Une fonction discontinue peut-elle être solution d'une équation différentielle? Comment définir rigoureusement la masse de Dirac (une "fonction" d'intégrale un, nulle partout sauf en un point) et ses dérivées? Peut-on définir une notion de "dérivée d'ordre fractionnaire"? Cette initiation aux distributions répond à ces questions - et à bien d'autres.
Curso diseñado para facilitar la entrada del estudiante en los cursos de cálculo de primer semestre de prácticamente cualquier grado universitario, con especial énfasis en Ciencias e Ingeniería.
In questo corso imparerete i Principi che stanno alla base della Fisica del XX secolo, cioè della Relatività e la Meccanica Quantistica, e come sia cambiata la nostra visione del mondo.
El curso propone un acercamiento a la Matemática Preuniversitaria donde el contexto del movimiento en línea recta dará significado al conocimiento y la tecnología será el medio para interactuar con el mismo.
Ders çok değişkenli fonksiyonlardaki ikili dizinin birincisidir. Burada çok değişkenli fonksiyonlardaki temel türev ve entegral kavramlarını geliştirmek ve bu konulardaki problemleri çözmekteki temel yöntemleri sunmaktadır. Ders gerçek yaşamdan gelen uygulamaları da tanıtmaya önem veren “içerikli yaklaşımla” tasarlanmıştır.
Calculus Two: Sequences and Series is an introduction to sequences, infinite series, convergence tests, and Taylor series. The course emphasizes not just getting answers, but asking the question "why is this true?"
本课程以通俗的语言介绍粒子物理的主要内容和最前沿的研究。课程涉及的主要内容包括: 物质和反物质, 夸克和强相互作用,中微子和弱相互作用,对称性和它的作用, 粒子物理的标准模型,粒子天文学, 暗物质。
This course gives an brief introduction of the main content and the frontier of particle physics in popular language. It includes: matter and antimatter, quark and strong interaction, neutrino and weak interaction, symmetry and its applications, standard model of particle physics, particle astronomy, dark matter etc.
This advanced course considers how to design interactions between agents in order to achieve good social outcomes. Three main topics are covered: social choice theory (i.e., collective decision making), mechanism design, and auctions.
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.
This is an introduction to formal logic and how it is applied in computer science, electronic engineering, linguistics and philosophy. You will learn propositional logic—its language, interpretations and proofs, and apply it to solve problems in a wide range of disciplines.
This is an introduction to predicate logic and how it is applied in computer science, electronic engineering, linguistics, mathematics and philosophy. Building on your knowledge of propositional logic, you will learn predicate logic—its language, interpretations and proofs, and apply it to solve problems in a wide range of disciplines.
Mathematical Methods for Quantitative Finance covers topics from calculus and linear algebra that are fundamental for the study of mathematical finance. Students successfully completing this course will be mathematically well prepared to study quantitative finance at the graduate level.
M2O2C2 provides a first taste of multivariable differential calculus.
By introducing the machinery of linear algebra, this course provides helpful tools for understanding the derivative of a function of many variables.
This six week course will help students prepare for the AP* Calculus AB Exam.
* AP Calculus is a registered trademark of the College Board, which was not involved in the production of, and does not endorse, this product.
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