上觀看MP4下載
13.3 Arc Length And Curvature 題號：60線上觀看MP4下載
14.1 Functions of Several Variables 題號：2線上觀看MP4下載
14.1 Functions of Several Variables 題號：18線上觀看MP4下載
14.1 Functions of Several Variables 題號：24線上觀看MP4下載
14.1 Functions of Several Variables 題號：30線上觀看MP4下載
14.1 Functions of Several Variables 題號：36線上觀看MP4下載
14.1 Functions of Several Variables 題號：44線上觀看MP4下載
14.1 Functions of Several Variables 題號：56線上觀看MP4下載
14.1 Functions of Several Variables 題號：63線上觀看MP4下載
14.1 Functions of Several Variables 題號：66線上觀看MP4下載
14.2 Limits and Continuity 題號：簡介線上觀看MP4下載
14.2 Limits and Continuity 題號：8,16線上觀看MP4下載
14.2 Limits and Continuity 題號：22線上觀看MP4下載
14.2 Limits and Continuity 題號：26線上觀看MP4下載
14.2 Limits and Continuity 題號：32,38線上觀看MP4下載
14.2 Limits and Continuity 題號：40線上觀看MP4下載
14.3 Partial Derivatives 題號：簡介線上觀看MP4下載
14.3 Partial Derivatives 題號：9線上觀看MP4下載
14.3 Partial Derivatives 題號：37線上觀看MP4下載
14.3 Partial Derivatives 題號：43線上觀看MP4下載
14.3 Partial Derivatives 題號：48線上觀看MP4下載
14.3 Partial Derivatives 題號：64線上觀看MP4下載
14.3 Partial Derivatives 題號：76線上觀看MP4下載
14.4 Tangent Plans and Differentials 題號：簡介線上觀看MP4下載
14.4 Tangent Plans and Differentials 題號：5線上觀看MP4下載
14.4 Tangent Plans and Differentials 題號：14線上觀看MP4下載
14.4 Tangent Plans and Differentials 題號：19線上觀看MP4下載
14.4 Tangent Plans and Differentials 題號：30線上觀看MP4下載
14.4 Tangent Plans and Differentials 題號：36線上觀看MP4下載
14.4 Tangent Plans and Differentials 題號：41線上觀看MP4下載
14.4 Tangent Plans and Differentials 題號：44線上觀看MP4下載
14.4 Tangent Plans and Differentials 題號：45線上觀看MP4下載
14.4 Tangent Plans and Differentials 題號：46線上觀看MP4下載
14.5 The Chain Rule 題號：4線上觀看MP4下載
14.5 The Chain Rule 題號：14線上觀看MP4下載
14.5 The Chain Rule 題號：26,33線上觀看MP4下載
14.5 The Chain Rule 題號：40線上觀看MP4下載
14.5 The Chain Rule 題號：45線上觀看MP4下載
14.5 The Chain Rule 題號：54線上觀看MP4下載
14.5 The Chain Rule 題號：55線上觀看MP4下載
14.5 The Chain Rule 題號：57線上觀看MP4下載
14.6 Directional Derivatives and the Gradient Vector 題號：簡介線上觀看MP4下載
14.6 Directional Derivatives and the Gradient Vector 題號：14線上觀看MP4下載
14.6 Directional Derivatives and the Gradient Vector 題號：31線上觀看MP4下載
14.6 Directional Derivatives and the Gradient Vector 題號：38線上觀看MP4下載
14.6 Directional Derivatives and the Gradient Vector 題號：42線上觀看MP4下載
14.6 Directional Derivatives and the Gradient Vector 題號：58線上觀看MP4下載
14.6 Directional Derivatives and the Gradient Vector 題號：61線上觀看MP4下載
14.6 Directional Derivatives and the Gradient Vector 題號：64線上觀看MP4下載
14.7 Maximum and Minimum Values 題號：簡介線上觀看MP4下載
14.7 Maximum and Minimum Values 題號：4線上觀看MP4下載
14.7 Maximum and Minimum Values 題號：19線上觀看MP4下載
14.7 Maximum and Minimum Values 題號：32線上觀看MP4下載
14.7 Maximum and Minimum Values 題號：47線上觀看MP4下載
14.7 Maximum and Minimum Values 題號：54線上觀看MP4下載
14.7 Maximum and Minimum Values 題號：55線上觀看MP4下載
14.8 Lagrange Multipliers 題號：簡介線上觀看MP4下載
14.8 Lagrange Multipliers 題號：18線上觀看MP4下載
14.8 Lagrange Multipliers 題號：21線上觀看MP4下載
14.8 Lagrange Multipliers 題號：41線上觀看MP4下載
14.8 Lagrange Multipliers 題號：46線上觀看MP4下載
15.1 Double Integrals over Rectangles 題號：13線上觀看MP4下載
15.2 Iterated Integrals 題號：10線上觀看MP4下載
15.2 Iterated Integrals 題號：19線上觀看MP4下載
15.2 Iterated Integrals 題號：23線上觀看MP4下載
15.2 Iterated Integrals 題號：28線上觀看MP4下載
15.2 Iterated Integrals 題號：30線上觀看MP4下載
15.3 Double Integrals over General Regions 題號：21線上觀看MP4下載
15.3 Double Integrals over General Regions 題號：8線上觀看MP4下載
15.3 Double Integrals over General Regions 題號：27線上觀看MP4下載
15.3 Double Integrals over General Regions 題號：31線上觀看MP4下載
15.3 Double Integrals over General Regions 題號：43線上觀看MP4下載
15.3 Double Integrals over General Regions 題號：49線上觀看MP4下載
15.3 Double Integrals over General Regions 題號：51線上觀看MP4下載
15.3 Double Integrals over General Regions 題號：58線上觀看MP4下載
15.4 Double Integrals in Polar Coordinates 題號：9線上觀看MP4下載
15.4 Double Integrals in Polar Coordinates 題號：13線上觀看MP4下載
15.4 Double Integrals in Polar Coordinates 題號：17線上觀看MP4下載
15.4 Double Integrals in Polar Coordinates 題號：25線上觀看MP4下載
15.4 Double Integrals in Polar Coordinates 題號：35線上觀看MP4下載
15.6 Triple Integrals 題號：11線上觀看MP4下載
15.6 Triple Integrals 題號：16線上觀看MP4下載
15.6 Triple Integrals 題號：17線上觀看MP4下載
15.6 Triple Integrals 題號：20線上觀看MP4下載
15.6 Triple Integrals 題號：27線上觀看MP4下載
15.6 Triple Integrals 題號：31線上觀看MP4下載
15.7 Triple Integrals in Cylindrical Coordinates 題號：11線上觀看MP4下載
15.7 Triple Integrals in Cylindrical Coordinates 題號：18線上觀看MP4下載
15.7 Triple Integrals in Cylindrical Coordinates 題號：21線上觀看MP4下載
15.7 Triple Integrals in Cylindrical Coordinates 題號：28線上觀看MP4下載
15.8 Triple Integrals in Spherical Coordinates 題號：4線上觀看MP4下載
15.8 Triple Integrals in Spherical Coordinates 題號：8線上觀看MP4下載
15.8 Triple Integrals in Spherical Coordinates 題號：10線上觀看MP4下載
15.8 Triple Integrals in Spherical Coordinates 題號：12線上觀看MP4下載
15.8 Triple Integrals in Spherical Coordinates 題號：17線上觀看MP4下載
15.8 Triple Integrals in Spherical Coordinates 題號：21線上觀看MP4下載
15.8 Triple Integrals in Spherical Coordinates 題號：25線上觀看MP4下載
15.8 Triple Integrals in Spherical Coordinates 題號：29(a)線上觀看MP4下載
15.8 Triple Integrals in Spherical Coordinates 題號：36線上觀看MP4下載
15.8 Triple Integrals in Spherical Coordinates 題號：39線上觀看MP4下載
15.9 Change of Variables in Multiple Integrals 題號：5線上觀看MP4下載
15.9 Change of Variables in Multiple Integrals 題號：11線上觀看MP4下載
15.9 Change of Variables in Multiple Integrals 題號：13線上觀看MP4下載
15.9 Change of Variables in Multiple Integrals 題號：19線上觀看MP4下載
15.9 Change of Variables in Multiple Integrals 題號：21線上觀看MP4下載
15.9 Change of Variables in Multiple Integrals 題號：23線上觀看MP4下載

