Description

Theory
2

Theory/Practice
3

Instructors

João Emilio Matos

Contents

1. Linear Programming
1.1. Problem Formulation
1.2. The Simplex Method
1.3. post-optimal analysis
1.4. Binary and Integer programming
2. Numerical Methods
2.1. Numerical Methods for Algebraic Equations
2.2. Nonlinear Systems of Equations
2.3. Nonlinear Optimization
2.4. Least-Squares Regression

Learning Outcomes

Students gain proficiency on core themes of Applied Mathematics to Civil Engineering and consolidate skills on the use and on the development of numerical tools to solve these problems. Modeling, formulation and solving problems in Matlab/Octave are the core of this unit.
At the end of the semester students will have skills to:
1 - Solve the most classical problems of Linear Programing and of Numerical Analysis;
2 - Building mathematical models, such as algebraic, differential, statistical or linear programming models, related to Civil Engineering;
3 - Identify the numerical methods required to solve the problems formulated;
4 - Design routines to implement these methods;
5 - Interpret, analyze and describe numerical solutions.