This course is provided by the  NYCU Department of Applied Mathematics .

Calculus is a fundamental tool in various fields such as physics, biology, statistics, astronomy, economics, computer science, and financial engineering. It also serves as a prerequisite for many courses, such as engineering mathematics, differential equations, statistics, and financial mathematics.

Calculus I (B) builds upon the knowledge from Calculus I (A), covering topics such as the convergence and applications of sequences and series, limits and continuity of multivariable functions, partial derivatives, directional derivatives, gradients, and differentiability of functions. The course will also introduce the computation and applications of multiple integrals and conclude with the basics of vector calculus. These topics are crucial for analyzing practical problems in fields such as electromagnetism, fluid mechanics, and economics. This course aims to help students establish a solid understanding of the fundamental theories and computational techniques of multivariable calculus, which will be useful for subsequent courses and research.

Textbook：

Stewart, James. Calculus: Early Transcendentals., 8th ed. Cengage Learning, 2015.

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