In the first semester, we will cover the following topics:
Chapter1 Functions,
Chapter 2 Limits and Continuity,
Chapter 3 Differentiation,
Chapter 4 Applications of Derivatives,
Chapter 5 Integration,
Chapter 6 Applications of Definite Integrals,
Chapter 7 Integrals and Transcendental Functions,
Chapter 8 Techniques of Integration, and
Chapter 11 Infinite Sequences and Series.

In the second semester, we will cover the following topics:
Chapter 10 Conic Sections and Polar Coordinates
Chapter 12 Vectors and the Geometry of Space
Chapter 13 Vector-Valued Functions and Motion in Space
Chapter 14 Partial Derivatives
Chapter 15 Multiple Integrals
Chapter 16 Integration in Vector Fields
Chapter 9 Further Applications of Integration
Chapter 11 Infinite Sequences and Series

More details about the course, please visit the course homepage: http://www.math.ntu.edu.tw/~cala961/