Teaching GuideTerm Higher Technical University College of Nautical Science and Naval Engines |
Grao en Tecnoloxías Mariñas |
Subjects |
Matemáticas III |
Contents |
Identifying Data | 2016/17 | |||||||||||||
Subject | Matemáticas III | Code | 631G02260 | |||||||||||
Study programme |
|
|||||||||||||
Descriptors | Cycle | Period | Year | Type | Credits | |||||||||
Graduate | 2nd four-month period |
Second | FB | 6 | ||||||||||
|
Topic | Sub-topic |
Lesson 1.- Introduction to MATLAB and Octave |
1.1.- Types of data. Basic operations. 1.2.- Vectors and matrices 1.3.- Functions 1.4.- Logical operators |
Lesson 2.- Number, Algorithm and Errors |
2.1.- Introduction 2.2.- Numbers: Representation and Storage 2.3.- Algorithms 2.4.- Errors: Classification and Propagation |
Lesson 3.- Numerical Solution of Systems of Linear Equations |
3.1.- General considerations 3.2.- Direct methods 3.2.1.- Systems with Immediate Solution 3.2.1.1.- Diagonal matrix 3.2.1.2.- Upper Triangular matrix 3.2.1.2.- Inferior Triangular matrix 3.2.2.- Methods of Elimination or Transformation 3.2.2.1.- Method of Gauss 3.2.2.1.- Method of Gauss-Jordan 3.2.3.- Methods of Decomposition: Factorisation LU 3.2.3.1.- Method of Doolittle 3.2.3.2.- Method of Crout 3.2.3.3.- Method of Cholesky 3.3.- Iterative methods 3.3.1.- Method of Jacobi 3.3.2.- Method of Gauss-Seidel |
Lesson 4.- Numerical Interpolation |
4.1.- Introduction 4.2.- Lagrange Interpolating Polynomial 4.3.- Hermite Interpolating Polynomial 4.4.- Divided Differences. Newton Formula |
Lesson 5.-Numerical solution of nonlinear equations |
5.1.- Introduction 5.2.- Method of the Bisection 5.3.- Method of Newton-Raphson 5.4.- Method of the Secante. It regulates Falsi. 5.5.- Method of the Fixed Point |
Lesson 6.- Numerical Differentiation and Numerical Integration |
6.1.- Finite differences. Derivación Numerical. 6.2.- Numerical integration. General concepts. 6.3.- Rectangular approximations 6.4.- Method of the Trapezes 6.5.- Rule of Simpson 6.6.- Formulas of Quadrature |
Lesson 7.- Numerical Solution of Ordinary Differential Equations | 7.1.- Introduction: General Definitions 7.2.- Methods of Taylor 7.3.- Method of Euler 7.4.- Method of Heun 7.5.- Methods of Runge-Kutta |
Lesson 8.- Statistics Methods |
8.1 Descriptive Statistics 8.1.1 Generalities 8.1.2 Treatment of the information and graphic representations 8.1.3 Measures of centralisation. Measures of dispersion 8.1.4 Binomial and Normal Distributions 8.2 Curve Adjustment 8.2.1 Linear Regression. 8.2.2 Least Squares Method 8.2.3 Measures of Accuracy 8.2.4 Nonlinear Measures of Accuracy |
|