The course should enable the student to:
 Grasp the various techniques of integration
 Perceive the partial derivatives in dealing with functions of two and three variables
 Conceive multiple integration
 Realize the mathematical model to formulate the governing differential equation of a problem and predict the solution under different sets of conditions

The students should be able to:
 Apply various techniques of integration
 Employ definite integrals to find area between two curves, volume, arc length, work, power and energy
 Deal with indeterminate forms and improper integrals
 Recognize integrals with infinite limits of integration
 Carry out partial derivatives
 Find total differential and approximations
 Treat integration by partial fractions
 Deal with functions of several variables and carry out multiple integrals
 Deal with infinite series and test for convergence and divergence
 Operate with conic sections and polar coordinate system with applications
 Differentiate and integrate power series
 Be familiar with numerical approximations of integrals
 Formulate the differential equation by using mathematical model approach to represent a realistic situation and find the solutions which predict the behavior under various boundary conditions
