IB Maths (Part-1)- Functions-An Introduction to functions in Mathematics

In IB Maths both HL and SL, functions are one of the most important areas of mathematics because they lie at the heart of much of mathematical analysis. The concept of function is easy to understand.
Suppose I say that:

      y=x²  

where x∈R. This says that y depends on x this can be said that y is a function of x. or

   y=f(x)

We can also say that x=√y here x depends on y or x is a function in y or

  x=f(y)  

so it can be said that a function is an operator which takes an input and gives an output.The input is called independent variable while output is called dependent variable

<img src="functions.jpg" alt="functions">

ib elite tutor explained functions

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IB Diploma Programme,Middle year programme and primary year programme subjects

img src="img/subjects.jpg"

In primary year programme (PYP) an IB student can opt for following subjects:

1 Mathematics

2 Sciences and Technology
3 Art

4 Social Studies

5 Personal,Social and Physical Education

6 Languages

In middle year programme (MYP) an IB student can opt for following subjects:

  1.  Mathematics
  2. Sciences a)Physics              b)Chemistry
    c)Biology
  3. Arts (performing and visual arts)
  4. Humanities a)History   b)Geography
  5. Physical Education
  6. Technology
  7. Language one
  8. Language two

Students who pursue the IB diploma must take six subjects:one each from Groups 1–5 and either one from Group 6 or a permitted substitute from one of the other groups, Three or four subjects must be taken at Higher level (HL) and the rest at Standard level (SL)

Here are the subject groups offered by IB
First Group:Studies in language and literature. Taken at either SL or HL, this is generally the student’s local language, with over 80 languages available. As of courses starting in summer 2011, there are two options for Language A, Literature, which is very similar to the old course, and Language and Literature, a slightly more difficult for.

Second Group:  An additional language, taen at the following levels: Language B (SL or HL), or Language ab initio (SL only).

Third Level: Individuals and societies. Humanities and social sciences courses offered at both SL and HL.Business and Management, Geography, Economics, History, I.T(information technology) in a Global Society, Psychology, philosophy and Social and Cultural Anthropology and World Politics.The course named as World Religions and the inter-disciplinary course Environmental Systems and Societies are also offered at SL level only.

Fourth Group: Chemistry, Biology, Physics, Design Technology and Computer Science are offered at both HL and Sl levels.The course Sport, Exercise and Health Science and the interdisciplinary course Environmental Systems and Societies are offered at SL only

Fifth Group: Mathematics. In order of increasing difficulty, the courses offered are Mathematics Studies, Mathematics SL and HL, and Further Mathematics SL and HL. The computer science courses were moved to Group 4 as a full course from first examinations in 2014

Sixth Group: The arts. Courses offered at both SL and HL: Dance, foreign languages, Music, Theatre, Visual Arts, and Film.Instead of taking a Group 6 course, students may choose to take an additional course from Groups 1–4 or either Further Mathematics HL (if already studying Mathematics HL) a course for Computer science from Group 4, or course based on school syllabus approved by IB.

Ib is also designing an online diploma course, I will discuss that in my next article.