微積分甲(二)

Visualization: draw graphs Logics: try to understand the mathematical arguments and proofs Operation: limit, differentiation, integration, other computational techniques

Passion to study, 微積分(一)

無備註

Materials: I am planning to make lecture note for each lecture. Exercises: Before the exams we are planning to have several exercises. TAs: Min-Jun Cai (蔡旻均) and Ya-Chi Wang (王雅琪)

Grade: Quiz , Attendance and Study Attitude [20%], Midterm Exam [25%], Report [25%], and 期末微積分會考佔 (Final Exam) [30%] - Quiz: We are planning to have a Quiz once in a week. Total number of Quiz will be 14 times and questions will come from the exercise in the textbook in principle. The range of the quiz will be announced at the end of the lecture beforehand. - Attendance: The attendance of lectures is not mandatory. The quality of lectures should depend not only on instructor but also on cooperation of students. Therefore, I would like to give some bonus to the students who attend lectures. - Study Attitude: Some students sometimes cannot get pay off for their efforts in examination. We are planning to have something to evaluate students' study attitude and efforts. - Midterm Exam: We are planning to have two midterm exams. - Report: We are planning to have one report in this course. The more detail information will be given in the first lecture and will be on this system after the first lecture.

• 課綱內容可能微調,以正式上課前公佈版本為準

• Ch11 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

  講授：

  15 hours

• ◆Ch12 Vectors and the Geometry of Space (選教)

  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 12.6 Cylinders and Quadric Surface

  講授：

  3 hours

• Ch13 Vector Functions (◆處為選教)

  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

  講授：

  3 hours

• Ch14 Partial Derivatives

  14.1 Functions of Several Variables 14.2 Limits and Continuity 14.3 Partial Derivatives 14.4 Tangent Plans 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

  講授：

  16 hours

• Ch15 Multiple Integrals (◆處為選教)

  15.1 Double Integrals over Rectangles 15.2 Double Integrals over General Regions 15.3 Double Integrals in Polar Coordinates ◆15.4 Application of Double Integrals 15.5 Surface Area 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

  講授：

  11 hours

• ◆Ch16 Vector Calculus (◆處為選教)

  ◆ 16.1 Vector Fields ◆ 16.2 Line integrals ◆ 16.3 The fundamental Theorem for line integrals ◆ 16.4 Green's Theorem

  講授：

  0 hour

Calculus(Early Transendentals), James Stewart, 8th Edition

地點

Instructor: SC207 TA: SC207

時間

Instructor: TBA TA: TBA

聯絡方式

Basically, you can contact the instructor and TAs via New e3 system. Instructor - Email: y.chino@math.nctu.edu.tw - Office: SA239