Overview Welcome Dear Learner!It is a pleasure to welcome you to the course Mathematical Economics.This course has been designed to make the study of Economics using Mathematics simple and easy to understand.Apart from Economics, this course will be beneficial to solve problems in Engineering, Architecture, Medicine, Finance, Management, Policy-making and Analytics.Objectives of the course:Build models …
Overview This tutorial introduces students to essential ideas related to vectors and matrices. These mathematical structures form the foundations for many key topics in complex systems, such as dynamical systems, stochastic processes, and network science. The prerequisite for this tutorial is knowledge of high-school algebra. The content of the tutorial is built, in a self-contained …
Overview Differential equations are any equations that include derivatives and arise in many situations. This free course, Introduction to differential equations, considers three types of first-order differential equations. Section 1 introduces equations that can be solved by direct integration and section 2 the method of separation of variables. Section 3 looks at applications of differential …
Overview This tutorial contains excerpts from Elizabeth Bradley’s Nonlinear Dynamics 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 This free course, Introduction to number theory, is a branch of mathematics concerned with the properties of integers. Section 1 introduces Euclid’s algorithm, which is used to find the HCF of two integers, and the idea of congruences, mathematical statements used to compare remainders when two integers are each divided by another integer. Section …
Overview In this free course, matrices are used as a concise way of representing systems of linear equations which occur frequently in mathematics. Section 1 looks at simultaneous linear equations in two and three unknowns and then generalises the ideas to systems of linear equations. Section 2 develops a strategy for solving systems of linear …
Overview This course by Imperial College London is designed to help you develop the skills you need to succeed in your A-level mathematics exams.You’ll also be encouraged to consider how what you know fits into the wider mathematical world. Over seven modules, covering an introduction to calculus, Newton’s laws and statistical hypothesis testing your initial …
Overview “Welcome to Introduction to Numerical Mathematics. This is designed to give you part of the mathematical foundations needed to work in computer science in any of its strands, from business to visual digital arts, music, games. At any stage of the problem solving and modelling stage you will require numerical and computational tools. We …
Overview This course introduces simple and multiple linear regression models. These models allow you to assess the relationship between variables in a data set and a continuous response variable. Is there a relationship between the physical attractiveness of a professor and their student evaluation scores? Can we predict the test score for a child based …
Overview When you meet a new person, it is hard to know what to expect. You may not be able to read the person or understand what they mean. Even if you want to have a good relationship with them, this lack of understanding can make interactions tense, unpredictable and scary! The same is true …
