The course gives an introduction to discrete mathematical techniques and their applications.
More info:http://www.uninettunouniversity.net/en/mooc-program.aspx?lf=fr&courseid=3004&degree=164&planid=228&faculty=0
The course gives an introduction to discrete mathematical techniques and their applications.
More info:http://www.uninettunouniversity.net/en/mooc-program.aspx?lf=fr&courseid=3004&degree=164&planid=228&faculty=0
We invite you to a fascinating journey into Graph Theory — an area which connects the elegance of painting and the rigor of mathematics; is simple, but not unsophisticated. Graph Theory gives us, both an easy way to pictorially represent many major mathematical results, and insights into the deep theories behind them. In this course, among other intriguing applications, we will see how GPS systems find shortest routes, how engineers design integrated circuits, how biologists assemble genomes, why a political map can always be colored using a few colors. We will study Ramsey Theory which proves that in a large system, complete disorder is impossible!
Los cursos de Cálculo Diferencial y Cálculo Integral tradicionalmente se ofrecen separados y respetando ese orden. El primero estudia la derivada, y el segundo, la integral, siendo este momento en el que aparece el Teorema Fundamental del Cálculo (TFC) para establecer la relación entre ambos conceptos. En el presente curso vamos a hacer una diferencia: introduciremos la derivada y la integral como conceptos relacionados desde un principio.
The course offers undergraduate students a rather broad view on Automatic Control methodologies and techniques for feedback linear systems.
Vector spaces, matrices and linear applications.
Ce cours d'introduction aux probabilités a la même contenu que le cours de tronc commun de première année de l'École polytechnique donné par Sylvie Méléard. Le cours introduit graduellement la notion de variable aléatoire et culmine avec la loi des grands nombres et le théorème de la limite centrale. Les notions mathématiques nécessaires sont introduites au fil du cours et de nombreux exercices corrigés sont proposés.
Le cours expose la théorie de Galois, du classique critère de non-résolubilité des équations polynomiales aux méthodes plus avancées de calcul de groupes de Galois par réduction modulo un nombre premier. Le thème général de cette théorie est l'étude des racines d'un polynôme et concerne en particulier la possibilité de les exprimer à partir des coefficients de ce polynôme. Evariste Galois considère les symétries de ces racines et associe ainsi à ce polynôme un groupe de permutations de ses racines, que l'on appelle maintenant son groupe de Galois.
The course gives an introduction to discrete mathematical techniques and their applications.
Calculus is one of the grandest achievements of human thought, explaining everything from planetary orbits to the optimal size of a city to the periodicity of a heartbeat. This brisk course covers the core ideas of single-variable Calculus with emphases on conceptual understanding and applications. The course is ideal for students beginning in the engineering, physical, and social sciences. Distinguishing features of the course include: 1) the introduction and use of Taylor series and approximations from the beginning; 2) a novel synthesis of discrete and continuous forms of Calculus; 3) an emphasis on the conceptual over the computational; and 4) a clear, dynamic, unified approach.
This introductory courses on (Ordinary) Differential Equations are mainly for the people, who need differential equations mostly for the practical use in their own fields. So we try to provide basic terminologies, concepts, and methods of solving various types of differential equations as well as a rudimentary but indispensable knowledge of the underlying theory and some related applications.
En este curso podrás apoyar tu formación en temas de estadística y probabilidad I. Más allá de que encuentres aquí un apoyo para lograr una calificación, el curso busca ayudarte a que adquieras los aprendizajes que comprenden temas de estadística descriptiva, datos bivariados y probabilidad, los cuales te serán de utilidad en tu paso por la licenciatura y en tu vida profesional.
Galileo dijo: "El Universo está escrito en lenguaje matemático y los caracteres son triángulos, círculos y otras figuras geométricas, sin las que es humanamente imposible entender una sola palabra". Para entender el Universo, es necesario plantear leyes que expliquen su comportamiento, como pueden ser las leyes de la gravedad, la propagación del calor, el electromagnetismo, la reproducción celular, el crecimiento poblacional, la propagación de las enfermedades, la variación de los precios de las acciones en la bolsa de valores, el comportamiento de las masas ante un conflicto, etcétera.
This introductory courses on (Ordinary) Differential Equations are mainly for the people, who need differential equations mostly for the practical use in their own fields. So we try to provide basic terminologies, concepts, and methods of solving various types of differential equations as well as a rudimentary but indispensable knowledge of the underlying theory and some related applications.