Métodos Numéricos I
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Seventh booklet: the exercises on approximating roots of a function, with the information given about the interval that contains the root. 2 pages in English.
Sixth booklet: solving systems of linear equations, the Cholesky factorization of a matrix and the algorithms that have to be written in MATLAB, with the exercises. 4 pages in English.
Fifth booklet: functions of one and more variables, anonymous functions, finding roots with fzero, minima with fminbnd and fminsearch, integral2 and integral3, and an application to linear systems. 12 pages in English.
Fourth booklet: more series and sequences, intrinsic functions, conversion from integer to double precision and the exercises on significant digits and relative error with the given tolerance. 4 pages in English.
Third booklet: relations and logical operations, and then the four classic problems, Collatz iteration, the Mandelbrot set, the Lorenz equations solved with ode45 and the figurate and Fibonacci number series. 8 pages in English.
Second booklet: bidimensional plots, several curves on the same axes, subplot, fplot, labels and legends, three dimensional graphics and a first look at ode45 for ordinary differential equations, with the exercises. 14 pages in English.
First booklet of the computer sessions: the MATLAB environment, variables, vectors and matrices, indexing with ranges, the whos command and the information it gives, with the tutorial worked step by step and the exercises at the end. 12 pages in English.
Statement of the computer exam of 17 December 2018: the conditions of the exam and the exercises to program in MATLAB, with the marks of each one. In English.
Full statement of the MATLAB computer exam of 16 December 2019: the exam conditions, what may and may not be used, and the exercises with their marks. 4 pages in English.
Function that approximates a root of a function by the secant method from two starting points, with the tolerance and the maximum number of iterations, and the statement of the exercise as a comment.
The December 2019 computer exam solved exercise by exercise in a single commented script, with the statement copied above each solution so it can be followed without the exam paper. 2 pages.
Function that approximates a root of a polynomial by the Newton-Raphson method, receiving the coefficient vector, the starting point, the tolerance and the maximum number of iterations, and returning the root and the iterations used.
Function that approximates the derivative of the sine at a point for twenty decreasing values of the step, returning the vector of steps and the vector of errors so the cancellation effect can be plotted.
Second version of the factorial, this time using the built-in prod function on the range from one to x, with the same input checking. Useful to compare both approaches.
Function that computes the factorial with a while loop, checking first that the input is a single positive integer. Written the long way so every step can be followed.
Function that evaluates a polynomial of degree n at a point using the Horner scheme, with the header documenting the meaning of every argument and the accumulator explained.
He publicado nuevos ejercicios de 2º Métodos Numéricos I: DOLITTLE-FACTORIZATION.pdf
He publicado nuevos ejercicios de 2º Métodos Numéricos I: LDL-FACTORIZATION.pdf
He publicado nuevos ejercicios de 2º Métodos Numéricos I: CHOLESKY FACTORIZATION.pdf
He publicado nuevos ejercicios de 2º Métodos Numéricos I: IEEE-754-EXERCISE.pdf
He publicado nuevos apuntes de 2º Métodos Numéricos I: QR-DEPOCMPOSITION.pdf
He publicado nuevos apuntes de 2º Métodos Numéricos I: MATRIX DECOMPOSITIONS.pdf
He publicado nuevos apuntes de 2º Métodos Numéricos I: LU DECOMPOSITION.pdf
He publicado nuevos apuntes de 2º Métodos Numéricos I: SINGULAR VALUE DECOMPOSITION.pdf
He publicado nuevos practicas de 2º Métodos Numéricos I: CONDITION NUMBERS.pdf
He publicado nuevos practicas de 2º Métodos Numéricos I: ITERATIVE METHODS (JOR and SOR).pdf
He publicado nuevos apuntes de 2º Métodos Numéricos I: examenes-resueltos-metodos.pdf
He publicado nuevos ejercicios de 2º Métodos Numéricos I: seminarios-metodos.pdf
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