Description

This course provides the differentiation of indefinite integrals and table of famous integrals. The topics of interest include simple rules of integration & the fundamental theorem of calculus, fundamental theorem of calculus and integration by parts, integration of rational function, integration of trigonometric powers, trigonometric substitution, and integration of quad forms, the reduction formulas and definite integration. Application of integration: Area and volume, length of curve, average of function, numerical integration, matrix Algebra. And solution of systems of linear equations. It also illustrates solving systems of linear equations which leads to the algebra of matrices, determinants, vector spaces, bases and dimensions.

Program

Information Systems (2024)

Objectives

• 1. Integrate different types of functions using various methods (Integrating by substitution, integration by parts).
  2. Understand and use the applications of integration (Area & volume, average of a function, length of a curve).
  3. Learn the basic theory of linear algebra
  4. Solve system of linear equations using matrices, and determinants.