Calculus is one of the most important parts of mathematics. It is fundamental to all of modern science. Calculus is a compilation of ideas that provides a way of viewing and analyzing the physical world. As with all mathematics courses, Calculus involves equation and formulas.
The primary goal of this edition is to foster conceptual understanding and applicability of the subject matter.
This edition provides many examples, exercises and modules to provide the student a sense of how calculus can be applied.
The course continues Calculus I where students have learned about limits and derivatives. The main objectives of Calculus II include teaching the student the basic techniques of integration for functions of one variable, and introduce to them the notation of infinite series and their convergence and divergence criteria, and how they can be used in approximation techniques, as well as many applications of the integral to physical problems such as computing areas, surfaces and volumes. By the end of the course, the students could be well prepared to take mere advanced courses in Math, such as differential equations, as well as be able to apply their knowledge to solve practical problems they encounter in physical sciences and engineering.
CH 5: Parametric And Polar Curves; Conic Sections.
CH 6: Three-Dimensional Space; Vectors.