課程目標/概述

本課程除了微分積分之方法與計算之外，學習重點在於基本數學觀念的理解。例如中間值定理、平均值定理、極值定理等。這些定理不僅本身有其基本應用的價值，背後也有它們數學的涵義與想法。瞭解這些想法，一方面可以推廣這些定理，另一方面當我們面臨更複雜的問題時，解決問題初步的試探可以以這些基本數學想法做為基礎或做為類比。這是數學做為一種科學思考的價值。

 

課程章節/概述

章節 主題內容
第十一章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
11.8 Power Series
11.9 Representations of Functions as Power Series
11.10 Taylor and Maclaurin Series
11.11 Applications of Taylor Polynomials
第十二章Vectors and the Geometry of Space
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
第十三章Partial Derivatives
14.1 Functions of Several Variables
14.2 Limits and Continuity
14.3 Partial Derivatives
14.4 Tangent Plans and Differentials?
14.5 The Chain Rule
14.6 Directional Derivatives and the Gradient Vector
14.7 Maximum and Minimum Values
14.8 Lagrange Multipliers
第十五章Multiple Integrals
15.1 Double Integrals over Rectangles
15.2 Iterated Integrals
15.3 Double Integrals over General Regions
15.4 Double Integrals in Polar Coordinates
15.5 Application of Double Integrals
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

 

課程書目

Calculus(Early Transcendental), James Stewart, 6th Edition.

課程專區
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