Student calculators  recommended by tomctutor: ( view detailed pdf file).
Visit Youtube resource at: http://www.youtube.com/user/patrickJMT
The justmathtutoring video index is at: http://patrickjmt.com/
These videos are short 10min productions created by PatrickJMT in Texas for tuition in Maths . Patrick uses a whiteboard with marker and works solutions to problems and explains necessary theory; his videos are some of the best in the subject  clear and concise, suitable for StandardGrade to Advanced Higher, ALevel and indeed right through to Graduate University level:
I have compiled a downloadable index of links to his videos (click here) in Word format.
Resource downloadable from this site.
See my tutorial videos on Calculus of Inversetrig Functions suitable for Adv. Higher Maths (SQA),
A2 Maths and UGMaths 1:
* Differentiation of Inverse Functions generic methods with examples (My YouTube playlist 4 videos).
There is also Powerpoint presentation as well as
a summary suitable for print (click here..pending).
WolframAlpha. This is not a forum – it’s a “computational knowledge engine”. Many forum questions I saw can easily be solved using WolframAlpha, for example “Convert 6 inches to cm.” or “Factor r^6 – 3r^4 +3r^2 1″. And the answer will be correct! You can also enter questions from almost any topic into the engine, e.g. science, news, history, biology and so on ad you are sure to get a meaningfull response: e.g. try "Newtons second law".
Note: better interaction with Wolfram Alpha
if you register with them for free and use your login! Note  due to different browsers rendition of files you need to download these pdf's then view them offline: SQA Maths..
National Mathematics CfE (SQA link on the right sidebar):
Here are the course units support notes summaries for the new CfE Scottish curricula...
SQA Supportnotes (course unit specs);
N3Maths (Lifeskills, Numeracy),
LTS Summary guidance and support notes for the CfE applied Advanced Higher Maths options; Advanced Higher Mathematics of Mechanics, Advanced Higher Statistics.
Student Notes; CfE Level4 Maths; Level4RevisionExercises (pdf76pg  9Mb), Ican students log ticksheet. CfE National4 Maths; N4Maths_homeworkset1Q (pdf15pg), N4MathsAddedValuerevisionQ (pdf20pg), N4MathsAddedValueanswers. CfE National5 Maths;
N5_trigrevision 1, trigrevision2, trigrevision3, N5vectors. N3N5Progression and Guidance, CfEMathsprogressionflowchart, revision material and mind maps can be found at mathsrevision.
CfE Higher Maths; Higherhomeworkbooklet (pdf 28pg), Ican student's log ticksheet. Course notes and weekly homework sheets can be found at MissDeely.weebly site. MissDeely' HMaths SkillBuilder revision Questions (download this) (pdf 60pg covering all three outcomes), SkillBuilder Answersonly (pdf 40pg). ps the CfEHigherMaths has essentially same content as original NQ Higher Maths only assessment is different. I have attached my own examples, notes and exercise for R&Cunit Applying algebraic skills to solve equations polynomials Qonly (6pgpdf), solutions pdf suitable for prelim and exam revision. (note: I intend to add a similar notes and exercises for inequalities and curve intersections soon). Higher Maths practice papers for exam revision (yes do the multiplechoice also): For videos on youtube for National4 and 5 (and through CfEHigher also) check out YouKenMaths playlist (link to his youtube channel); he uses the usual Casio Fx83GT calculator and explains answers, markings against the relevant spec. outcomes very clear I recommend these. Spec. of the FX83GTPlus> Casio site. National 4/5, Higher maths Millburn Acadamy there is mindmaps, support notes and links to most past papers (inc. older NQ) at all levels from S1S6 (link). and Higher Worksheets each outcome (this is suitable also for newer CfE course) (link). Notes, pastpapers mi's and homework at Millburn Acy (link), here is a comprehensive formulaesheet (pdf) suitable for your studies, thanks to D. Watkins. SQAQuestion paper formulasheet (2pg), Prelim AHMaths diagnostic test (Qonly) my own! (worked soln pdf) sample AHMathsprelimwith marking scheme (from 2009 pdf) PastPaperscross reference from NQ to newer CfE curriculum units (Knox Academy) An investigation into parametriccurves using WolframAlpha: Lissajous pattern (pdf), Wolfram solutions. My short guide (with problems) to Complex Numbers and applications of DeMoivre' Theorem (pdf 4pg)  answers (pdf) My FirstOrder Differential Equations practice notes with exercise pdf (3pg) and their solutions pdf. (for goodness sake at this level I recommend to learn to use a graphics calculator!) Here