Questions - 1 Notation Of the various notations in use the...

Info icon This preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
1. Notation Of the various notations in use, the IBO has chosen to adopt a system of notation based on the recommendations of the International Organization for Standardization (ISO). This notation is used in the examination papers for this course without explanation. If forms of notation other than those listed in this guide are used on a particular examination paper, they are defined within the question in which they appear. Because students are required to recognize, though not necessarily use, IBO notation in examinations, it is recommended that teachers introduce students to this notation at the earliest opportunity. Students are not allowed access to information about this notation in the examinations. In a small number of cases, students may need to use alternative forms of notation in their written answers. This is because not all forms of IBO notation can be directly transferred into handwritten form. For vectors in particular the IBO notation uses a bold, italic typeface that cannot adequately be transferred into handwritten form. In this case, teachers should advise students to use alternative forms of notation in their written work (for example, , or ). x r x x Students must always use correct mathematical notation, not calculator notation. the set of positive integers and zero, {0,1, 2, 3, ...} the set of integers, {0, 1, 2, 3, ...} ± ± ± ++ the set of positive integers, {1, 2, 3, ...} the set of rational numbers + the set of positive rational numbers, { x x , x > 0} the set of real numbers + the set of positive real numbers, { x x , x > 0} the set with elements 1 2 { , , ...} x x 1 2 , , ... x x the number of elements in the finite set A ( ) n A the set of all x such that { | } x is an element of is not an element of the empty (null) set the universal set U union intersection is a proper subset of is a subset of 1
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
the complement of the set A A a divides b | a b , a to the power of , root of a (if then ) 1/ n a n a 1 n th n 0 a 0 n a , a to the power , square root of a (if then ) 1/ 2 a a 1 2 0 a 0 a the modulus or absolute value of x , that is x < - R , 0 for R , 0 for x x x x x x is approximately equal to is greater than is greater than or equal to is less than < is less than or equal to is not greater than / is not less than < / the term of a sequence or series n u th n the common difference of an arithmetic sequence d the common ratio of a geometric sequence r the sum of the first n terms of a sequence, n S 1 2 ... n u u u + + + the sum to infinity of a sequence, S 1 2 ... u u + + 1 n i i u = 1 2 ... n u u u + + + 1 n i i u = 1 2 ... n u u u × × × the binomial coefficient, , in the expansion of n r th r 0,1, 2,... r = ( ) n a b + 2
Image of page 2
is a function under which each element of set A has an image in set B : f A B f is a function under which is mapped to : f x y a f x y the image of under the function ( ) f x x f the inverse function of the function 1 f - f the composite function of and f g o f g the limit of as tends to lim ( ) x a f x ( ) f x x a the derivative of with respect to d d y x y x the derivative of
Image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern