1. Villanova University Dept. of Civil & Environmental Engineering CEE 3702 Numerical Analysis 1 CEE 3702 Numerical Analysis Fall 2000 Dr. David W. Dinehart

2. Villanova University Dept. of Civil & Environmental Engineering CEE 3702 Numerical Analysis 2 Background Structural Engineer Bucknell University, BSCE and MSCE Bechtel Power Corporation –4 years of designing BIG structures University of Delaware, PhD Villanova University, Fall of 1998

3. Villanova University Dept. of Civil & Environmental Engineering CEE 3702 Numerical Analysis 3 Lesson Objectives Start learning your names Course overview Identify expectations Define and identify Numerical Methods Topics to be covered

4. Villanova University Dept. of Civil & Environmental Engineering CEE 3702 Numerical Analysis 4 Course Overview Attendance and Punctuality –Come on Time –Don’t Walk Out Mid-Lecture Room –Nice Facility –No Food or Drink –Microphones - Noise –Computers - Wildcard (Upstairs)

5. Villanova University Dept. of Civil & Environmental Engineering CEE 3702 Numerical Analysis 5 Course Overview - Continued Text Syllabus Grading Exams Group Project Turn in a sheet with the names of your group members by next Monday

6. Villanova University Dept. of Civil & Environmental Engineering CEE 3702 Numerical Analysis 6 Homework Requirements Performed on Engineering Paper or Computer Include problem statement Figure/Sketch (use straight edge) Equations Units Significant Figures Stapled Group work No late homework No inferior homework Solutions posted on website

7. Villanova University Dept. of Civil & Environmental Engineering CEE 3702 Numerical Analysis 7 What are Numerical Methods? Numerical Methods are a class of methods for solving a wide variety of mathematical problems/engineering systems In our case, these mathematical problems will be representing engineering systems

8. Villanova University Dept. of Civil & Environmental Engineering CEE 3702 Numerical Analysis 8 Mathematical Representation of a Physical System Load on a Beam Flow in a Stream

9. Villanova University Dept. of Civil & Environmental Engineering CEE 3702 Numerical Analysis 9 Topics to be Covered Formulation and Error Finding Roots of an Equation Linear Algebra - Matrices Curve Fitting Numerical Integration Numerical Derivatives Ordinary Differential Equations

10. Villanova University Dept. of Civil & Environmental Engineering CEE 3702 Numerical Analysis 10 Numerical Methods Numerical methods only employ arithmetic operations and logic; therefore, they are ideally suited for computer application We won’t be doing a lot of “programming”; we will do some and we will look at some (Excel, Existing Software)

11. Villanova University Dept. of Civil & Environmental Engineering CEE 3702 Numerical Analysis 11 Applicability of Numerical Methods In this course we want to understand the various types of numerical methods so that we know capabilities and limitations

12. Villanova University Dept. of Civil & Environmental Engineering CEE 3702 Numerical Analysis 12 Important Limitations 1. No complex physical situation can be exactly simulated mathematically 2. No numerical method is trouble-free in all situations 3. No numerical method is completely error-free 4. No numerical method is optimal for all situations

13. Villanova University Dept. of Civil & Environmental Engineering CEE 3702 Numerical Analysis 13 Important Limitations There is a lot of overlap between 2, 3, and 4 This is where we will focus Number 1 is very important, but beyond our focus You will get this in your other courses

14. Villanova University Dept. of Civil & Environmental Engineering CEE 3702 Numerical Analysis 14 Homework Use Excel to create a table of your schedule Borders/Shading Fonts Color Column Width Play with some commands

15. Villanova University Dept. of Civil & Environmental Engineering CEE 3702 Numerical Analysis 15 Bad Homework

16. Villanova University Dept. of Civil & Environmental Engineering CEE 3702 Numerical Analysis 16 Better Homework