课程简介
This course is the second part of an accelerated single-variable calculus sequence. It is designed
to deepen students’ understanding of fundamental calculus concepts through a balance of
theoretical analysis and computational techniques. The course covers transcendental functions,
methods of integration, sequences and series, and calculus in alternative coordinate systems,
with an emphasis on formal definitions, logical reasoning, and clear mathematical
communication. Students will develop the ability to perform advanced calculations, construct
and justify mathematical arguments, and analyze relationships between key concepts. The
course aims to strengthen both technical proficiency and conceptual understanding, providing a
foundation for further study in advanced mathematics such as differential equations and
multivariable calculus.
