Math 106 Integral Calculus
Course Description
Riemann Sums, Area, Fundamental theorem of Calculus, Definite Integrals, Numerical integration. Transcendental Functions, their differentiation and integration, Indeterminate forms. All sorts of techniques of integrations, Improper integrals. Applications of integrations. Particularly Area, volume, arc lengths. Integrals in Polar coordinates. Parametric Equations for the curves.
Prerequisite: Math150
Required Text Book:
MATH 225 : Introduction to Differential Equations (E)
4 (3+1+0) credit hours
Classification of Differential equations and their origins, Methods of solution of first order differential equations, orthogonal trajectories,
Linear equations with constant coefficients and variable coefficient,
Linear system of equations, power series solutions of linear differential equation of the second order with polynomial coefficients, Laplace transform and the convolution, Fourier's series. Prerequisite : MATH 201