Overview This free course is an introduction to Bayesian statistics. Section 1 discusses several ways of estimating probabilities. Section 2 reviews ideas of conditional probabilities and introduces Bayes’ theorem and its use in updating beliefs about a proposition, when data are observed, or information becomes available. Section 3 introduces the main ideas of the Bayesian …
Overview This free course contains an introduction to rings and polynomials. We see that polynomial rings have many properties in common with the integers; for example, we can define a division algorithm, and this enables us to develop the analogue of the highest common factor for two polynomials. Section 1 explores the abstract definitions of …
Overview Have you ever noticed how often you need maths skills in everyday life? This free course serves as good preparation for Level 1 Functional Skills in maths, and whilst it doesnot cover all aspects of the current curriculum, it is designed to inspire you to improve your current maths skills and help you to remember any …
Overview This free course is concerned with some of the statistical methods used in epidemiology and more widely in medical statistics. Section 1 introduces cohort studies in which individuals are classified according to their exposure and followed forward in time to evaluate disease outcomes. Section 2 looks at models for cohort studies. Section 3 introduces …
Overview Patterns occur everywhere in art, nature, science and especially mathematics. Being able to recognise, describe and use these patterns is an important skill that helps you to tackle a wide variety of different problems. This free course, Starting with maths: Patterns and formulas, explores some of these patterns, from ancient number patterns to the …
Overview This free course concerns the calculus of variations. Section 1 introduces some key ingredients by solving a seemingly simple problem – finding the shortest distance between two points in a plane. The section also introduces the notions of a functional and of a stationary path. Section 2 describes basic problems that can be formulated …
Overview This free course examines the formulation and solution of small linear programming problems. Section 1 deals with the formulation of linear programming models, describing how mathematical models of suitable real-world problems can be constructed. Section 2 looks at graphical representations of two-dimensional models, considers some theoretical implications and examines the graphical solution of such …
Overview Description Ce MOOC de Mathématiques a été conçu pour vous accompagner dans la transition entre le lycée et l’enseignement supérieur. Composée de 5 modules, cette préparation en mathématiques permet de consolider vos acquis et de vous préparer à l’entrée dans l’enseignement supérieur. Ce MOOC est également une occasion d’évaluer vos connaissances en fin de …
Collection Mathématiques : 1- Dérivation et Étude de fonctions Read More »
Overview This free course, Working on your own mathematics, focuses on your initial encounters with research. It invites you to think about how perceptions of mathematics have influenced you in your prior learning, your teaching and the attitudes of learners. Syllabus
Overview Description Les méthodes statistiques sont largement répandues dans presque tous les secteurs de l’activité humaine : sciences et techniques, économie, sciences humaines et sociales. Elles font partie des connaissances de base de l’ingénieur. Parmi les innombrables applications dans le domaine industriel, on peut citer le contrôle de qualité, la fiabilité, l’analyse des résultats de mesure, la prévision …
