《Calculus II》是電子科技大學提供的慕課課程，授課老師是費銘崗。
基本介紹
- 中文名：Calculus II
- 提供院校：電子科技大學
- 類別：慕課
- 授課老師：費銘崗
課程大綱,參考教材,
課程大綱
The First Week: 10 Infinite Sequences and Series
10.1 Definition of Sequence
10.5 Convergence of Infinite Series
10.2 Calculating the limit of Sequence I
10.3 Calculating the limit of Sequence II
10.4 Definition of Infinite Series
The Second Week: 10 Infinite Sequences and Series
10.8 Comparison Test I
10.11 Root Test
10.7 Integral Test II
10.6 Integral Test I
10.10 Ratio Test
10.9 Comparison Test II
The Third Week: 10 Infinite Sequences and Series
10.16 Taylor Series
10.14 Power Series I
10.17 Convergence of Taylor Series
10.12 Alternating Series I
10.15 Power Series II
10.13 Alternating Series II
Unit Test-CH10
The Fourth Week: 11 Parametric Equations and Polar Coordinates
11.6 Conic Sections
11.4 Areas in Polar Coordinates
11.3 Polar Coordinates
11.2 Calculus of Parametric Curves
11.5 Length in Polar Coordinates
11.1 Parametric Equations
The Fifth Week: 13 Vector-Valued Functions
13.3 Arc Length
13.2 Integrals of Vector-valued Functions
13.1 Curves in Space and Their Tangents
Unit Test-CH11, 12, 13
The Fifth Week: 12 Vectors and Geometry in Space
12.1 Three-Dimensional Coordinate and Vectors
12.2 Vector Products
12.3 Line and Plane in Space
The Sixth Week: 14 Partial Derivatives
14.1 Functions of several variables
14.5 Partial Derivatives II
14.6 Partial Derivatives III
14.4 Partial Derivatives I
14.3 Limits and Continuity II
14.2 Limits and Continuity I
The Seventh Week: 14 Partial Derivatives
14.7 The Chain Rule
14.9 Directional Derivatives II
14.10 Tangent Planes
14.8 Directional Derivatives I
The Eighth Week: 14 Partial Derivatives
14.13 Lagrange Multipliers Method
14.12 Extreme Values II
14.11 Extreme Values I
Unit Test-CH14
The Ninth Week: 15 Multiple Integrals
15.3 Double Integrals over General Regions I
15.1 Double Integrals over Rectangles I
15.2 Double Integrals over Rectangles II
15.4 Double Integrals over General Regions II
15.5 Area by Double Integration
The Tenth Week: 15 Multiple Integrals
15.7 Double Integrals in Polar Form II
15.6 Double Integrals in Polar Form I
15.8 Triple Integrals in Rectangular Coordinates
The Eleventh Week: 15 Multiple Integrals
15.11 Triple Integrals in Spherical Coordinates I
15.12 Triple Integrals in Spherical Coordinates II
15.9 Triple Integrals in Cylindrical Coordinates I
15.10 Triple Integrals in Cylindrical Coordinates II
Unit Test-CH15
The Twelfth Week: 16 Integrations of Vector Fields
16.4 Line Integrals of Vector Fields III
16.3 Line Integrals of Vector Fields II
16.2 Line Integrals of Vector Fields I
16.1 Line Integrals
The Thirteenth Week: 16 Integrations of Vector Fields
16.8 Green’s Theorem in the Plane II
16.6 Conservative Fields
16.7 Green’s Theorem in the Plane I
16.5 Path Independence
The Fourteenth Week: 16 Integrations of Vector Fields
16.15 Divergence Theorem
16.16 Unified Theory of Calculus
16.9 Surface and Area I
16.13 Stokes' Theorem I
16.12 Surface Integrals II
16.10 Surface and Area II
16.14 Stokes' Theorem II
16.11 Surface Integrals I
Unit Test-CH16
參考教材
《Thomas' Calculus》, G. B. Thomas, M. D. Weir and J. R. Hass, 12th edition, Pearson's company,
