Calculus II

Course Aim:
This course continues with the study of calculus focusing on integral calculus and its applications. It also extends the idea of integration to multivariable functions. The course provides a basic introduction to series and power series expansion.
Course contents:
Integration techniques (integrate by substitution, integrate with partial fractions, integrate by reduction, use trigonometric substitutions) – Definite and indefinite integrals – Improper integrals – Numerical integration – Multiple integrals – Applications include finding the length of a plane curve, planar areas, areas of surfaces of revolution and volumes of revolution – Sequences and series, infinite series, convergence and divergence test for series and power series expansion.