CEE 305 Civil & Environmental Engineering Computations

CEE 305: Civil & Environmental Engineering Computations (Required for a BSEnvE degree)

Introduction to selected numerical methods and their specific applications to solving problems in many of the areas of Civil & Environmental Engineering. Further development of computer programming proficiency. Lecture 3 hours; 3 credits.

Math 307U (Ordinary Differential Equations)
CS 150 (Introduction to Programming)
and Junior Standing Numerical Methods For Engineers (4-th edition), by Chapra and Canale, McGraw-Hill, 2002

Reference:
Intro to Probability and Statistics (10th Ed.) by Mendenhall, Beaver, and Beaver (Brooks/Cole Publishing Co.) Students completing this course successfully will be able to

1. understand useful computing techniques for solving GENERAL, and PRACTICAL (multidisciplinary) engineering problems.
2. integrate computer applications into practical engineering solutions.
3. solve basic problems which involve with probabilistic and statistical theories
4. understand and compute numerical errors corresponding to different numerical algorithms
5. write his/her own computer program to solve systems of simultaneous linear equations
6. write his/her own computer program to find root(s) of nonlinear equation(s)
7. understand and write his/her own computer program for linear regression analysis, least square regression
8. understand and write his/her own computer program for Newton, Lagrange interpolations
9. understand Fourier series and its applications
10. understand and write his/her own computer program for numerical integration
11. understand and write his/her own computer program for ODE

1. Introduction, Approximation & Errors (2 hours)
2. Truncation errors & Taylor series (3 hours)
3. Roots of Equations (3 hours)
4. Review (2 hours)
5. Systems of Linear Algebraic Equations (3 hours)
6. Matrix Inversion, LU Decomposition (3 hours)
7. Gauss Seidel, Choleski Methods (3 hours)
8. Review (2 hours)
9. Linear Regression, Least Square Regression (3 hours)
10. Newton, and Lagrange Interpolation Polynomials (3 hours)
11. Fourier Approximation (3 hours)
12. Introduction to Probability Theories (3 hours)
13. Review (2 hours)
14. Numerical Integration (3 hours)
15. Review (2 hours)
16. Ordinary Differential Equations (3 hours)
17. Review (2 hours)
18. Dr. Willie Watson's Research Seminar (from NASA LaRC) (1 hour)

Two 75-minute lecture sessions per week. Heavily involved None College-level mathematics and basic sciences: 3 credits Engineering topics: 0 credits General education: 0 credits This course will enhance the student's

1. ability to apply knowledge in mathematics, physics, in engineering science, and probability and statistics to civil and environmental engineering problems,
2. ability to critically analyze and interpret data,
3. ability to identify and formulate an engineering problem, and to develop a solution,
4. ability to understand the impact of engineering solutions in a societal and global context,
5. knowledge of current issues and awareness of emerging technologies,
6. ability to use modern engineering techniques, including computer based tools for civil engineering analysis and design.

Duc T. Nguyen <nguyen@cee.odu.edu> March 8, 2003