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Main
UQU Programs
Civil Engineering

Engineering Numerical Methods

CE3001
3 hours English

Engineering Numerical Methods

Engineering Numerical Methods
MTH1182 Calculus for Engineering (2)
3 hours No requisites
1 Programming and Software / Packages and Programming / Excel / MATLAB / Mathcad
2 Roots of Equations (Bracketing Methods) / Graphical Methods / The Bisection Method / The False-Position Method
3 Roots of Equations (Open Methods) / Simple Fixed-Point Iteration / The Newton-Raphson Method / The Secant Method / Multiple Roots / Systems of Nonlinear Equations
4 Interpolation / Newtons Divided-Difference Interpolating Polynomials / Lagrange Interpolating Polynomials / Coefficients of an Interpolating Polynomial
5 Inverse Interpolation / Spline Interpolation / Multidimensional Interpolation
6 Curve Fitting and Least-Squares Regression / Linear Regression / Polynomial Regression / Multiple Linear Regression
7 Nonlinear Regression / Linear Regression and Population Models (Chemical/Bio Engineering) / Use Multiple Linear Regression to Estimate Heat Transfer (Civil/Environmental Engineering)
8 Revision / Mid Term Exam
9 Numerical Integration and Differentiation / The Trapezoidal Rule / Simpsons Rules
10 First Order Ordinary Differential Equations / Eulers Method / Improvements of Eulers Method / Runge-Kutta Methods
11 Second Order Ordinary Differential Equations / Eulers Method / Improvements of Eulers Method / Runge-Kutta Methods / Systems of Equations / Engineering applications: / Using ODEs to Analyze the Transient Response of a Reactor (Chemical/Bio Engineering) / Predator-Prey Models and Chaos (Civil/Environmental Engineering)
12 Special Matrices and Gauss-Seidel / Special Matrices / Gauss-Jacobi method / Gauss-Seidel method / Linear Algebraic Equations with Software Packages / Boundary-Value and Eigenvalue Problems
13 Constrained Optimization / Linear Programming / Nonlinear Constrained Optimization / Optimization with Software Packages / Engineering applications: / Least-Cost Design of a Tank (Chemical/Bio Engineering) / Least-Cost Treatment of Wastewater (Civil/Environmental Engineering)
1.1 Mapped to: K1

Outline the important basic definitions and the tools of engineering numerical methods and its concepts and learn how to apply them in actual engineering problems.

Teaching Strategy Traditional classroom
Assessment Methods Traditional classroom
1.2 Mapped to: K1

Gain a high level of Knowledge in how to formulate engineering applactions based on numerical basics and how to solve them.

Teaching Strategy Traditional classroom
Assessment Methods Traditional classroom
2.1 Mapped to: S1

Students will be able to apply their Skills of engineering numerical methods and the techniques used to solve engineering applications based on mathematical formulation

Teaching Strategy Traditional classroom
Assessment Methods Traditional classroom
2.2 Mapped to: S3

Creativity to solve new mathematical models by numerical methods

Teaching Strategy Traditional classroom
Assessment Methods Traditional classroom
3.1 Mapped to: V1

Students will be able to use and apply their numerical methods knowledge, skills and personal, social, and/or methodological abilities, in work or study situation

Teaching Strategy Traditional classroom
Assessment Methods Traditional classroom
3.2 Mapped to: V1

Students will be able to use new techniques to solve different difficult mathematical problems in their life and work

Teaching Strategy Traditional classroom
Assessment Methods Traditional classroom
Assessment
Weight
Homework
10%
Quizzes
10%
Midterm Exam
30%
Final Exam
50%
Total
100%