Skip to content

We have tagged as 'Induction: Mathematics & Statistics' ?

Tag: Induction: Mathematics & Statistics

Grid List Results: 17 items
Being an OU student free course icon Level Badge icon

Education & Development 

Being an OU student

The induction course for new OU students, covering the essentials for starting your undergraduate studies.

Free course
12 hrs
Copyrighted  image Icon Copyright: © Thomas Jurkowski | Dreamstime.com
Particle physics free course icon Level

Science, Maths & Technology 

Particle physics

This free course, Particle physics, will give you an overview of current concepts and theories in the field. You will learn about the fundamental components of matter – known as leptons and quarks – and the composite particles, such as protons and neutrons, which are composed of quarks. You will see that all particle reactions may be described in terms of one of two fundamental interactions, known as the strong and the weak interactions, responsible for binding particles together and allowing them to change type, respectively. This OpenLearn science course was updated with the kind support of Dangoor Education340, the educational arm of The Exilarch's Foundation.    

Free course
5 hrs
Kinematics of fluids free course icon Level

Science, Maths & Technology 

Kinematics of fluids

This free course examines the basic kinematics of two-dimensional fluid flows. Section 1 introduces the differential equations for pathlines and streamlines. Section 2 introduces a scalar field, called the stream function, which for an incompressible fluid provides an alternative method of modelling the flow and finding the streamlines. Sections 2 and 3 derive the stream functions for several simple two-dimensional flow types (the uniform flow, source, doublet and vortex), and suitable combinations of these are used to model more complicated flows. Section 4 introduces the idea of differentiation following the motion, and Euler’s equation is developed in Section 5.

Free course
16 hrs
Medical statistics free course icon Level

Science, Maths & Technology 

Medical statistics

This free course is concerned with some of the statistical methods used in epidemiology and more widely in medical statistics. Section 1 introduces cohort studies in which individuals are classified according to their exposure and followed forward in time to evaluate disease outcomes. Section 2 looks at models for cohort studies. Section 3 introduces case-control studies in which individuals are selected according to their disease status and past exposures are then ascertained. Section 4 covers testing for no association in cohort studies and case-control studies.

Free course
16 hrs
Linear programming – the basic ideas free course icon Level

Science, Maths & Technology 

Linear programming – the basic ideas

This free course examines the formulation and solution of small linear programming problems. Section 1 deals with the formulation of linear programming models, describing how mathematical models of suitable real-world problems can be constructed. Section 2 looks at graphical representations of two-dimensional models, considers some theoretical implications and examines the graphical solution of such models. Section 3 introduces the simplex method for solving linear programming models and Section 4 uses matrix notation to formalize the simplex method.

Free course
16 hrs
Copyrighted  image Icon Copyright: Used with permission
Using a scientific calculator free course icon Level

Science, Maths & Technology 

Using a scientific calculator

Do you have a Casio fx-83 ES scientific calculator (or a compatible model) and want to learn how to use it? This free course, Using a scientific calculator, will help you to understand how to use the different facilities and functions and discover what a powerful tool this calculator can be!

Free course
10 hrs
Copyrighted  image Icon Copyright: Used with permission
Exploring data: Graphs and numerical summaries free course icon Level

Science, Maths & Technology 

Exploring data: Graphs and numerical summaries

This free course, Exploring data: graphs and numerical summaries, will introduce you to a number of ways of representing data graphically and of summarising data numerically. You will learn the uses for pie charts, bar charts, histograms and scatterplots. You will also be introduced to various ways of summarising data and methods for assessing location and dispersion.

Free course
20 hrs
Introduction to differentiation free course icon Level

Science, Maths & Technology 

Introduction to differentiation

This free course is an introduction to differentiation. Section 1 looks at gradients of graphs and introduces differentiation from first principles. Section 2 looks at finding derivatives of simple functions. Section 3 introduces rates of change by looking at real life situations. Section 4 looks at using the derivative of a function to deduce useful facts for sketching its graph. Section 5 covers the second derivative test, used to determine the nature of stationary points and ends by looking at rates of change, including the real-life situation, using differentiation to find acceleration.

Free course
18 hrs
Copyrighted  image Icon Copyright: Used with permission
An introduction to complex numbers free course icon Level

Science, Maths & Technology 

An introduction to complex numbers

In this free course, An introduction to complex numbers, you will learn how complex numbers are defined, examine their geometric representation and then move on to looking at the methods for finding the nth roots of complex numbers and the solutions to simple polynominal equations.

Free course
16 hrs
Modelling events in time free course icon Level

Science, Maths & Technology 

Modelling events in time

This free course develops ideas about probability and random processes. Sections 1 and 2 introduce the fundamental ideas of random processes through a series of examples. Section 3 describes a model that is appropriate for events occurring ‘at random’ in such a way that their rate of occurrence remains constant. Section 4 derives the main results from Section 3. Section 5 introduces the multivariate Poisson process in which each event may be just one of several different types of event. Section 6 introduces the non-homogeneous Poisson process in which events occur at a rate that varies with time.

Free course
16 hrs
Metric spaces and continuity free course icon Level

Science, Maths & Technology 

Metric spaces and continuity

This free course contains an introduction to metric spaces and continuity. The key idea is to use three particular properties of the Euclidean distance as the basis for defining what is meant by a general distance function, a metric. Section 1 introduces the idea of a metric space and shows how this concept allows us to generalise the notion of continuity. Section 2 develops the idea of sequences and convergence in metric spaces. Section 3 builds on the ideas from the first two sections to formulate a definition of continuity for functions between metric spaces.

Free course
16 hrs
Rings and polynomials free course icon Level

Science, Maths & Technology 

Rings and polynomials

This free course contains an introduction to rings and polynomials. We see that polynomial rings have many properties in common with the integers; for example, we can define a division algorithm, and this enables us to develop the analogue of the highest common factor for two polynomials. Section 1 explores the abstract definitions of a ring and a field. Sections 2 and 3 define polynomial rings where the coefficients of the polynomials are elements from a given field. Section 3 develops results concerning the divisibility of polynomials.

Free course
16 hrs
Page 1 of 2
Page 1 of 2