Description

Reimann Integrals, Integration techniques (integration by parts, substitution, trigonometric methods of integration, Bioche rule) , Applications of integration, Improper integrals, Laplace Transform, Ordinary differential equations, Numerical Series Taylor series , Asymptotic comparison .

Compétences requises

Compétences visées

At the end of this course, student will learn to evaluate integrals using various methods such as, integration by parts, substitution, trigonometric substitutions, and partial fractions; apply the concepts of definite integrals to solve problems involving area, volume, and area of surface of revolution. Students will be able to determine the region of convergence of a series, determine the Taylor and MacLaurin series of a function. Students will understand the basic theory of ordinary differential equations (ODE) and to develop methods for solving ODE.