Solanar Graduate Program✦Track 02 · Numerical Weather Prediction✦Data Assimilation · Ensembles · Hybrid AI/ML✦A++ Graduate Curriculum✦80% Hard Mastery✦Higher Learning Mathematics Integrated✦NAIB Research Mentor✦
NWP Mathematics BridgeKhaemenes Higher Learning × Solanar Graduate
Track HomeMath DepartmentNAIB Mentor
The quantitative spine of prediction

Mathematics of NWP & DA

Full mathematics instruction remains in Khaemenes Higher Learning. This graduate track applies those courses directly to dynamical systems, discretization, state estimation, covariance, ensembles, numerical stability, verification and research.

Calculus II

Prerequisite / remediation

Integration, infinite series, parametric reasoning, differential-equation applications and continuous model formulation.

Open Higher Learning Course

Linear Algebra

Core co-requisite

State vectors, matrices, least squares, eigenstructure, covariance, SVD, inverse problems and data assimilation.

Open Higher Learning Course

Differential Equations

Core co-requisite

Atmospheric governing equations, systems, stability, numerical integration, oscillations and dynamical prediction.

Open Higher Learning Course

Statistics

Core co-requisite

Probability, Bayesian foundations, estimation, regression, resampling, ensemble forecasting, calibration and verification.

Open Higher Learning Course

Introduction to Proofs

Graduate research reasoning

Assumptions, formal reasoning, convergence arguments, defensible methods and research writing.

Open Higher Learning Course

Real & Complex Analysis

Research distinction extension

Rigorous limits, convergence, continuity and advanced mathematical analysis for numerical-method research.

Open Higher Learning Course