Overview The goal of this tutorial is to outline some elementary, but beautiful aspects of random walks. Random walks are ubiquitous in nature. They naturally arise in describing the motion of microscopic particles, such as bacteria or pollen grains, whose motion is governed by being buffeted by collisions with the molecules in a surrounding fluid. …
Overview Geometry is concerned with the various aspects of size, shape and space. In this free course you will explore the concepts of angles, shapes, symmetry, area and volume through interactive activities. Syllabus
Overview This free course is an introduction to Number Theory. Section 1 provides a brief introduction to the kinds of problem that arise in Number Theory. Section 2 reviews and provides a more formal approach to a powerful method of proof, mathematical induction. Section 3 introduces and makes precise the key notion of divisibility. The …
Overview NOTE: This course has been divided into two courses: Descriptive and Inferential Statistics. If you are new to statistics, we recommend taking these courses instead. We live in a time of unprecedented access to information…data. Whether researching the best school, job, or relationship, the Internet has thrown open the doors to vast pools of …
Overview This course assumes that you are comfortable with Microsoft Excel, but you do not need training in statistics. If you wish to receive a verified certificate, you must download the free SIPmath™ Modeler Tools for Excel from nonprofit ProbabilityManagement.org, and it is recommended that you procure The Flaw of Averages: Why we Underestimate Risk in …
Overview This tutorial contains excerpts from David Feldman’s Dynamical Systems course. Note that Complexity Explorer tutorials are meant to introduce students to various important techniques and to provide illustrations of their application in complex systems. A given tutorial is not meant to offer complete coverage of its topic or substitute for an entire course on that topic. …
Overview Inferential statistics allows us to draw conclusions from data that might not be immediately obvious. This course focuses on enhancing your ability to develop hypotheses and use common tests such as t-tests, ANOVA tests, and regression to validate your claims. Syllabus
Overview Maths is intimately entwined with science and technology, whether it is used to analyse data collected on plants in the Amazon rainforest, to calculate the trajectory of a comet or design a bridge to connect two countries. This means that science and technology go hand-in-hand with maths, and that a firm grasp of maths …
Overview Math is everywhere. In this class, you’ll gain an in-depth understanding of algebraic principles, many of which you may have seen before, and learn how to use them to solve problems that we encounter in everyday life. The online version of College Algebra will cover all of the topics that you would see in …
Overview This is the second of a two-course sequence introducing the fundamentals of Bayesian statistics. It builds on the course Bayesian Statistics: From Concept to Data Analysis, which introduces Bayesian methods through use of simple conjugate models. Real-world data often require more sophisticated models to reach realistic conclusions. This course aims to expand our “Bayesian …
