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, 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 asa 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 revisionQuestions (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 (Q-only)- my own! (worked soln pdf) AHMaths diagnostic test 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!) is at it again, see his half-hour video all about 1ODEs (First Order Differential Equations), very good at explaining all the various types, e.g. Linear, Seperable, Exact, Integrating Factor and so on:DLBMathsHere is a calculus (courtesy Integral-Tablehttp://integral-table.com/) -pdf (14-pg)Calculus Differential Equations summary guide - pdf (2-pg)Laplace transforms table - pdf (1-pg).How to use the (by Mike Floersch)- half hour guide with examples in graphs, trig, statistics and programming:Ti-84 (Ti-83) Plus Graphing CalculatorGCSE Maths (Foundation, Higher) a great revision guide in one 2hr video byPrimrose Kitten covering how to answer typical exam style questions:## The whole of GCSE 9-1 Maths in only 2 hours!! Higher and Foundation Revision for Edexcel, AQA or OCREntertaining and educational presentation videos published by Youtube Mathlogeron all sorts of mathematical proofs such as irrationality of Pi, Fermat's Last Theorem, Euler Number and so on, he also includes videos for junior school as well as PostGraduate e level content: Here's my abstract document of his channel(s) ( pdf). 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): Pauls's online maths notes (link) is a free source of notes, examples and assignments related to Calculus at this level. Also a set of online videos by
| Maths examples and solutions (grades Higher - PGrad) _ is the first user-supported ExampleProblems.comfree content online database of higher mathematics example problems.
Maths from the BBC (grades Standard - Higher)
freeBitesize## RSS Feed: SQACfE - National Curriculum (SQA
Maths link)for N4-5-H-AH etc
Wolfrom Research: -
International BaccalaureateMaths:-SL/HL/Studies/
IGCSE - free resources recommended site:
Adrian Sparrows Maths Pages view)IB Subject assessment guide (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 TutorThis is a site with free revision books, worksheets, videos etc.. covering Number, Algebra, Shape space, Information handling.
Exam papers from Edexcel and AQA.
Maths TutorThis is a site covering
arithmetic, algebra, geometry, functions and calculus for A-Level and UnderGraduate.
Videos and supporting documentation.
--
mathstutorExamsolutions This site is a GCSE,
AS and A-level Maths revision site with over
free maths video tutorials and worked solutions to past papers.1200(recommended)
Scotland Mathematics University Programs.
Linear AlgebraMIT 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.
Introduction to Linear Algebra 4th ed. - the book contents.Also Prof. Strang gives MIT lectures in calculus, here's a short playlist of videos from that series concentrating on Laplace Transforms: (pdf).
HNC Engineering Maths (for colleges) recommended book:
Engineering Mathematics-K.A.Stroud & D.J.Booth currently 7th edition. -
book contents -Complete collection of interactive Powerpoint slides and questions at support- macmillaniheSQA'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!).CalculusLifesaver series byProf. A. BannerPrinceton (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:
(don't be freightened by his
Jiu Jitsu stuff - he's really nice chap!)More advanced students: as taught by Complex AnalysisJose F. O'Farrill (Edinburgh Uni.) - link albeit as a physicist is still maths rigorous.MIT 18.02 (2007) - link vectors, partials. Functions Analysise.g. Pointwise and Uniform convergence: Link to MIT 131 (Jul 2018) by Prof Ou.Rudin's Principles of Mathematical Analysis.(eBook)My resources (pdf) (including examples and Feynman Integration) (*New) |