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.

Paul Fannon is the Director of Studies in Mathematics at the University of Cambridge and a Fellow at Jesus College and Christ’s College, Cambridge. He is a leading Mathematics educator globally, currently Chief Examiner for the International Baccalaureate, where he helped develop their new Applications and Interpretations Mathematics course, a Fellow of the Institute for Mathematics and its Applications, the UK PM’s advisor for Mathematics education, and deeply involved with science applications of Mathematics, AI, algorithms and data sciences.

He works extensively with school students across the world. Paul, a distinguished Cambridge academic and OBE recipient, specialises in data science and machine learning. He has significantly shaped the UK’s A-level mathematics curriculum and authored numerous textbooks. Recognised for his innovative teaching, Paul has twice won the CUSU student-led teaching awards, demonstrating his commitment to enhancing educational standards and student engagement. 

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: Participants will receive a Cambridge/SternaXP certificate upon completion. 

Venue: India 

Dates: January 2025

Programme Fee: INR 1,00,000 (inclusive of GST)