Uncertainty and Research

所在平台: Coursera

课程主页: https://www.coursera.org/learn/uncertainty-and-research

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课程简介

课程名称:不确定性与研究 课程概述:本课程教授科学研究的基础知识。我们将研究过程视为系统性降低不确定性的一种手段,并展示如何将科学调查视为贝叶斯不确定性量化的练习。课程开始时,我们将探索科学研究的全景,了解不同类型的研究、进行研究的地点、支持研究的方式以及每种研究类型的重要性。随后,我们将正式定义科学探究和科学方法,并详细阐述研究过程及其科学意义。课程将引入概率论的基本概念,并以概念简单的方式介绍贝叶斯法则。我们将展示贝叶斯法则如何为研究过程提供数学框架,强调研究在日常生活和职业生涯中的作用,以及研究技能如何帮助我们进行批判性思考,无论你是否身处技术领域。课程中包含的练习将帮助您提升研究技能,进行更科学的思考。 针对新进入研究领域或希望提升其职业/专业或个人发展研究技能的学习者,欢迎报名。本课程以入门级别教授,课程结束时,您将能够构建研究假设并设计科学研究计划来测试该假设。成功完成此课程要求您具备大学初级数学知识。 课程大纲: 1. 研究全景导论:介绍科学研究的背景,研究的目的、执行者及不同种类研究的重要性。 2. 科学探究:讲解科学探究的基本原则,区分科学与非科学调查。 3. 科学方法与研究过程:介绍不同的探究方法,科学方法的术语和步骤,以及研究过程的科学性。 4. 不确定性与概率:学习不同类型的不确定性及其建模方法,基础概率论,条件概率和贝叶斯法则。 5. 研究作为不确定性量化练习:学习研究过程如何与不确定性量化相关,如何通过贝叶斯假设检验进行研究,发展假设并设计测试计划。 通过本课程,您将掌握科学研究的基本技能,为未来的研究奠定坚实基础。

课程大纲

Name:Introduction to the Research Landscape

Description:In this module, you will be introduced to the landscape of scientific research. Why do we perform research? Who conducts research and where do they conduct it? What different kinds of research are undertaken? Why are the various types of research important?

Name:Scientific Inquiry

Description:In this module, you will be introduced to the fundamentals of scientific inquiry. What makes an investigation scientific? How do we tell the difference between a scientific and a non-scientific inquiry?

Name:Scientific Method & the Research Process

Description:In this module, you will be introduced to the different methods of inquiry, most notably the scientific method. You will learn the terminology used in scientific inquiries and define hypotheses and theories. You will learn the steps of the research process and how the research process is scientific.

Name:Uncertainty & Probability

Description:In this module, you will learn about the different types of uncertainty and how these uncertainties are modeled. You will learn some fundamentals in probability theory, specifically conditional probabilities and Bayes’ Rule, necessary to understand how uncertainty is modeled.

Name:Research as an Exercise in Uncertainty Quantification (UQ)

Description:In this module, you will learn how the research process relates to uncertainty quantification. You will learn how to pose the research process through Bayesian hypothesis testing. You will learn how to develop a hypothesis and design a plan to test it using UQ methods.

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课程详情

This course teaches the fundamentals of scientific research. We approach the research process as a means of systematically reducing uncertainty and demonstrate how conducting a scientific investigation can be posed as an exercise in Bayesian uncertainty quantification. We begin by exploring the scientific landscape to understand the different types of research, where they are conducted, how they are supported, and why each of these types of research is important. We then formalize scientific inquiry and the scientific method and elaborate the research process and its scientific merits. Basic concepts in probability theory are introduced leading to a conceptually simple presentation of Bayes’ Rule. We then illustrate how Bayes’ Rule provides a mathematical framework for the research process. We place an emphasis on the role that research plays in our daily and professional lives and how research skills can help us think critically, whether you’re in a technical field or not. Exercises are designed to help you improve your research skills and think more scientifically. Learners who are new to research fields or would like to improve their research skills in any field for career/professional or personal growth are encouraged to enroll. The course is taught at an introductory level such that, by the end of the course, you will be able to formulate a research hypothesis and devise a scientific research plan to test that hypothesis. To be successful in this course, you will need entrance-level college mathematics.

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