課程資訊

Calculus (general Mathematics) (a)(2)

106-2

MATH1202

201 101A2

09

4.0

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1062MATH1202_09

https://cool.ntu.edu.tw/courses/course-v1:NTU+MATH1202+2018_S/

This course will cover the following topics:
1. Infinite sequences, series, and power series
2. Vector functions
3. Functions of several variables
4. Multiple integrals
5. Vector calculus ( Green's theorem, Stokes' theorem and the divergence theorem )

After completing this course, students should be well versed in the mathematical language needed for applying the concepts of calculus to numerous applications in science and engineering. They should also be well prepared for courses in differential equations, linear algebra, or advanced calculus.

Office Hours

Textbook: James Stewart, Calculus Early Transcendentals, 8th edition.

數學知識網站: http://episte.math.ntu.edu.tw/cgi/mathfield.pl?fld=cal
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 No. 項目 百分比 說明 1. Homework and Quizzes 30% There will be weekly homework and 6 quizzes (3/21, 4/11, 5/2, 5/23, 6/6, 6/20) given in the discussion sections. Some homework will be assigned on WebWork. WebWork: http://webwork.math.ntu.edu.tw/webwork2/ 2. Midterm Exam 35% 5/5 (Sat) 9:00-11:30 3. Final Exam 35% 6/23 (Sat) 9:00-11:30

 課程進度
 週次 日期 單元主題 第1週 2/28,3/02 11.1: Sequences 教學影片 11-1： https://cool.ntu.edu.tw/courses/course-v1:NTU+MATH1202+2018_S/ 第2週 3/07,3/09 11.2: Series 11.3: The Integral Test and Estimates of Sums 11.4: The Comparison Tests 第3週 3/14,3/16 11.5: Alternating Series 11.6: Absolute Convergence and the Ratio and Root Tests 11.7: Strategy for Testing Series 第4週 3/21 (Quiz 1), 3/23 11.8: Power Series 11.9: Representations of Functions as Power Series 第5週 3/28,3/30 11.10: Taylor and Maclaurin Series 11.11: Applications of Taylor Polynomials 12.6: Cylinders and Quadric Surfaces 第6週 3/31 (補課), 4/04,4/06(Spring Break) 13.1: Vector Functions and Space Curves 13.2: Derivatives and Integrals of Vector Functions 第7週 4/11 (Quiz 2), 4/13 13.3: Arc Length and Curvature 14.1: Functions of Several Variables 14.2: Limits and Continuity 第8週 4/18,4/20 14.3: Partial Derivatives 14.4: Tangent Planes and Linear Approximation 14.5: The Chain Rule 第9週 4/25,4/27 14.6: Directional Derivatives and the Gradient Vector 14.7: Maximum and Minimum Values 第10週 5/02 (Quiz 3), 5/04 14.8: Lagrange Multipliers Midterm on 5/05 第11週 5/09,5/11 15.1:Double Integrals over Rectangles 15.2: Double Integrals over General Regions 15.3: Double Integrals in Polar Coordinates 第12週 5/16,5/18 15.4: Applications of Double Integrals 15.5: Surface Area 15.6: Triple Integrals 第13週 5/23 (Quiz 4), 5/25 15.7: Triple Integrals in Cylindrical Coordinates 15.8: Triple Integrals in Spherical Coordinates 15.9: Change of Variables in Multiple Integrals 第14週 5/30,6/01 16.1: Vector Fields 16.2: Line Integrals 16.3: The Fundamental Theorem for Line Integrals 第15週 6/06 (Quiz 5), 6/08 16.4: Green's Theorem 16.5: Curl and Divergence 16.6: Parametric Surfaces and Their Areas 第16週 6/13,6/15 16.7: Surface Integrals 16.8: Stokes' Theorem 16.9: The Divergence Theorem 第17週 6/20 (Quiz 6) , 6/22 16.10: Summary Final Exam on 6/23.