Applied Computing
2
2019-2020
01009436
Complementary Competences
Portuguese
Face-to-face
SEMESTRIAL
6.0
Compulsory
1st Cycle Studies
Recommended Prerequisites
Linear Algebra and Analytic Geometry, Calculus I and II.
Teaching Methods
Theoretical and practical sessions. The theoretical lectures are expository. The practical are intended for problem solving, both in the classroom and in the computational laboratory.
Learning Outcomes
Numerical methods and computing science are fundamental in chemical engineering. The curricular unit called Applied Computing aims to give students a solid training in numerical methods applied to chemical engineering in close connection with the computing science, reinforced by its application other disciplines of the MIEQ.
Work Placement(s)
NoSyllabus
Introduction to numerical calculus
Numerical analysis and computing science. Numerical algorithms. Types and sources of error. Conditioning and stability. Floating point arithmetic
Introduction to MATLAB®
The basics. Arrays e matrizes. Scripts and functions. Loops and conditionals. Graphics.
Non-linear equations
Closed methods: bisection, false position. Open methods: fixed-point, Newton, secant.
Systems of linear equations
Direct methods: Gauss elimination, LU factorization. Pivoting methods. Iterative methods: Jacobi, Gauss-Seidel. Conditioning, stability, and convergence.
Approximation techniques
Lagrange and Newton polynomials. Error analysis. Splines interpolation. Least squares data fitting
Numerical differentiation and integration
Finite differences and interpolation polynomials. Richardson extrapolation. Error analysis. Numerical integration: Newton-Cotes formulas, trapezoidal and Simpson rules. Romberg integration. Error analysis. Gauss quadrature.
Head Lecturer(s)
Pedro Nuno das Neves Lopes Simões
Assessment Methods
Assessment
Project: 25.0%
Mini Tests: 25.0%
Exam: 50.0%
Bibliography
• Oliveira, N.M.C. Prática de Computação. Imprensa da Universidade, Coimbra, 2006.
• Chapra, S.; Canale, R.P. Numerical methods for engineers: with programming and software applications. 4th ed., McGraw-Hill, Boston, 2002.
• Chapra, S., Applied Numerical Methods with MATLAB for Engineers and Scientists, McGraw-Hill, Boston, 2005.
• Palm, W.J. Introduction to MATLAB 7 for Engineers. McGraw-Hill, New York, 2005.
• Gerald, C.F., Wheatley, P.O. Applied Numerical Analysis, 5th ed., Addison-Wesley Publishing Company, N.Y., 1994.
• Atkinson, K. Elementary Numerical Analysis, 2nd ed., John Wiley & Sons, N.Y., 1993.
• WEBSITE DO MATLAB http://www.mathworks.com.
• Yang, W.Y.; Cao, W.; Chung, T.S.; Morris, J. Applied Numerical Methods Using MATLAB. John Wiley, New Jersey, 2005.