Mathematics

this guide has got some information about Mathematics IA. the criteria are included with details. I have got some tips about the portfolio itself and there is a list of calculator and graphing software suggestions.

If you get the infinite summation portfolio, chances are that you might be spending a good handful of minutes adding up your terms on your calculator and showing the calculations. However, there is a function to automatically sum up the list of terms with a respective sequence. NOTE: You must have TI-software, your TI calculator and your link cable in order to get screenshots.
TI-Calculator required.
First of all you can you the sum and sequence function to calculate your finite sum of terms.
sum(seq(expression,variable,beginning term (usually 0),ending term[,increment]))
There is also a method of producing a summation graph instead of a function graph, which will be shown in the images I've attached. First you must set your calculator to sequential mode. Then on the "y=" button, you will get something completely different. Insert your summation function on u(n), and just copy the rest as it serves as the expression needed for the function to sum. In the summation graph, the term function is also shown so you might want to use editing software to rid the points. Also, from the charts, u(n) is the term value while v(n) is the sum value.
Some functions are ones that I am not wholly familiar with. I was searching how to do this online, and got most of my information came from this site: http://www2.stetson.edu/~mhale/teach/ti84.htm
If there are any questions, don't hesistate to contact me.

Basic linear equations recap and a few practise questions.
Made for the beginning of the Maths SL course. (Chapter 1)

A file about IB Math HL paper 3, that contains a lot of very helpful exam tips and tricks for quick revision.

Algebra_Cheat_Sheet_Reduced.pdf

Common_Derivatives_Integrals.pdf

Common_Derivatives_Integrals_Reduced.pdf

Laplace_Table.pdf

Trig_Cheat_Sheet.pdf

Trig_Cheat_Sheet_Reduced.pdf

Helpful if you want to know your TI calculate inside out. Often shows alternate methods for solving things, i.e. graphical and non-graphical method. Also contains a chapter on programming.

Here are two Mathematics HL worksheets from my school, they are based on the following concepts:
i)Binomial Theorem
ii)Logs

The file contains 12 .pdf files each presenting extended concepts for more in-depth understanding of each chapter in Mathematics Higher Level Course Companion (Oxford).

For people struggling to understand the implicit differentiation method or the integration using substitution or parts, this should prove really useful

Date completed: 19th August 2014
IB Score: 18/20 (marked by the IB on November 2014)
In this exploration, I created various models using polar equations, which I converted into parametric equation, in order to model a contact lens pattern. I used rose curves and ovals.

Questions on differentiation + answers..
Can be solved by SL and HL students.

An official guide from the IBO dissecting each criterion and additional guidance for the Math SL IA, marked 2014 onwards.

Linear regression by a really simple method, which consists in a stadistic analysis

A concise overview of the Algebra sections in the Math HL syllabus. This document is made to aid in review and exam preparation. Feel free to contact me if you find any errors or have any suggestions.

A concise overview of the Functions sections in the Math HL syllabus. This document is made to aid in review and exam preparation. Feel free to contact me if you find any errors or have any suggestions.

Probability isn't included in here, enjoy!

this is a file on the completing square method.
this method is often asked in ib.
this file would help all the students struggling
to understand this particular method.

this is a file on matrices.
it explains the determinant and inverse part of matrices.
it is quite useful for the IB curriculum.
it also has a link to video in it.

this is a presentation on the quadratic determinant.
it will help understand the basics and sole such equations

this presentation is on functions and relations and
explains the concept very well with diagrams and examples.