# Calculus 2

• College Of Computing & Information Technology |

#### 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

Software Engineering bachelor`s degree Program

#### Objectives

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

#### Textbook

Sherman K.Stein, Anthony Barcellos, Calculus & Analytic Geometry, McGraw-Hill Higher Education.

#### Course Content

content serial Description
1Definition of indefinite integrals & Table of famous integrals.
2Simple rules of integration & the fundamental theorem of calculus.
3Integration by parts
4Integration by parts & integration of rational functions.
5Integration of rational functions.
6Integration of Trigonometric powers.
7Trigonometric substitution.
8Integration of quadratic forms and the Reduction formulas.
9Definite integration. Areas and Volumes.
10Length of the curve. Average of a function & numerical integration.
11Matrix Algebra.
12Solution of system of linear equations.
13Eigenvalues and Eigenvectors.
14Physical meaning of Eigenvalues and Eigenvectors & Cayley
15Hamilton theorem.
1Definition of indefinite integrals & Table of famous integrals.
2Simple rules of integration & the fundamental theorem of calculus.
3Integration by parts
4Integration by parts & integration of rational functions.
5Integration of rational functions.
6Integration of Trigonometric powers.
7Trigonometric substitution.
8Integration of quadratic forms and the Reduction formulas.
9Definite integration. Areas and Volumes.
10Length of the curve. Average of a function & numerical integration.
11Matrix Algebra.
12Solution of system of linear equations.
13Eigenvalues and Eigenvectors.
14Physical meaning of Eigenvalues and Eigenvectors & Cayley
15Hamilton theorem.

#### Markets and Career

• Generation, transmission, distribution and utilization of electrical power for public and private sectors to secure both continuous and emergency demands.
• Electrical power feeding for civil and military marine and aviation utilities.
• Electrical works in construction engineering.