Dr. Jad Matta

Pure & Applied Mathematics

Mathematics

From the abstract elegance of topology to the practical power of numerical analysis — explore courses that reveal the hidden structures underlying our universe.

Clay Mathematics Institute

The Millennium Prize Problems

In 2000, the Clay Mathematics Institute designated seven of the deepest, most difficult problems in mathematics — each carrying a $1,000,000 reward for a correct, peer-reviewed solution. These problems represent the frontier of human mathematical understanding.

$1,000,000 per unsolved problem

01 Riemann Hypothesis

02 P versus NP Problem

03 Birch & Swinnerton-Dyer

04 Hodge Conjecture

05 Navier-Stokes Equation

06 Yang-Mills Theory

07 Poincaré Conjecture Solved

Core Curriculum

Foundational Mathematics

Master the essential pillars that underpin all advanced mathematical reasoning and scientific computation.

Analysis

Complex Analysis

Study of functions of complex variables, contour integration, residues, and conformal mappings.

Advanced 14 Weeks Explore

Analysis

Calculus

Limits, derivatives, integrals, and infinite series — the language of continuous change.

Foundational 16 Weeks Explore

Pure Math

Topology

Properties preserved under continuous deformations — open sets, manifolds, and homotopy theory.

Advanced 12 Weeks Explore

Algebra

Abstract Algebra

Groups, rings, fields, and modules — the algebraic structures that unify modern mathematics.

Advanced 14 Weeks Explore

Applied & Computational

Applied Mathematics

Where theory meets computation — courses that power modern science, engineering, and data analysis.

Algebra

Linear Algebra

Vector spaces, matrices, eigenvalues, and linear transformations — the backbone of ML and physics.

Foundational 12 Weeks Explore

Computational

Numerical Analysis

Algorithms for solving continuous math problems — root finding, integration, ODEs, and stability analysis.

Intermediate 14 Weeks Explore

Applied

Statistics & Probability

Statistical inference, distributions, hypothesis testing, and Bayesian reasoning for data science.

Foundational 14 Weeks Explore

Discrete

Graph Theory

Study of networks, connectivity, coloring, flows — essential for CS, social networks, and optimization.

Intermediate 12 Weeks Explore

Ready to master the language of the universe?

Whether you're pursuing pure research or applied data science, these courses will give you the mathematical foundation to think rigorously and solve hard problems.

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