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

Intelligent Systems

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.

Textbook

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

Course Content

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

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.

Degree Bachelor
Code: BA102
Credit hrs: 3
Prequisites: BA101

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Calculus II