Math terminology
Lectures for the course Math Terminology for Incoming Uni Students.
SPECIAL NOTE: This is part of my mini MOOC course: Math Terminology for Incoming Uni Students which is available now at www.openlearning.com. Interesting exercises, challenges and puzzles will feature, and you'll be able to make comments, blogs and chat with others on the course. Join up for free now! NEW SUBTITLES in ENGLISH and CHINESE: I am delighted that you are now able to view English and Chinese subtitles to these videos, thanks to the Eduinfinity Translation Group  who did the translation work voluntarily. Just press the CC button at the base of the video and you can view both English and Chinese subtitles. Their website is http://www.eduinfinity.org where you can find many more MOOC projects that they have developed Chinese translations for. 
This is first of a series that will discuss foundations of mathematics. Contains a general introduction to the series, and then the beginnings of arithmetic with natural numbers. This series will methodically develop a lot of basic mathematics, starting with arithmetic, then geometry, then algebra, then analysis (calculus) and will also treat so called set theory.
It will have a lot of critical things to say once we get around to facing squarely up to the many logical weaknesses of modern pure mathematics. The series is meant to be viewed sequentially. We spend a lot more time and effort than usual on fundamental issues with number systems. If you are a more advanced student, or a fellow mathematician, then the first few dozen videos might be a bit slow. But they are nonetheless important! 

This series will give a quick review of mathematical terminology for first year university students who will be taking mathematics. This video starts with terminology involved in arithmetic.
This series is especially aimed at students from a nonEnglish speaking background who would like to have a brief summary of the language of mathematics that they are going to need most in first year at university (such as UNSW). 

This series will give a quick review of mathematical terminology for first year university students who will be taking mathematics. This video deals with terminology involved in elementary geometry. We discuss elementary Euclidean geometry, with points, lines and circles, basic shapes, triangles and triangle geometry, polygons, transformations, congruent and similar figures, the Platonic solids and some basic Cartesian coordinate geometry.


We review essential notation and terminology in Algebra for incoming first year Uni/college students planning on taking mathematics courses. Polynomials figure prominently, as does the Binomial theorem, arithmetic and geometric sequences and series, and we consider also rational functions and arithmetic with some simple power series.. .


We look at terminology and notation associated to curves, in particular the classical conic sections, functions such as the exponential and logarithm, and some surfaces in three dimensional space. These notions are of vital importance in the calculus.


In this lecture we review high school mathematics language and notation relating to sets, logic and basic graph theory. The first two topics are particularly important as they provide a language and notation that is common in many other areas of mathematics.


Here we look at basic terminology, notation, and ideas of the differential and integral calculus.
We start with the key motivating example of the relationships between position, velocity and acceleration, move to differentiation, talk a little about differentials, and then on to definite and indefinite integration. 

We give some general and specific tips for effective writing of mathematics solutions; especially important when writing tests, exams, problem sets and assignments.

