Calculus II

  • Computer Science |
  • English

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

Computer Science - 2021

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
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
16Final 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.

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