Lectures will focus on Linear Algebra and Probability. 

Under Linear Alegbra, participants will initially look at the notion of a vector as a geometric object before considering it more fundamentally as an element of a vector space which can then generalise to other interesting objects. It will then consider linear mappings of these vectors as an object called a matrix, which can be studied in its own right. While Linear Algebra is a fundamental language of higher mathematics, the purpose of this course will be mainly about using logical, axiomatic arguments to develop critical thinking and communication skills. 

Under Probability, participants will look at ways to apply rigorous arguments to uncertain events. It will start with considering the idea of a probability distribution and expected value. Developing the algebra of these ideas will lead us to some powerful general results.

The afternoon seminars will provide insight into a variety of mathematical topics such as formal logic, information theory and machine learning. 

‘Cambridge Supervisions’ are a system of small-group personal tuitions that are a strength of the University. Participants in this programme will have several Supervisions to deeply engage with the course content.

Meet Paul Fannon, the driving force behind this programme and the Director of Studies in Mathematics at Jesus College, University of Cambridge. A distinguished figure in his field, Paul embarked on his academic journey at Cambridge as an undergraduate in 1998, specialising in Natural Sciences.

Paul has researched, written, and taught various facets of mathematics, penning numerous A-level and IB textbooks. As the Chief Examiner for the International Baccalaureate, he has played a pivotal role in shaping their Applications and Interpretations Mathematics course. With a wealth of teaching experience, he passionately delves into educational research, focusing on the development of critical thinking skills in mathematics and statistical modelling. Paul brings this dedication to teaching to the forefront as he, alongside a Cambridge University colleague, will personally lead participants through the ‘Cambridge University Mathematics Experience Week’.

To ensure a seamless learning experience, participants are expected to have a foundation in school-level algebra and statistics. 

Algebraic requirements:

Quadratic factorisation

Quadratic formula

Basic ideas of exponents and logarithms. 

Statistical Knowledge Requirements:

Basic rules and vocabulary of probability (e.g. independent, mutually exclusive, complement). 

Basic descriptive statistics: Mean, median, mode, range, standard deviation.

Assessment: Continuous assessment throughout lectures and supervisions ensures a thorough grasp of the material. There is no final examination. 

Certification: Upon completion of the programme, participants will a certificate from SternaXP. 

Venue: To be announced

Dates: March 2025 

Programme Fee: INR 60,000 (plus GST).