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.
Prerequisite
Math 307U (Ordinary Differential Equations)
CS 150 (Introduction to Programming)
and Junior Standing
Textbook(s) and/or Other Required Material
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.)
Course Objectives
Students completing this course successfully will be able to
understand useful computing techniques for solving GENERAL, and
PRACTICAL (multidisciplinary) engineering problems.
integrate computer applications into practical engineering solutions.
solve basic problems which involve with probabilistic and statistical theories
understand and compute numerical errors corresponding to different
numerical algorithms
write his/her own computer program to solve systems of simultaneous
linear equations
write his/her own computer program to find root(s) of nonlinear equation(s)
understand and write his/her own computer program for linear
regression analysis, least square regression
understand and write his/her own computer program for Newton,
Lagrange interpolations
understand Fourier series and its applications
understand and write his/her own computer program for numerical integration
understand and write his/her own computer program for ODE
Topics Covered
Introduction, Approximation & Errors (2 hours)
Truncation errors & Taylor series (3 hours)
Roots of Equations (3 hours)
Review (2 hours)
Systems of Linear Algebraic Equations (3 hours)
Matrix Inversion, LU Decomposition (3 hours)
Gauss Seidel, Choleski Methods (3 hours)
Review (2 hours)
Linear Regression, Least Square Regression (3 hours)
Newton, and Lagrange Interpolation Polynomials (3 hours)
Fourier Approximation (3 hours)
Introduction to Probability Theories (3 hours)
Review (2 hours)
Numerical Integration (3 hours)
Review (2 hours)
Ordinary Differential Equations (3 hours)
Review (2 hours)
Dr. Willie Watson's Research Seminar (from NASA LaRC) (1 hour)
Class/Laboratory Schedule
Two 75-minute lecture sessions per week.
Computer Applications
Heavily involved
Laboratory projects
None
Contribution of Course to Meeting the Professional Component
College-level mathematics and basic sciences: 3 credits
Engineering topics: 0 credits
General education: 0 credits
Relationship of Course to Program Outcomes
This course will enhance the student's
ability to apply knowledge in mathematics, physics, in engineering
science, and probability and statistics to civil and environmental
engineering problems,
ability to critically analyze and interpret data,
ability to identify and formulate an engineering problem, and to
develop a solution,
ability to understand the impact of engineering solutions in a
societal and global context,
knowledge of current issues and awareness of emerging technologies,
ability to use modern engineering techniques, including computer
based tools for civil engineering analysis and design.
