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The Islamic University of Gaza Faculty of Engineering Civil Engineering Department

The Islamic University of Gaza Faculty of Engineering Civil Engineering Department Numerical Analysis ECIV 3306 Introduction Course Outline. Introduction. Solve. Numerical Methods - Definition. Numerical Methods

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The Islamic University of Gaza Faculty of Engineering Civil Engineering Department

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  1. The Islamic University of Gaza Faculty of Engineering Civil Engineering Department Numerical Analysis ECIV 3306 Introduction Course Outline

  2. Introduction • Solve

  3. Numerical Methods - Definition Numerical Methods Numerical methods are techniques by which mathematical problems are formulated so that they can be solved with arithmetic operations. Numerical methods involve large numbers of tedious arithmetic calculations. These methods have gained popularity due to the advancements in efficient computational tools such as digital computers and calculators.

  4. Numerical Methods Noncomputer methods • Analytical or exact methods • Graphical solutions used to solve complex problems but the results are not very precise. They are extremely tedious without computers  limited problems. • Calculators

  5. Numerical vs. Analytical Methods Analytical Methods • Solution have been derived for some engineering problems using analytical (or exact) methods. • In general there are few closed-form engineering or exact solutions including problems that can be approximated with linear models or that have simple geometry and low dimensionality. • These solutions are often useful and provide excellent insight into the behavior of an engineering system.

  6. Numerical vs. Analytical Methods Examples: Analytical Methods

  7. Numerical vs. Analytical Methods Need for Numerical Methods In general, there are few analytical (closed-form) solutions for many practical engineering problems. Numerical methods can handle: Large systems of equations Non-linearity Complicated geometries that are common in engineering practice and that are often impossible to solve analytically. Examples:

  8. Mathematician and Engineer The thinking of engineers toward mathematics has always been different from that of mathematicians. Mathematician may be interested in finding out whether a solution to a differential equation exists. An engineer simply assumes that the existence of a physical system is proof enough of the existence of a solution and focuses instead on finding it.

  9. Course Content Not covered 

  10. Course Content (continued)

  11. Course Content (continued)

  12. Course Outline Text Book: Numerical Methods for Engineers, S. C. Chapra & R. P. Canale, Fourth Edition, McGraw-Hill Inc. UK, 2002 Exams and Grading Policy Homework, Quizzes and Programming Assignment 25 points Midterm Exam 25 points Final Exam 50 points Total 100 points

  13. Course Outline

  14. Course Outline

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