Come learn how you can use mathematics to get a deeper insight into both the sports you love and everyday life.
In this course you will learn to use some mathematical tools that can help predict and analyze sporting performances and outcomes. This course will help coaches, players, and enthusiasts to make educated decisions about strategy, training, and execution. We will discuss topics such as the myth of the Hot Hand and the curse of the Sports Illustrated cover; how understanding data can improve athletic performance; and how best to pick your Fantasy Football team. We will also see how elementary Calculus provides insight into the biomechanics of sports and how game theory can help improve an athlete’s strategy on the field.
In this course you will learn:
- How a basic understanding of probability and statistics can be used to analyze sports and other real life situations.
- How to model physical systems, such as a golf swing or a high jump, using basic equations of motion.
- How to best pick your Fantasy Football, March Madness, and World Cup winners by using ranking theory to help you determine athletic and team performance.
By the end of the course, you will have a better understanding of math, how math is used in the sports we love, and in our everyday lives.
Students may choose to work at their own pace across all three subject areas, or to select individual content areas. Pretests will determine any learning deficits, which can then be mastered through self-paced learning modules. Not forgetting the importance of the human touch, this course is overseen by a trio of reading, writing, and mathematics professors who will be available to assist and encourage students along their journey to college readiness.
Il corso copre la matematica di base, permettendo di colmare eventuali lacune e di mettere a punto la preparazione necessaria all'ingresso all'università.
The course covers the fundamentals of Math, thus allowing to fill high school gaps and to optimize students’ knowledge as they start college.
This course teaches a calculus that enables precise quantitative predictions of large combinatorial structures. In addition, this course covers generating functions and real asymptotics and then introduces the symbolic method in the context of applications in the analysis of algorithms and basic structures such as permutations, trees, strings, words, and mappings.
Problem-solving is a powerful approach for teaching students to develop mathematical concepts and skills. This methodology is not about teaching a specific problem-solving skill to students; it’s about students using problem-solving and collaboration skills to develop their mathematical skills and solidify their identities as capable problem-solvers.
Financial Engineering is a multidisciplinary field involving finance and economics, mathematics, statistics, engineering and computational methods. The emphasis of FE & RM Part II will be on the use of simple stochastic models to (i) solve portfolio optimization problems (ii) price derivative securities in various asset classes including equities and credit and (iii) consider some advanced applications of financial engineering including algorithmic trading and the pricing of real options. We will also consider the role that financial engineering played during the financial crisis.
Ce cours contient les 7 premiers chapitres d'un cours donné aux étudiants bachelor de l'EPFL. Il est basé sur le livre "Introduction à l'analyse numérique", J. Rappaz M. Picasso, Ed. PPUR. Des outils de base sont décrits dans les 5 premiers chapitres. Les deux derniers chapitres abordent la question de la résolution numérique d'équations différentielles.
Numerical methods have been used to solve mathematical expressions of engineering and scientific problems for at least 4000 years. Such methods apply numerical approximation in order to convert continuous mathematical problems (for example, determining the mechanical stress throughout a loaded truss) into systems of discrete equations that can be solved with sufficient accuracy by machine. This course will provide you with an introduction to several of those numerical methods which you may then find opportunity to practice later in the curriculum.