is a calculus IntegralTable (courtesy http://integraltable.com/) pdf (14pg) Calculus Differential Equations summary guide  pdf (2pg) Laplace transforms table  pdf (1pg). How to use the Ti84 (Ti83) Plus Graphing Calculator (by Mike Floersch) half hour guide with examples in graphs, trig, statistics and programming: Primrose Kitten covering how to answer typical exam style questions: The whole of GCSE 91 Maths in only 2 hours!! Higher and Foundation Revision for Edexcel, AQA or OCREntertaining and educational presentation videos published by Youtube Mathloger on all sorts of mathematical proofs such as irrationality of Pi, Fermat's Last Theorem, Euler Number e and so on, he also includes videos for junior school as well as PostGraduate level content: Here's my abstract document of his channel(s) (pdf). (new*) Mathloger: Epicycles, complex Fourier series and Homer Simpson's orbit (Youtube).. Multivariable Calculus Course Assistant by Wolfram Alpha.. If you are having difficulty understanding and solving multivariate calculus problems in your course you might want to download the App from Wolfram Alpha (website): Prof. Denis Auroux at MIT see right hand side margin>anorman728_Maxima CAS Tutorials_youtubeMAXIMA 5 CAS. Here is an excellent short series of online (youtube) videos, by anorman728, for this software CAS. The program is free to use on your PC, Mac or tablet. I have produced a download (3pg pdf) of his playlist pdf. Here is a short 10min tutorial (pdf) on Maxima prepared by AntonioCangiano Here also is my sample Matrices script which will open directly in the program if you have it installed!zip file, here's also the printout of the script running in wmMaxima: solving matrices EROs script printout, working with matrices  script printout. (I am producing a set of Maxima scripts for common problems upto UGMaths level soon). UGMaths scripts  Laplace transform, inversetransform and shift examples zip file, Ex script printout pdf .(new*) The Open University Maths module Essential mathematics 1 (MST124) (link) as well as other educational bodies, use this software I recommend it (Maxima i.e.) for students of college, university or engineering courses (the program is similar to Maple).  Maths examples and solutions (grades Higher  PGrad) _ ExampleProblems.com is the first usersupported free content online database of higher mathematics example problems.
Maths from the BBC (grades Standard  Higher)
Bitesize free
RSS Feed: SQA CfE  National Curriculum
(SQA Maths link)
for N45HAH etc
Wolfrom Research:  International Baccalaureate Maths:
SL/HL/Studies/
IGCSE  free resources recommended site:
Adrian Sparrows Maths Pages
IB Subject assessment guide (view) IBMathsSL(2014)spec
IGCSE (EdExcel)
2009spec and forms
TINspireCX recommend (not the CAS) also Ti83/84 (not Ti89/92) unsure see the approved listpdf. GCSE Maths Tutor This is a site with free revision books, worksheets, videos etc.. covering Number, Algebra, Shape space, Information handling.
Exam papers from Edexcel and AQA.
Maths Tutor
This is a site covering
arithmetic, algebra, geometry, functions and calculus for ALevel and UnderGraduate.
Videos and supporting documentation.
 mathstutor
Examsolutions This site is a GCSE,
AS and Alevel Maths revision site with over
1200 free maths video tutorials and worked solutions to past papers.
(recommended)
Scotland Mathematics University Programs. Linear Algebra MIT OpenCourseware.
Video lectures by Prof. Gilbert Strang (yes he whom wrote the book).
The material covers UG year 1 and 2 of most university syllabus in Linear Algebra.
videos index  download Course Materials (zip 14MB)
Introduction to Linear Algebra 4th ed.
 the book contents.
HNC Engineering Maths (for colleges) recommended book:
Engineering Mathematics K.A.Stroud & D.J.Booth currently 7th edition.
 book contents 
SQA's Maths for Engineering2 course: Is a mandatory unit in most HND engineering courses covers differentiation, integration and its application from an engineering perspective DG4L34 complete notes (pdfwithout answers!).
Calculus
Lifesaver series by
Prof. A. Banner
Princeton (videos)
I thoroughly recommend this resource as A. Banner
is a great teacher and his course covers most of the material found at Uni. single variable calculus course.
The book I recommend is>
I also recommend:
MathDrBob videos on youtube > playlists
(don't be freightened by his Jiu Jitsu stuff  he's really nice chap!)
More advanced students: Complex Analysis as taught by Jose F. O'Farrill (Edinburgh Uni.)  link albeit as a physicist is still maths rigorous. MIT 18.02 (2007)  link vectors, partials.
