Student calculators - recommended by tomctutor: ( view detailed pdf file).    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, A-Level 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 Inverse-trig 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).
 Wolfram|Alpha. This is not a forum – it’s a “computational knowledge engine”. Many forum questions I saw can easily be solved using Wolfram|Alpha, 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 side-bar):
Here are the course units support notes -summaries for the new CfE Scottish curricula...
SQA Support-notes (course unit specs);
N3-Maths (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; Level4-RevisionExercises (pdf-76pg - 9Mb), I-can students log tick-sheet. CfE National4 Maths; N4Maths_homework-set1Q (pdf-15pg), N4Maths-AddedValue-revisionQ (pdf-20pg), N4Maths-AddedValue-answers. CfE National5 Maths;
N5_trig-revision -1, trig-revision-2, trig-revision-3, N5-vectors. N3-N5-Progression and Guidance, CfEMaths-progression-flowchart, revision material and mind maps can be found at mathsrevision.
CfE Higher Maths; Higher-homework-booklet (pdf- 28pg), I-can student's log tick-sheet. Course notes and weekly homework sheets can be found at MissDeely.weebly site. MissDeely'- HMaths Skill-Builder revision Questions (download this) (pdf- 60pg covering all three outcomes), Skill-Builder Answers-only (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 Q-only (6pg-pdf), 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 multiple-choice 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 Fx-83GT calculator and explains answers, markings against the relevant spec. outcomes- very clear- I recommend these. Spec. of the FX-83GTPlus> Casio site. National 4/5, Higher maths Millburn Acadamy there is mind-maps, support notes and links to most past papers (inc. older NQ) at all levels from S1-S6 (link). and Higher Worksheets each outcome (this is suitable also for newer CfE course) (link).  Notes, past-papers mi's and homework at Millburn Acy (link), here is a comprehensive formulae-sheet (pdf) suitable for your studies, thanks to D. Watkins. SQA-Question paper formula-sheet (2pg), Prelim AHMaths diagnostic test (Q-only)- my own! (worked soln pdf) sample AHMaths-prelim-with marking scheme (from 2009 pdf) PastPapers-cross reference from NQ to newer CfE curriculum units (Knox Academy) An investigation into parametric-curves 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 First-Order Differential Equations practice notes with exercise -pdf (3-pg) and their solutions- pdf. (for goodness sake- at this level I recommend to learn to use a graphics calculator!)  Here is a calculus Integral-Table (courtesy http://integral-table.com/) -pdf (14-pg) Calculus Differential Equations summary guide - pdf (2-pg) Laplace transforms table - pdf (1-pg). How to use the Ti-84 (Ti-83) 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:  Entertaining 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>MAXIMA 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 10-min 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, inverse-transform 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 user-supported free content online database of higher mathematics example problems.
Maths from the BBC (grades Standard - Higher)
Bitesize free
 CfE - National Curriculum
(SQA Maths link)
for N4-5-H-AH etc
Wolfrom Research: -  International Baccalaureate Maths:-
SL/HL/Studies/
IGCSE - free resources recommended site:
 IB Subject assessment guide (view) IBMathsSL(2014)-spec
IGCSE (EdExcel)
2009-spec and forms
 TI-NspireCX recommend (not the CAS) also Ti-83/84 (not Ti-89/92) unsure- see the approved list-pdf. 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.
 This is a site covering
arithmetic, algebra, geometry, functions and calculus for A-Level and UnderGraduate.
Videos and supporting documentation.
-- mathstutor
Examsolutions This site is a GCSE,
AS and A-level Maths revision site with over
1200 free maths video tutorials and worked solutions to past papers.
(recommended)
 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 Engineering-2 course: Is a mandatory unit in most HND engineering courses- covers differentiation, integration and its application from an engineering perspective- DG4L-34 complete notes (pdf-without 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.
|
Maths
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