Topic 2Functions and equations 24 hours The aims of this topic are to explore the notion of a function as a unifying theme in mathematics, and to apply functional methods to a variety of mathematical situations.
Not required: formal treatment of permutations and formula for n rP. Int: The so-called Pascals triangle was known in China much earlier than Pascal.Ĭalculation of binomial coefficients usingĦn ry C X= and then reading coefficients from the table. Attributing the origin of a mathematical discovery to the wrong mathematician. TOK: Are logarithms an invention or discovery? (This topic is an opportunity for teachers to generate reflection on the nature of mathematics.) Laws of exponents laws of logarithms.Ĭounting principles may be used in the development of the theorem.Īim 8: Pascals triangle. Examples:Īppl: Chemistry 18.1 (Calculation of pH ). Examples include compound interest and population growth.ġ.2 Elementary treatment of exponents and logarithms. TOK: What is Zenos dichotomy paradox? How far can mathematical facts be from intuition?Īpplications. Kronecker consider that a mathematical object does not exist unless it can be constructed from natural numbers in a finite number of steps. TOK: Debate over the validity of the notion of infinity: finitists such as L. TOK: How did Gauss add up integers from 1 to 100? Discuss the idea of mathematical intuition as the basis for formal proof. Int: Aryabhatta is sometimes considered the father of algebra. Technology may be used to generate and display sequences in several ways.
Topic 1Algebra 9 hours The aim of this topic is to introduce students to some basic algebraic concepts and applications.ġ.1 Arithmetic sequences and series sum of finite arithmetic series geometric sequences and series sum of finite and infinite geometric series. This is a piece of written work that involves investigating an area of mathematics. Internal assessment in mathematics SL is an individual exploration. Students are also required to be familiar with the topics listed as prior learning. Students must study all the sub-topics in each of the topics in the syllabus as listed in this guide. Mathematics SL guideFirst examinations 2014Īll topics are compulsory.
0 kommentar(er)
