The equations above represent the simplest SIR susceptible, infectious, recovered model — though it is still somewhat complicated! The intention is to introduce students to these concepts in a comprehensible and coherent way, rather than insisting on the mathematical rigour required for mathematics HL.

Statistics and Probability Topic 6: Students must study Tide modelling ib math sl the sub-topics in each of the topics in the syllabus as listed in the IB Maths SL guide. Calculus Mathematical Exploration In the exploration a student should develop his or her own focus with the teacher providing feedback via, for example, discussion, interview and drafting.

It is expected that the majority of these students will need a sound mathematical background as they prepare for future studies in subjects. The exploration is also intended to provide students with opportunities to increase their understanding of mathematical concepts and processes, and develop a wider appreciation of mathematics.

In the first scenario no members of the population are immunised, and that leads to nearly all the population becoming ill — but in the third scenario, enough members of the population are immunised to act as buffers against the spread of the infection to non-immunised people.

Another important parameter is R0, this is defined as how many people an infectious person will pass on their infection to in a totally susceptible population. Course Description This course caters for students who already posses knowledge of basic mathematical concepts, and who are equipped with the skills needed to apply simple mathematical techniques correctly.

Students should, wherever possible, apply the mathematical knowledge they have acquired to solve realistic problems set in an appropriate context. Students are also required to be familiar with the topics listed under prior learning.

Circular Functions and Trigonometry Topic 4: As well as providing information to health workers about the levels of vaccination needed to protect a population, it also helps govern first response actions when new diseases potentially emerge on a large scale for example, Bird flu, SARS and Ebola have all merited much study over the past few years.

Some of the R0values for different diseases are shown above. This shows how an airbourne infection like measles is very infectious — and how malaria is exceptionally hard to eradicate because infected people act almost like a viral storage bank for mosquitoes.

One simple bit of maths can predict what proportion of the population needs to be vaccinated to prevent the spread of viruses. It should allow the students to develop an area of interest them without a time constraint as in an examination, and allow all to experience a feeling of success.

Functions and Equations Topic 3: The basic model is based on the SIR model — this is represented by the picture above from Plus Maths which has an excellent and more detailed introduction to this topic.

The SIR model looks at how much of the population is susceptible to infection, how many of these go on to become infectious, and how many of these go on to recover and in what timeframe.

This method of protecting the population is called herd immunity This graphic above shows how herd immunity works.Review Notes for IB Standard Level Math ©Steve Muench [email protected] @stevemuench Please feel free to share the link to these notes.

Contents Prior learning 2 Topics 3 Topic 1—Algebra 3 Topic 2—Functions and equations 4. Essays - largest database of quality sample essays and research papers on Tide Modelling Ib Math Sl.

The IB maths SL (standard level) course focuses on introducing important mathematical concepts through the development of mathematical techniques.

The intention is to introduce students to these concepts in a comprehensible and coherent way, rather than insisting on the mathematical rigour required for mathematics HL. May 13, · How can mathematics be used to provide models that help us interpret data and make predictions?

How do the graphs of mathematical models and data help us. All of the exercise sets contain either answers for all of the exercises or full worked solutions for all of the exercises.

Review_Qs_Intro_Diff_Calc1_SLHL Set of 8 questions (divided into non-GDC and GDC allowed sections) covering introductory differential calculus content [worked solutions.

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