1. ECIV 301 Programming & Graphics Numerical Methods for Engineers

2. Modeling and Solutions Physical Problem Mathematical Model Numerical Analytical or Exact Methods e.g. Structure, River e.t.c. Fundamental Laws Differential Equations

3. Numerical Methods Techniques by which mathematical problems are formulated so that they can be solved with arithmetic operations

4. Example Integrate some crazy *&% function

5. Example a=x 1 x2x2 x3x3 x4x4 x5x5 x6x6 x 7 =b

6. Example 1-DOF Oscillator

7. 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

8. Welcome and Enjoy the Ride!