微積分甲(二)

In Calculus II, a lot of important knowledge for engineering, computer science and so on. Our goal is to learn and understand these topics. We will evaluate your effort and challenge for understanding. If you just copy form something and don't consider by yourself, you cannot pass this course. I expect students to study Calculus for at least 2 hours in a day. I will set the difficulty, average of this course (Midterm Exams, Reports) for student who studies 2 hours in a day, which means that if you cannot study at least for 2 hours, it will be difficult to pass this course. In the end, now you are university students, which means that you are ''professional'' students.

微積分甲(一), which means that you need to obtain at least grade D in Calculus I. At least you can do differentiation, integration and computation of limit.

無備註

Office Hour is really useful for you. Discuss and talk about Mathematics will be good for logical thinking.

We evaluate your grade by Enthusiasm, Mathematical knowledge, techniques, logic and argument About the weight of grading, Midterm Exam (40%) and Final Exam (30%) are fixed. We will have Reports and Quizzes for other 30%. The percentage might be changed due to the situation of COVID-19 infection spreading. The details will be uploaded on e3 system.

• 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

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

  ◆ 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 Surfaces

  講授：

  3

• Ch13. Vector Functions (◆為選教部分)

  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

• Ch14. 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

  講授：

  16

• Ch15. Multiple Integrals (◆部分為選教)

  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

• Ch16. ◆ Vector Calculus (◆部分為選教)

  ◆ 16.1 Vector Fields ◆ 16.2 Line Integrals ◆ 16.3 The Fundamental Theorem for line integrals ◆ 16.4 Green’s Theorem

Calculus(Early Transcendentals), James Stewart, 9th Edition

地點

@SC207 or @SA239

時間

Thursday 16:00-18:00 (tentatively) If you have a question and it is difficult to solve by yourself, don't hesitate to ask your instructor.

聯絡方式

y.chino@math.nctu.edu.tw