Student Gateway

H.E.L.M. (Helping Engineers Learn Mathematics) offers a wide range of materials in mathematics and statistics for 1st and 2nd year Engineers, however much of the material can be used by other students.

mathcentre offers a wide range of free resources to aid the transition from 2nd to 3rd level mathematics education. Note that if you click on both communities and links, you will find additional interesting resources and there is an opportunity to upload your own.

mathtutor offers a range of materials in mathematics

statstutor offers a range of materials in statistics.

Maths E.G.  is an extensive database, with thousands of questions and worked solutions. Note that there is a specific section where teachers can register.

Head Start Maths  Ofers offers a range of materials directed at Mature students who are entering third level.

The MacTutor History of Mathematics Archive  contains extensive of information on the history of mathematics and on mathematicians.

nrich  shows the importance of mathematics in science, enginneering and technology

Just Math Tutorials/ PatrickJMT  contains a wide range of videos on various topics in mathematics.

KhanAcademy contains a wide range of videos on various topics in mathematics and other subjects.

Paul's Online Math Notes contains a wide range of notes from lectures and tutorials on various topics in mathematics (mostly calculus courses). There is also a section with advice on how to study mathematics.

Math24.net  contains a wide range of notes on topics in calculus and differential equations.

WisWeb. Freudenthal Institute's website for secondary level Maths education in the Netherlands. It is also useful for third level Mathematics. The applets are very extensive and interactive; they require Java

Periodic functions

This page contains basics of periodic functions and their summation.

Exercise on finding the period, amplitude etc of the given function, including identifying a periodic function.

Mathematical definition of periodic function, and further details. 

Periodic function explanation and examples

Videos on graphical approach to periodic function: Part 1, Part 2, Part 3

Trigonometry

Trigonometric functions and interactive graphs

Trigonometric functions and interactive plots

Trigonometric functions basic definition in terms of complex exponentials, Osborn’s rule etc

Pythagoras' theorem- an animation. Other sections covered are sine, cosine, tangent and measurements in radians.

Arctangent problems and details

Khan Academy video on trigonometry

Further details on Trigonometric functions

Powers of 10

Basics of powers of 10

Basics and exercise of powers of 10

Gradient

Gradient of a straight line

Exercise

Explanation of gradient with exercises

Directional Derivatives and Gradient Vector

NPTEL lecture on The gradient

Definition of gradient of a function