Course Description
This course is designed for students who need to acquire the knowledge and skills of multivariablecalculus at a high standard. The course emphasizes more the fundamental principle and
thinking of mathematics. Thus, even in the discussion of applications, generality instead of
particular usage will be the focus.
Students are expected to have a good understanding of one-variable calculus, algebraic and
analytical manipulations of elementary functions, and a good command of coordinate geometry.
Students should expect a high level of abstraction in mathematics and a rather fast pace of
the lectures. Students will acquire calculation techniques during tutorial classes. In addition,
students should consolidate the concepts by reading the textbook and working out exercises on
their own. Besides attending lectures and tutorials, students are expected to spend at least
3 hours a week on this course.
The course will follow roughly the contents of the textbook; with some rearrangement in the
sequence of the topics. Learning in this course is not restricted by syllabus. The course
content is not dened by the lectures, nor lecture notes, nor textbooks.
CUHK
MATH2010 Advanced Calculus I