課程資訊

CALCULUS (GENERAL MATHEMATICS) (A)(2)

97-2

MATH1202

201 101A2

10

11. 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
13. Vector Functions
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
14. Partial Derivatives
14.1 Functions of Several Variables
14.2 Limits and Continuity
14.3 Partial Derivatives
14.4 Tangent Planes 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
15. 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 Applications 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
16. Vector Calculus
16.1 Vector Fields
16.2 Line Integrals
16.3 The Fundamental Theorem for Line Integrals
16.4 Green's Theorem
16.5 Curl and Divergence
16.6 Parametric Surfaces and Their Areas
16.7 Surface Integrals
16.8 Stokes' Theorem
16.9 The Divergence Theorem
16.10 Summary

Study sequences and series to understand the process of approximation; learn the skills estimate and control the errors of approximation; acquaint with the tools and techniques for analyzing regular multi-variable mappings and vector fields.

08-12班：上課時間：三78 五12 、 實習課時間：三9
13班： 上課時間：二78 四56 、 實習課時間：二9

High School Mathematics

Office Hours

James Stewart, Calculus Early Transcendentals, 6th edition.

(僅供參考)

 No. 項目 百分比 說明 1. Midterm exam: 40% 2. Final exam 40% 3. Quizzes and/or homework 20%

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