Department of Civil Engineering Kfupm

Department of Civil Engineering Kfupm

<p> DEPARTMENT OF CIVIL & ENVIRONMENTAL ENGINEERING – KFUPM NUMERICAL & STATISTICAL METHODS IN CIVIL ENGINEERING CE 318 (2-3-3) Course Material:  Textbook: Numerical Methods for Engineers; 6th Edition; Chapara, S.C. & Canale, R.P. - 2010.  Extra Notes: supplied in class.</p><p>Instructor: Dr. Saeid A. Alghamdi; Office: 16-150; Phone: 2570; e-mail: [email protected] COURSE OUTLINE: 2013-20124(Academic Term 131)</p><p>Dates Week(s) Lectures; Subject Matter (Labs.) [Relevant textbook-sections] Sept. 02 – 11, 2013 1; 2 1-4 General Introduction & Programming Fundamentals: analytical vs. numerical methods; storage of numbers and characters; use of subscripts; Taylor series and analysis of computational errors; subroutines; flow- charts; computer methods (direct; iterative; logical); aspects of good programming; example-problems: [PT1.1- PT1.3.2; 1.1; 2.3; 2.4-2.6; 3.1-3.4; 4.1].</p><p>(1; 2) Basics of Programming Tools (e.g.: FORTRAN; MATLAB; Mathematica) ; Computing Applications: Machine Epsilon, Errors and Precision. Sept. 16 – 25 3; 4 5-7 Interpolation and Extrapolation: introduction; array [National Day: Sept. 23, 2013] manipulation (matrix coefficients and operations); interpolation and method of spline functions; the curve fitting using least squares; numerical integration; Newton-Cotes Formulas; Gauss quadrature; Richardson Extrapolation; example-problems: [18.1; 18.3-18.6; 17.1; 17.2; 19.8.1-19.8.3; 20.1; 20.2; 21.1-21.2.2; 22.1-22.4; 23.5; 24.2; 24.4].</p><p>(3; 4) Subtractive Errors; DO-Loops; Cubic Spline Interpolation; Curve Fitting. Sept. 30 – Oct. 09 5; 6 8-11 Series Approximations and Roots of Equations: series solutions; study of convergence; iterative substitutions; roots of equations; interpolation methods (bisection); extrapolation methods (Newton-Raphson method); solution of nonlinear equations; acceleration of convergence; example-problems:[4.1.2; 4.1.3; PT2.1; 5.1; 5.2; 5.4; 6.1- 6.2.3; 6.5; 7.7.1-7.7.3; 8.2].</p><p>(5; 6) Numerical Integration; Roots of Equations. Oct. 10-20, 2013 - - Id Al-Adhad Vacation Oct. 21 – 23 7 12; 13 Solution of Algebraic Equations: Gaussian elimination; LU-factorization; Cholesky’s method; banded equations; iterative methods; example-problems: [PT3.1; PT3.2.1- PT3.2.3; 9.1-9.4].</p><p>(7) Matrix Algebra; Solution of a System of Linear Equations. Tues, Oct. 22, 2013 - - First Major Examination Oct. 28 – 30 8 14; 15 Solution of Algebraic Equations (cont'd): Iterative methods (Gauss-Seidel method); pivoting; ill- conditioning; example-problems: [10.1-10.3.2; 11.1-11.2; 11.3.1-11.3.3; 12.2].</p><p>(8) Matrix Algebra; Solution of a System of Linear Equations (cont'd). COURSE OUTLINE_111: 2011-2012 "cont'd" 1/2 COURSE OUTLINE: 2010-2011 "cont'd" Nov. 04 – 13, 2013 9, 10 16-19 Methods of Finite Differences: introduction; first and second order equations; finite difference discretizations in 1D; boundary conditions; solution of time- independent problems; stability analysis of finite differences; example case studies (e.g.: Laplace’s equation; Diffusion equation in 1D); example-problems: [4.1.3; 11.3.1- 11.3.3; 27.1; 27.2.3-27.2.4; 27.3-1-27.3.4; 29.1; 29.2; 30.1- 30.3; 31.4; 31.4.2].</p><p>(9) Solution a Diffusion Equation. Nov. 18 – 27 11, 12 20-23 Statistical and Probability Analysis: basic concepts of probabilities; mathematical background; simple measures of statistical analysis; data distribution; normal distribution; confidence interval: [PT5.2.1- PT.5.2.3; Reference notes "handout']. </p><p>Tues. Nov. 26, 2013 - - Second Major Examination (10) Statistical analysis (mean; variance); data analysis and normal distribution. Dec. 02 – 04, 2013 13 24; 25 Methods of Optimal Design: introduction to linear programming; the Simplex Method; applications to civil engineering design problems; example- problems: [PT4.1-PT4.1.2; 15.1-15.3.3; 16.2].</p><p>(11) Linear Programming Using Excel. Dec. 09 – 18, 2013 14, 15 26-29 Design Applications: computer applications to typical problems selected from one of the four specialties of civil engineering (depending on a student’s interest).</p><p>(12) Engineering Analysis; Design Optimization. Dec. 23, 2013 15 (cont'd) 30 Over-all Review & Presentations of Projects. (13)</p><p>Grading Policy for the Course$:</p><p>1. Attendance^ 04% 2. Homework & Lab. Assignments 15% 3. Four Quizzes (two quizzes before each major exam.) 06% 4. Exam 1 [Tuesday, Oct. 22, 2013]* 15% 5. Exam 2 [Tuesday, Nov. 26, 2013] 20% 6. Lab. Project [TO BE ASSIGNED]@ 10% 7. Final Exam [TO BE SCHEDULED] 30% TOTAL …………..……………………………… ……………… 100%</p><p>$ Notes: ^ Due to critical importance of timely class-attendance, the regulations set by KFUPM are enforced and it will affect other grade segments [for: class lectures & Comp. Lab. sessions]. * Major exams are conducted within the computer-laboratory session. @ Each student must arrange for a meeting to select the project for the course.</p><p>CE 318 NUMERICAL & STATISTICAL METHODS IN CIVIL ENGINEERING COURSE-OUTLINE -131 (S. A. ALGHAMDI) 2/2 </p>

View Full Text

Details

  • File Type
    pdf
  • Upload Time
    -
  • Content Languages
    English
  • Upload User
    Anonymous/Not logged-in
  • File Pages
    2 Page
  • File Size
    -

Download

Channel Download Status
Express Download Enable

Copyright

We respect the copyrights and intellectual property rights of all users. All uploaded documents are either original works of the uploader or authorized works of the rightful owners.

  • Not to be reproduced or distributed without explicit permission.
  • Not used for commercial purposes outside of approved use cases.
  • Not used to infringe on the rights of the original creators.
  • If you believe any content infringes your copyright, please contact us immediately.

Support

For help with questions, suggestions, or problems, please contact us