Our main course page would be on NTU COOL.
https://cool.ntu.edu.tw/courses/804

This course will be conducted in English.

As a continuation of the course MATH1201 Calculus A (1), in which Calculus on functions of a single (real) variable is discussed, this course turns to an introduction (and applications) of multivariable (mainly 2- and 3-variable) Calculus, which is the foundation for various disciplines in Science and Engineering.

Topics to be discussed include the definitions of directional, partial derivatives and double, triple, line, surface integrals (together with their geometric meanings), the method of Lagrange Multipliers in resolving extreme-value problems with constraints in mutlivariables, and Green's, Stokes', Divergence Theorem, which can be regarded as multivariable version of the Fundamental Theorem of Calculus.

Finally, to complete the discussion on limits of a function or a (infinite) sum of functions in the course of the study of Calculus, the definitions of limits of sequences and series are also introduced, which provide the theoretical basis of the introduction of a `power series'. `Power series' is a generalisation of polynomials and can be used to represent elementary as well as more general functions, which paves the way for more advanced analysis of functions, necessary in practical applications.

Definitions are discussed and the most important theorems are derived in the lectures with a view to help students to develop their abilities in logical deduction and analysis. Practical applications of Calculus in various fields are illustrated in order to promote a more organic interaction between the theory of Calculus and students' own fields of study. This course also provides discussion sections in which students are able to make their skills in handling calculations in Calculus more proficient under the guidance of our teaching assistants.