New from QFA: Real Analysis Self-paced Course
We’ve just released the first module of our new self-paced Real Analysis course series, now available to all subscribers on any plan.
You can download the syllabus here and see what this brief and concise introduction to Real Analysis offers.
Real Analysis is the rigorous foundation behind much of modern science, engineering, and data-driven topics.
In physics, from quantum mechanics to general relativity, physical laws are written in the language of limits, continuity, differentiability and integration. Here you’ll learn these ideas with the depth needed to go beyond formulas and truly understand the theory.
In machine learning and AI, concepts such as algorithm convergence, stability of numerical methods and function approximation all rest on Real Analysis. You’ll explore ideas such as uniform convergence and the Stone–Weierstrass theorem that underpin many modern learning architectures.
In other STEM fields such as engineering, biology and economics, strong analytical foundations are essential for building accurate models, running simulations and making reliable predictions. This course gives you the foundational tools to work confidently with infinite processes, error bounds and functional spaces, preparing you for the more advanced courses on the QF Academy platform.
About QF Academy
Contrary to the popular myth, mathematicians are not born, they are made. Just like bodybuilding, building mathematical strength takes dedication, consistency, and the right training environment. With the right guidance and support, you can go from hesitant to highly capable.
In fact, many great mathematicians struggled with mathematics in high school and only began to excel when they encountered university-level mathematics. This is because traditional high school education often relies heavily on memorising formulas, rather than focusing on first principles and the axiomatic approach that is emphasized at advanced levels.
What makes us different:
PhD-Level Rigour: Learn to think like mathematician with proof-based approaches to foundational topics such as linear algebra, differential equations, functional analysis, and differential geometry (modern approach)
Real-World Applications: Connect abstract theories directly to quantum computing, machine learning algorithms, and other emerging technologies
Outcomes Guarantee: we are the only e-learning platform that offers a 'Learn, Succeed, or Get Refunded' policy for anyone who completes one of our specialisation courses
Happy rest of the week!
QF Academy team
