Search result: Catalogue data in Spring Semester 2021

Mathematics Bachelor Information
Minor Courses
NumberTitleTypeECTSHoursLecturers
401-1032-21LProofs and Basic Structures Information W4 credits2V + 1UW. Merry
Abstract
Objective
ContentAxiomatische Mengenlehre und mathematische Logik bilden die Fundamente, auf denen unser Fach aufgebaut ist.

Der Kurs beginnt mit einer Einführung in die Zermelo-Fraenkel-Mengenlehre. Nebenbei werden wir beweisen, dass Zahlen (!) existieren - zuerst die natürlichen Zahlen, dann die reellen Zahlen und schliesslich andere "grosse" Kardinalzahlen. Wir diskutieren die Implikationen des Auswahlaxioms und der berühmten Kontinuumshypothese.

Sobald die grundlegenden Strukturen fest etabliert sind, gehen wir zur "Kunst des Beweises" über. Das Ziel ist es, Ihnen zu helfen, Beweise zu verstehen und zu konstruieren, und zu lernen, klare und prägnante Mathematik zu schreiben.

Ein wahres Ensemble von Themen aus der Kombinatorik, Algebra und Zahlentheorie (wenn es die Zeit erlaubt) wird vorgestellt - diese Themen sind so gewählt, dass sie gute Beispiele zur Veranschaulichung einer Reihe grundlegender Beweismethoden liefern und fundamentale Ideen vorstellen, die Teil des Standard-Toolkits eines jeden Mathematikers sind. Als besonderes Highlight werden wir eine Auswahl der grössten klassischen Beweise aller Zeiten sehen.
Lecture notesVollständige Vorlesungsnotizen werden zur Verfügung gestellt.
Prerequisites / NoticeEs gibt keine mathematischen Voraussetzungen.
351-1138-00LPRISMA Capstone - Rethinking Sustainable Cities and Communities
Bachelor students get preferential access to this course. All interested students must apply through a separate application process at: https://mtecethz.qualtrics.com/jfe/form/SV_cx4ZghhYhQAY3nT

Participation is subject to successful selection through this sign-up process.
W4 credits4VA. Cabello Llamas, M. Augsburger
AbstractThe goal of this intense one-week course is to bring students from different backgrounds together to make connections between disciplines and to build bridges to society. Supported by student coaches and experts, our student teams will use hands-on Design Thinking methods to address relevant challenges based on the UN sustainable development goals.
ObjectiveIn this intense 7-day block course students will be able to acquire and practice essential cross-disciplinary competencies as well as gaining an understanding of a human-centered innovation process. More specifically students will learn to:
- Work and think in a problem-based way.
- Put their own field into a broader context.
- Engage in collaborative ideation with a multidisciplinary team.
- Identify challenges related to relevant societal issues.
- Develop, prototype and plan innovative solutions for a range of different contexts.
- Innovate in a human-centered way by observing and interacting with key stakeholders.

The acquired methods and skills are based on the ETH competence framework and can be applied to tackle a broad range of problems in academia and society. Moving beyond traditional teaching approaches, this course allows students to engage creatively in a process of rethinking and redesigning aspects and elements of current and future urban areas, actively contributing towards fulfilling the UN SDG 11.
ContentThe course is divided in to three stages:

Warm-up and framing: The goal of this first stage is to get familiar with current problems faced by cities and communities as well as with the Design Thinking process and mindset. The students will learn about the working process, the teaching spaces and resources, as well as their fellow students and the lecturers.

Identifying challenges: The objective is to get to know additional methods and tools to identify a specific challenge relevant for urban areas through fieldwork and direct engagement with relevant stakeholders, resulting in the definition of an actionable problem statement that will form the starting point for the development of innovative solutions.

Solving challenges within current and future context: During this phase, students will apply the learned methods and tools to solve the identified challenge in a multi-disciplinary group by creating, developing and testing high-potential ideas. The ideas are presented to relevant academic, industry and societal stakeholders on the last day of the week.

To facilitate the fast-paced innovation journey, the multidisciplinary teams are supported throughout the week by experienced student coaches.

This course is a capstone for the student-lead initiative PRISMA. (https://www.prisma.ethz.ch/).
Prerequisites / NoticeBachelor students get preferential access to this course. All interested students must apply through a separate application process at: https://mtecethz.qualtrics.com/jfe/form/SV_cx4ZghhYhQAY3nT

Participation is subject to successful selection through this sign-up process.
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