课件内容:
The First Week: 10 Infinite Sequences and Series
10.1 Definition of Sequence
10.2 Calculating the limit of Sequence I
10.3 Calculating the limit of Sequence II
10.4 Definition of Infinite Series
10.5 Convergence of Infinite Series
The Second Week: 10 Infinite Sequences and Series
10.8 Comparison Test I
10.9 Comparison Test II
10.10 Ratio Test
10.11 Root Test
10.6 Integral Test I
10.7 Integral Test II
The Third Week: 10 Infinite Sequences and Series
10.12 Alternating Series I
10.13 Alternating Series II
10.14 Power Series I
10.15 Power Series II
10.16 Taylor Series
10.17 Convergence of Taylor Series
PPT-Chapter 10
Unit Test-CH10
The Fourth Week: 11 Parametric Equations and Polar Coordinates
11.1 Parametric Equations
11.2 Calculus of Parametric Curves
11.3 Polar Coordinates
11.4 Areas in Polar Coordinates
11.5 Length in Polar Coordinates
11.6 Conic Sections
PPT-Chapter 11
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
PPT-Chapter 12
The Fifth Week: 13 Vector-Valued Functions
13.1 Curves in Space and Their Tangents
13.2 Integrals of Vector-valued Functions
13.3 Arc Length
PPT-Chapter 13
Unit Test-CH11, 12, 13
The Sixth Week: 14 Partial Derivatives
14.1 Functions of several variables
14.2 Limits and Continuity I
14.3 Limits and Continuity II
14.4 Partial Derivatives I
14.5 Partial Derivatives II
14.6 Partial Derivatives III
PPT-Chapter 14—Part I
The Seventh Week: 14 Partial Derivatives
14.7 The Chain Rule
14.8 Directional Derivatives I
14.9 Directional Derivatives II
14.10 Tangent Planes
PPT-Chapter 14—Part II
The Eighth Week: 14 Partial Derivatives
14.11 Extreme Values I
14.12 Extreme Values II
14.13 Lagrange Multipliers Method
Unit Test-CH14
The Ninth Week: 15 Multiple Integrals
15.1 Double Integrals over Rectangles I
15.2 Double Integrals over Rectangles II
15.3 Double Integrals over General Regions I
15.4 Double Integrals over General Regions II
15.5 Area by Double Integration
PPT-Chapter 15
The Tenth Week: 15 Multiple Integrals
15.6 Double Integrals in Polar Form I
15.7 Double Integrals in Polar Form II
15.8 Triple Integrals in Rectangular Coordinates
The Eleventh Week: 15 Multiple Integrals
15.9 Triple Integrals in Cylindrical Coordinates I
15.10 Triple Integrals in Cylindrical Coordinates II
15.11 Triple Integrals in Spherical Coordinates I
15.12 Triple Integrals in Spherical Coordinates II
Unit Test-CH15
The Twelfth Week: 16 Integrations of Vector Fields
16.1 Line Integrals
16.2 Line Integrals of Vector Fields I
16.3 Line Integrals of Vector Fields II
16.4 Line Integrals of Vector Fields III
PPT-Chapter 16—Part I
The Thirteenth Week: 16 Integrations of Vector Fields
16.5 Path Independence
16.6 Conservative Fields
16.7 Green’s Theorem in the Plane I
16.8 Green’s Theorem in the Plane II
PPT-Chapter 16—Part II
The Fourteenth Week: 16 Integrations of Vector Fields
16.9 Surface and Area I
16.10 Surface and Area II
16.11 Surface Integrals I
16.12 Surface Integrals II
16.13 Stokes\’ Theorem I
16.14 Stokes\’ Theorem II
16.15 Divergence Theorem
16.16 Unified Theory of Calculus
Unit Test-CH16
Former Exam papers
2017-2018-2_Final
2018-2019-2_Final
2019-2020-2_Final
《Calculus II》PPT课件 电子科技大学 费铭岗
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