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ECIV 301 Programming & Graphics Numerical Methods for Engineers
Modeling and Solutions Physical Problem Mathematical Model Numerical Analytical or Exact Methods e.g. Structure, River e.t.c. Fundamental Laws Differential Equations
Numerical Methods Techniques by which mathematical problems are formulated so that they can be solved with arithmetic operations
Example Integrate some crazy *&% function
Example a=x 1 x2x2 x3x3 x4x4 x5x5 x6x6 x 7 =b
Example 1-DOF Oscillator
Numerical Methods and Engineering Practice Powerful problem-solving tools Commercial software is based on numerical methods Commercial software not always available for the problem at hand Learn to use computers Understand Mathematics
Welcome and Enjoy the Ride!
Numerical Solutions of Differential Equations Euler’s Method.
For Educational Use Only © 2010 Benchmark 10 I can solve absolute value equations.
Solving Equations = 4x – 5(6x – 10) -132 = 4x – 30x = -26x = -26x 7 = x.
Solving homogeneous equations: Ax = 0 Putting answer in parametric vector form Isabel K. Darcy Mathematics Department Applied Math and Computational Sciences.
Numerical Methods for Engineers MECH 300 Hong Kong University of Science and Technology.
Mech300 Numerical Methods, Hong Kong University of Science and Technology. 1 Part Seven Ordinary Differential Equations.
ECIV 301 Programming & Graphics Numerical Methods for Engineers Lecture 6 Roots of Equations Bracketing Methods.
Chapter 1 Introduction The solutions of engineering problems can be obtained using analytical methods or numerical methods. Analytical differentiation.
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ECIV 301 Programming & Graphics Numerical Methods for Engineers Lecture 20 Solution of Linear System of Equations - Iterative Methods.
ECIV 301 Programming & Graphics Numerical Methods for Engineers Lecture 19 Solution of Linear System of Equations - Iterative Methods.
ECIV 301 Programming & Graphics Numerical Methods for Engineers Lecture 2 Mathematical Modeling and Engineering Problem Solving.
The Islamic University of Gaza Faculty of Engineering Numerical Analysis ECIV 3306 Introduction.
Technical Question Technical Question
The Islamic University of Gaza Faculty of Engineering Civil Engineering Department Numerical Analysis ECIV 3306 Chapter 1 Mathematical Modeling.
ECIV 301 Programming & Graphics Numerical Methods for Engineers Lecture 27 Numerical Integration & Differentiation.
Copyright © 2006 The McGraw-Hill Companies, Inc. Permission required for reproduction or display. 1 Mathematical Modeling and Engineering Problem solving.
1Chapter 2. 2 Example 3Chapter 2 4 EXAMPLE 5Chapter 2.
First Order Linear Equations Integrating Factors.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 5.4 Fundamental Theorem of Calculus.
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